Theory Of Hybrid Systems Deterministic And Stochastic

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Theory of Hybrid Systems: Deterministic and Stochastic

Author : Mohamad S. Alwan
Publisher : Springer
ISBN 13 : 9811080461
Total Pages : 252 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Theory of Hybrid Systems: Deterministic and Stochastic by : Mohamad S. Alwan

Download or read book Theory of Hybrid Systems: Deterministic and Stochastic written by Mohamad S. Alwan and published by Springer. This book was released on 2018-10-04 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first to present the application of the hybrid system theory to systems with EPCA (equations with piecewise continuous arguments). The hybrid system paradigm is a valuable modeling tool for describing a wide range of real-world applications. Moreover, although new technology has produced, and continues to produce highly hierarchical sophisticated machinery that cannot be analyzed as a whole system, hybrid system representation can be used to reduce the structural complexity of these systems. That is to say, hybrid systems have become a modeling priority, which in turn has led to the creation of a promising research field with several application areas. As such, the book explores recent developments in the area of deterministic and stochastic hybrid systems using the Lyapunov and Razumikhin–Lyapunov methods to investigate the systems’ properties. It also describes properties such as stability, stabilization, reliable control, H-infinity optimal control, input-to-state stability (ISS)/stabilization, state estimation, and large-scale singularly perturbed systems.

Stochastic Hybrid Systems

Author : Christos G. Cassandras
Publisher : CRC Press
ISBN 13 : 1420008544
Total Pages : 300 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Stochastic Hybrid Systems by : Christos G. Cassandras

Download or read book Stochastic Hybrid Systems written by Christos G. Cassandras and published by CRC Press. This book was released on 2018-10-03 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because they incorporate both time- and event-driven dynamics, stochastic hybrid systems (SHS) have become ubiquitous in a variety of fields, from mathematical finance to biological processes to communication networks to engineering. Comprehensively integrating numerous cutting-edge studies, Stochastic Hybrid Systems presents a captivating treatment of some of the most ambitious types of dynamic systems. Cohesively edited by leading experts in the field, the book introduces the theoretical basics, computational methods, and applications of SHS. It first discusses the underlying principles behind SHS and the main design limitations of SHS. Building on these fundamentals, the authoritative contributors present methods for computer calculations that apply SHS analysis and synthesis techniques in practice. The book concludes with examples of systems encountered in a wide range of application areas, including molecular biology, communication networks, and air traffic management. It also explains how to resolve practical problems associated with these systems. Stochastic Hybrid Systems achieves an ideal balance between a theoretical treatment of SHS and practical considerations. The book skillfully explores the interaction of physical processes with computerized equipment in an uncertain environment, enabling a better understanding of sophisticated as well as everyday devices and processes.

Optimal Control of Deterministic and Stochastic Hybrid Systems

Author : Ali Pakniyat
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (979 download)

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Book Synopsis Optimal Control of Deterministic and Stochastic Hybrid Systems by : Ali Pakniyat

Download or read book Optimal Control of Deterministic and Stochastic Hybrid Systems written by Ali Pakniyat and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Deterministic and stochastic hybrid optimal control problems are studied for systems where autonomous and controlled state jumps are allowed at the switching instants and, in addition to running costs, switching between discrete states incurs costs. Features of special interest in this work are the possibility of state space dimension change, and existence of low dimensional switching manifolds. In other words, the hybrid state space is considered as the direct product of a set of discrete state components with finite cardinality and a set of Euclidean spaces whose dimensions depend upon the discrete state components; and Euclidean spaces contain switching manifolds which correspond to autonomous switchings and jumps, and which are allowed to be codimension k submanifolds of the corresponding Euclidean state spaces, where k is greater than or equals to one. Statements of the Hybrid Minimum Principle (HMP) and Hybrid Dynamic Programming (HDP) are presented and it is shown that under certain assumptions the adjoint process in the HMP and the gradient of the value function in HDP are identical to each other almost everywhere along optimal trajectories. Furthermore, results for stochastic hybrid optimal control problems are established which generalize those of the deterministic case. A key feature of the stochastic hybrid systems framework under consideration is the presence of the hard constraints imposed by switching manifolds on diffusion-driven state trajectories; these constraints influence the boundary conditions in the Stochastic Hybrid Minimum Principle (SHMP). In addition to analytic examples, an electric vehicle equipped with a dual-stage planetary transmission is modelled in this framework, where, due to the special structure of the transmission, the mechanical degree of freedom changes during the transition period. Hybrid control problems for energy and time optimality of an electric vehicle acceleration task are studied which reveal unanticipated aspects of optimal energy saving strategies for the transmission control. " --

Stochastic Hybrid Systems

Author : Henk A.P. Blom
Publisher : Springer
ISBN 13 : 9783540822844
Total Pages : 397 pages
Book Rating : 4.8/5 (228 download)

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Book Synopsis Stochastic Hybrid Systems by : Henk A.P. Blom

Download or read book Stochastic Hybrid Systems written by Henk A.P. Blom and published by Springer. This book was released on 2009-09-02 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a number of fundamental theoretical advances in the area of stochastic hybrid systems, motivated primarily from applications to air traffic management. Air traffic is arguably the most challenging application area for stochastic hybrid systems, since it requires handling complex distributed systems, multiple human in the loop elements and hybrid dynamics. The editors have collected key contributions, which define the state-of-the-art, present novel directions, and highlight emerging application areas.

Handbook of Hybrid Systems Control

Author : Jan Lunze
Publisher : Cambridge University Press
ISBN 13 : 0521765056
Total Pages : 583 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Handbook of Hybrid Systems Control by : Jan Lunze

Download or read book Handbook of Hybrid Systems Control written by Jan Lunze and published by Cambridge University Press. This book was released on 2009-10-15 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sets out core theory and reviews new methods and applications to show how hybrid systems can be modelled and understood.

Probabilistic Reachability for Stochastic Hybrid Systems

Author : Alessandro Abate
Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.:/5 (34 download)

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Book Synopsis Probabilistic Reachability for Stochastic Hybrid Systems by : Alessandro Abate

Download or read book Probabilistic Reachability for Stochastic Hybrid Systems written by Alessandro Abate and published by . This book was released on 2007 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hybrid Systems: Computation and Control

Author : Nancy Lynch
Publisher : Springer Science & Business Media
ISBN 13 : 3540464301
Total Pages : 465 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Hybrid Systems: Computation and Control by : Nancy Lynch

Download or read book Hybrid Systems: Computation and Control written by Nancy Lynch and published by Springer Science & Business Media. This book was released on 2007-10-28 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Workshop on Hybrid Systems: Computation and Control, HSCC 2000, held in Pittsburgh, PA, USA in March 2000.; The 32 revised full papers presented together with abstracts of four invited talks were carefully reviewed and selected from a total of 71 papers submitted.; The focus of the works presented is on modeling, control, synthesis, design and verification of hybrid systems.; Among the application areas covered are control of electromechanical systems, air traffic control, control of automated freeways, and chemical process control.

An Introduction to Hybrid Dynamical Systems

Author : Arjan J. van der Schaft
Publisher : Springer
ISBN 13 : 1846285429
Total Pages : 189 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis An Introduction to Hybrid Dynamical Systems by : Arjan J. van der Schaft

Download or read book An Introduction to Hybrid Dynamical Systems written by Arjan J. van der Schaft and published by Springer. This book was released on 2007-10-03 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about dynamical systems that are "hybrid" in the sense that they contain both continuous and discrete state variables. Recently there has been increased research interest in the study of the interaction between discrete and continuous dynamics. The present volume provides a first attempt in book form to bring together concepts and methods dealing with hybrid systems from various areas, and to look at these from a unified perspective. The authors have chosen a mode of exposition that is largely based on illustrative examples rather than on the abstract theorem-proof format because the systematic study of hybrid systems is still in its infancy. The examples are taken from many different application areas, ranging from power converters to communication protocols and from chaos to mathematical finance. Subjects covered include the following: definition of hybrid systems; description formats; existence and uniqueness of solutions; special subclasses (variable-structure systems, complementarity systems); reachability and verification; stability and stabilizability; control design methods. The book will be of interest to scientists from a wide range of disciplines including: computer science, control theory, dynamical system theory, systems modeling and simulation, and operations research.

Hybrid Systems: Computation and Control

Author : Nancy Lynch
Publisher : Springer Science & Business Media
ISBN 13 : 3540672591
Total Pages : 480 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Hybrid Systems: Computation and Control by : Nancy Lynch

Download or read book Hybrid Systems: Computation and Control written by Nancy Lynch and published by Springer Science & Business Media. This book was released on 2000-03-13 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Workshop on Hybrid Systems: Computation and Control, HSCC 2000, held in Pittsburgh, PA, USA in March 2000. The 32 revised full papers presented together with abstracts of four invited talks were carefully reviewed and selected from a total of 71 papers submitted. The focus of the works presented is on modeling, control, synthesis, design and verification of hybrid systems. Among the application areas covered are control of electromechanical systems, air traffic control, control of automated freeways, and chemical process control.

Hybrid Systems: Computation and Control

Author : Rajeev Alur
Publisher : Springer
ISBN 13 : 3540247432
Total Pages : 686 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Hybrid Systems: Computation and Control by : Rajeev Alur

Download or read book Hybrid Systems: Computation and Control written by Rajeev Alur and published by Springer. This book was released on 2004-02-24 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 7th Workshop on Hybrid Systems: Computation and Control (HSCC 2004) held in Philadelphia, USA, from March 25 to 27, 2004. The annual workshop on hybrid systems attracts researchers from academia and industry interested in modeling, analysis, and implemen- tion of dynamic and reactive systems involving both discrete and continuous behaviors. The previous workshops in the HSCC series were held in Berkeley, USA(1998),Nijmegen,TheNetherlands(1999),Pittsburgh,USA(2000),Rome, Italy (2001), Palo Alto, USA (2002), and Prague, Czech Republic (2003). This year’s HSCC was organized in cooperation with ACM SIGBED (Special Interest Group on Embedded Systems) and was technically co-sponsored by the IEEE Control Systems Society. The program consisted of 4 invited talks and 43 regular papers selected from 117 regular submissions. The program covered topics such as tools for analysis and veri?cation, control and optimization, modeling, and engineering applica- ons, as in past years, and emerging directions in programming language support and implementation. The program also contained one special session focusing on the interplay between biomolecular networks, systems biology, formal methods, andthecontrolofhybridsystems.

Stochastic Reachability Analysis of Hybrid Systems

Author : Luminita Manuela Bujorianu
Publisher : Springer Science & Business Media
ISBN 13 : 1447127951
Total Pages : 251 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Stochastic Reachability Analysis of Hybrid Systems by : Luminita Manuela Bujorianu

Download or read book Stochastic Reachability Analysis of Hybrid Systems written by Luminita Manuela Bujorianu and published by Springer Science & Business Media. This book was released on 2012-04-23 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic reachability analysis (SRA) is a method of analyzing the behavior of control systems which mix discrete and continuous dynamics. For probabilistic discrete systems it has been shown to be a practical verification method but for stochastic hybrid systems it can be rather more. As a verification technique SRA can assess the safety and performance of, for example, autonomous systems, robot and aircraft path planning and multi-agent coordination but it can also be used for the adaptive control of such systems. Stochastic Reachability Analysis of Hybrid Systems is a self-contained and accessible introduction to this novel topic in the analysis and development of stochastic hybrid systems. Beginning with the relevant aspects of Markov models and introducing stochastic hybrid systems, the book then moves on to coverage of reachability analysis for stochastic hybrid systems. Following this build up, the core of the text first formally defines the concept of reachability in the stochastic framework and then treats issues representing the different faces of SRA: • stochastic reachability based on Markov process theory; • martingale methods; • stochastic reachability as an optimal stopping problem; and • dynamic programming. The book is rounded off by an appendix providing mathematical underpinning on subjects such as ordinary differential equations, probabilistic measure theory and stochastic modeling, which will help the non-expert-mathematician to appreciate the text. Stochastic Reachability Analysis of Hybrid Systems characterizes a highly interdisciplinary area of research and is consequently of significant interest to academic researchers and graduate students from a variety of backgrounds in control engineering, applied mathematics and computer science. The Communications and Control Engineering series reports major technological advances which have potential for great impact in the fields of communication and control. It reflects research in industrial and academic institutions around the world so that the readership can exploit new possibilities as they become available.

Control of Stochastic Hybrid Systems based on Probabilistic Reachable Set Computation

Author : Leonhard Asselborn
Publisher : kassel university press GmbH
ISBN 13 : 3737605807
Total Pages : 172 pages
Book Rating : 4.7/5 (376 download)

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Book Synopsis Control of Stochastic Hybrid Systems based on Probabilistic Reachable Set Computation by : Leonhard Asselborn

Download or read book Control of Stochastic Hybrid Systems based on Probabilistic Reachable Set Computation written by Leonhard Asselborn and published by kassel university press GmbH. This book was released on 2018-09-17 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis proposes an algorithmic controller synthesis based on the computation of probabilistic reachable sets for stochastic hybrid systems. Hybrid systems consist in general of a composition of discrete and continuous valued dynamics, and are able to capture a wide range of physical phenomena. The stochasticity is considered in form of normally distributed initial continuous states and normally distributed disturbances, resulting in stochastic hybrid systems. The reachable sets describe all states, which are reachable by a system for a given initialization of the system state, inputs, disturbances, and time horizon. For stochastic hybrid systems, these sets are probabilistic, since the system state and disturbance are random variables. This thesis introduces probabilistic reachable sets with a predefined confidence, which are used in an optimization based procedure for the determination of stabilizing control inputs. Besides the stabilizing property, the controlled dynamics also observes input constraints, as well as, so-called chance constraints for the continuous state. The main contribution of this thesis is the formulation of an algorithmic control procedure for each considerd type of stochastic hybrid systems, where different discrete dynamics are considered. First, a control procedure for a deterministic system with bounded disturbances is introduced, and thereafter a probabilistic distribution of the system state and the disturbance is assumed. The formulation of probabilistic reachable sets with a predefined confidence is subsequently used in a control procedure for a stochastic hybrid system, in which the switch of the continuous dynamics is externally induced. Finally, the control procedure based on reachable set computation is extended to a type of stochastic hybrid systems with autonomously switching of the continuous dynamics.

Hybrid Systems: Computation and Control

Author : Manfred Morari
Publisher : Springer
ISBN 13 : 3540319549
Total Pages : 695 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Hybrid Systems: Computation and Control by : Manfred Morari

Download or read book Hybrid Systems: Computation and Control written by Manfred Morari and published by Springer. This book was released on 2005-02-25 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th International Workshop on Hybrid Systems: Computation and Control, HSCC 2005, held in Zurich, Switzerland in March 2005. The 40 revised full papers presented together with 2 invited papers and the abstract of an invited talk were carefully reviewed and selected from 91 submissions. The papers focus on modeling, analysis, and implementation of dynamic and reactive systems involving both discrete and continuous behaviors. Among the topics addressed are tools for analysis and verification, control and optimization, modeling, engineering applications, and emerging directions in programming language support and implementation.

Hybrid Systems: Computation and Control

Author : Rajeev Alur
Publisher : Springer Science & Business Media
ISBN 13 : 3540212590
Total Pages : 686 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Hybrid Systems: Computation and Control by : Rajeev Alur

Download or read book Hybrid Systems: Computation and Control written by Rajeev Alur and published by Springer Science & Business Media. This book was released on 2004-03-12 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Workshop on Hybrid Systems: Computation and Control, HSCC 2004, held in Philadelphia, PA, USA, in March 2004. The 43 revised full papers presented together with an invited article were carefully reviewed and selected from 117 submissions. The papers address all current issues in hybrid systems such as tools for analysis and verification, control and optimization, modeling and engineering applications, and emerging topics in programming language support and implementation; a special focus is on the interplay between biomolecular networks, systems biology, formal methods, and control of hybrid systems.

Stochastic Dynamics in Computational Biology

Author : Stefanie Winkelmann
Publisher : Springer Nature
ISBN 13 : 3030623874
Total Pages : 284 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Stochastic Dynamics in Computational Biology by : Stefanie Winkelmann

Download or read book Stochastic Dynamics in Computational Biology written by Stefanie Winkelmann and published by Springer Nature. This book was released on 2021-01-04 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide a well-structured and coherent overview of existing mathematical modeling approaches for biochemical reaction systems, investigating relations between both the conventional models and several types of deterministic-stochastic hybrid model recombinations. Another main objective is to illustrate and compare diverse numerical simulation schemes and their computational effort. Unlike related works, this book presents a broad scope in its applications, from offering a detailed introduction to hybrid approaches for the case of multiple population scales to discussing the setting of time-scale separation resulting from widely varying firing rates of reaction channels. Additionally, it also addresses modeling approaches for non well-mixed reaction-diffusion dynamics, including deterministic and stochastic PDEs and spatiotemporal master equations. Finally, by translating and incorporating complex theory to a level accessible to non-mathematicians, this book effectively bridges the gap between mathematical research in computational biology and its practical use in biological, biochemical, and biomedical systems.

Robust Execution for Stochastic Hybrid Systems

Author : Lars Blackmore
Publisher :
ISBN 13 : 9783639098006
Total Pages : 188 pages
Book Rating : 4.0/5 (98 download)

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Book Synopsis Robust Execution for Stochastic Hybrid Systems by : Lars Blackmore

Download or read book Robust Execution for Stochastic Hybrid Systems written by Lars Blackmore and published by . This book was released on 2008-12-01 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: (cont.) For an important class of hybrid discrete-continuous system known as Jump Markov Linear Systems, the resulting deterministic optimization can be posed as a Mixed Integer Linear Program and solved to global optimality using efficient commercially-available solvers. Our second contribution is 'active' hybrid estimation subject to state plan constraints. Exact hybrid state estimation in stochastic hybrid systems is, in general, intractable. Tractable approximate hybrid estimation methods can lose track of the true hybrid state. In this thesis we develop an active hybrid estimation capability, which probes the system in order to reduce uncertainty in the hybrid state. This approach generates control sequences to minimize the probability of approximate hybrid estimation losing the true mode sequence, while ensuring that the state plan is satisfied subject to chance constraints. In order to make this problem tractable, we develop an analytic upper bound on the probability of losing the true mode sequence, and use a convex constraint tightening approach to approximate the chance constraints in the problem. Our final contribution is a novel hybrid model-learning approach. Specifying accurate hybrid system models is essential for accurate estimation and control, but is also extremely challenging. The hybrid executive must therefore determine hybrid system models from observed data. In this thesis we present an approximate Expectation-Maximization method for hybrid model learning; this method extends prior approaches to deal with mode transitions that depend on the continuous state.

Hybrid Systems: Computation and Control

Author : Joao Hespanha
Publisher : Springer Science & Business Media
ISBN 13 : 3540331700
Total Pages : 595 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Hybrid Systems: Computation and Control by : Joao Hespanha

Download or read book Hybrid Systems: Computation and Control written by Joao Hespanha and published by Springer Science & Business Media. This book was released on 2006-03-20 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th International Workshop on Hybrid Systems: Computation and Control, HSCC 2006, held in Santa Barbara, CA, USA in March 2006. The 39 revised full papers presented together with the abstracts of 3 invited talks were carefully reviewed and selected from 79 submissions. Among the topics addressed are tools for analysis and verification, control and optimization, modeling, engineering applications, and emerging directions in programming language support and implementation. The papers focus on modeling, analysis, and implementation of dynamic and reactive systems involving both discrete and continuous behaviors.