Nonnegative And Compartmental Dynamical Systems

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Nonnegative and Compartmental Dynamical Systems

Author : Wassim M. Haddad
Publisher : Princeton University Press
ISBN 13 : 1400832241
Total Pages : 624 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Nonnegative and Compartmental Dynamical Systems by : Wassim M. Haddad

Download or read book Nonnegative and Compartmental Dynamical Systems written by Wassim M. Haddad and published by Princeton University Press. This book was released on 2010-01-04 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive book provides the first unified framework for stability and dissipativity analysis and control design for nonnegative and compartmental dynamical systems, which play a key role in a wide range of fields, including engineering, thermal sciences, biology, ecology, economics, genetics, chemistry, medicine, and sociology. Using the highest standards of exposition and rigor, the authors explain these systems and advance the state of the art in their analysis and active control design. Nonnegative and Compartmental Dynamical Systems presents the most complete treatment available of system solution properties, Lyapunov stability analysis, dissipativity theory, and optimal and adaptive control for these systems, addressing continuous-time, discrete-time, and hybrid nonnegative system theory. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers, as well as for researchers and graduate students who want to understand the behavior of nonnegative and compartmental dynamical systems that arise in areas such as biomedicine, demographics, epidemiology, pharmacology, telecommunications, transportation, thermodynamics, networks, heat transfer, and power systems.

A Dynamical Systems Theory of Thermodynamics

Author : Wassim M. Haddad
Publisher : Princeton University Press
ISBN 13 : 0691190143
Total Pages : 744 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis A Dynamical Systems Theory of Thermodynamics by : Wassim M. Haddad

Download or read book A Dynamical Systems Theory of Thermodynamics written by Wassim M. Haddad and published by Princeton University Press. This book was released on 2019-06-04 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brand-new conceptual look at dynamical thermodynamics This book merges the two universalisms of thermodynamics and dynamical systems theory in a single compendium, with the latter providing an ideal language for the former, to develop a new and unique framework for dynamical thermodynamics. In particular, the book uses system-theoretic ideas to bring coherence, clarity, and precision to an important and poorly understood classical area of science. The dynamical systems formalism captures all of the key aspects of thermodynamics, including its fundamental laws, while providing a mathematically rigorous formulation for thermodynamical systems out of equilibrium by unifying the theory of mechanics with that of classical thermodynamics. This book includes topics on nonequilibrium irreversible thermodynamics, Boltzmann thermodynamics, mass-action kinetics and chemical reactions, finite-time thermodynamics, thermodynamic critical phenomena with continuous and discontinuous phase transitions, information theory, continuum and stochastic thermodynamics, and relativistic thermodynamics. A Dynamical Systems Theory of Thermodynamics develops a postmodern theory of thermodynamics as part of mathematical dynamical systems theory. The book establishes a clear nexus between thermodynamic irreversibility, the second law of thermodynamics, and the arrow of time to further unify discreteness and continuity, indeterminism and determinism, and quantum mechanics and general relativity in the pursuit of understanding the most fundamental property of the universe—the entropic arrow of time.

Biology and Control Theory: Current Challenges

Author : Isabelle Queinnec
Publisher : Springer
ISBN 13 : 3540719881
Total Pages : 342 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Biology and Control Theory: Current Challenges by : Isabelle Queinnec

Download or read book Biology and Control Theory: Current Challenges written by Isabelle Queinnec and published by Springer. This book was released on 2007-08-07 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Creating some links between control feedback and biology modeling communities based on similarities in modeling, observing and perceiving alive structures, and analyzing interconnections between biological structures and subsystems was the main objective of this volume. In this context, biology systems need appropriate analysis tools due to their structure and hierarchy, complexity and environment interference, and we believe that these aspects may generate interesting research topics in control area. Indeed, several works, raising the potential impact of control developments to bring some beginning of answers in the context of biological systems, have been published in the recent years. The idea of this book was conceived in the context mentioned above with the objective to help in claiming many of the problems for control researchers, starting discussions and opening interactive debates between the control and biology communities, and, finally, to alert graduate students to the many interesting ideas at the frontier between control feedback theory and biology.

Impulsive and Hybrid Dynamical Systems

Author : Wassim M. Haddad
Publisher : Princeton University Press
ISBN 13 : 1400865247
Total Pages : 522 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Impulsive and Hybrid Dynamical Systems by : Wassim M. Haddad

Download or read book Impulsive and Hybrid Dynamical Systems written by Wassim M. Haddad and published by Princeton University Press. This book was released on 2014-09-08 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a general analysis and synthesis framework for impulsive and hybrid dynamical systems. Such a framework is imperative for modern complex engineering systems that involve interacting continuous-time and discrete-time dynamics with multiple modes of operation that place stringent demands on controller design and require implementation of increasing complexity--whether advanced high-performance tactical fighter aircraft and space vehicles, variable-cycle gas turbine engines, or air and ground transportation systems. Impulsive and Hybrid Dynamical Systems goes beyond similar treatments by developing invariant set stability theorems, partial stability, Lagrange stability, boundedness, ultimate boundedness, dissipativity theory, vector dissipativity theory, energy-based hybrid control, optimal control, disturbance rejection control, and robust control for nonlinear impulsive and hybrid dynamical systems. A major contribution to mathematical system theory and control system theory, this book is written from a system-theoretic point of view with the highest standards of exposition and rigor. It is intended for graduate students, researchers, and practitioners of engineering and applied mathematics as well as computer scientists, physicists, and other scientists who seek a fundamental understanding of the rich dynamical behavior of impulsive and hybrid dynamical systems.

Advances in Time-Delay Systems

Author : Silviu-Iulian Niculescu
Publisher : Springer Science & Business Media
ISBN 13 : 3642184820
Total Pages : 445 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Advances in Time-Delay Systems by : Silviu-Iulian Niculescu

Download or read book Advances in Time-Delay Systems written by Silviu-Iulian Niculescu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the mathematical description of a physical or biological process, it is a common practice \0 assume that the future behavior of Ihe process considered depends only on the present slate, and therefore can be described by a finite sct of ordinary diffe rential equations. This is satisfactory for a large class of practical systems. However. the existence of lime-delay elements, such as material or infonnation transport, of tcn renders such description unsatisfactory in accounting for important behaviors of many practical systems. Indeed. due largely to the current lack of effective metho dology for analysis and control design for such systems, the lime-delay elements arc often either neglected or poorly approximated, which frequently results in analysis and simulation of insufficient accuracy, which in turns leads to poor performance of the systems designed. Indeed, it has been demonstrated in the area of automatic control that a relatively small delay may lead to instability or significantly deteriora ted perfonnances for the corresponding closed-loop systems.

Network Information Systems

Author : Wassim M. Haddad
Publisher : SIAM
ISBN 13 : 1611977541
Total Pages : 637 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Network Information Systems by : Wassim M. Haddad

Download or read book Network Information Systems written by Wassim M. Haddad and published by SIAM. This book was released on 2023-06-06 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a unique treatment of network control systems. Drawing from fundamental principles of dynamical systems theory and dynamical thermodynamics, the authors develop a continuous-time, discrete-time, and hybrid dynamical system and control framework for linear and nonlinear large-scale network systems. The proposed framework extends the concepts of energy, entropy, and temperature to undirected and directed information networks. Continuous-time, discrete-time, and hybrid thermodynamic principles are used to design distributed control protocol algorithms for static and dynamic networked systems in the face of system uncertainty, exogenous disturbances, imperfect system network communication, and time delays. Network Information Systems: A Dynamical Systems Approach is written for applied mathematicians, dynamical systems theorists, control theorists, and engineers. Researchers and graduate students in a variety of fields who seek a fundamental understanding of the rich behavior of controlled large-scale network systems will also find this book useful. This book can be used for a first course on control design of large-scale network systems, such as control protocols for network systems, network information systems, a dynamical systems approach to network systems, and network thermodynamic systems. The prerequisites are a first course in nonlinear systems theory and a first course in advanced (multivariable) calculus.

Analysis and Synthesis of Positive Systems Under l1 and L1 Performance

Author : Xiaoming Chen
Publisher : Springer
ISBN 13 : 9811022275
Total Pages : 130 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Analysis and Synthesis of Positive Systems Under l1 and L1 Performance by : Xiaoming Chen

Download or read book Analysis and Synthesis of Positive Systems Under l1 and L1 Performance written by Xiaoming Chen and published by Springer. This book was released on 2016-07-27 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis introduces novel and significant results regarding the analysis and synthesis of positive systems, especially under l1 and L1 performance. It describes stability analysis, controller synthesis, and bounding positivity-preserving observer and filtering design for a variety of both discrete and continuous positive systems. It subsequently derives computationally efficient solutions based on linear programming in terms of matrix inequalities, as well as a number of analytical solutions obtained for special cases. The thesis applies a range of novel approaches and fundamental techniques to the further study of positive systems, thus contributing significantly to the theory of positive systems, a “hot topic” in the field of control.

Control of Uncertain Dynamic Systems

Author : Shankar P. Bhattacharyya
Publisher : CRC Press
ISBN 13 : 1000102564
Total Pages : 535 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Control of Uncertain Dynamic Systems by : Shankar P. Bhattacharyya

Download or read book Control of Uncertain Dynamic Systems written by Shankar P. Bhattacharyya and published by CRC Press. This book was released on 2020-09-23 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of 34 papers presented by leading researchers at the International Workshop on Robust Control held in San Antonio, Texas in March 1991. The common theme tying these papers together is the analysis, synthesis, and design of control systems subject to various uncertainties. The papers describe the latest results in parametric understanding, H8 uncertainty, l1 optical control, and Quantitative Feedback Theory (QFT). The book is the first to bring together all the diverse points of view addressing the robust control problem and should strongly influence development in the robust control field for years to come. For this reason, control theorists, engineers, and applied mathematicians should consider it a crucial acquisition for their libraries.

Dynamical Systems

Author : José A. Tenreiro Machado
Publisher : MDPI
ISBN 13 : 3906980472
Total Pages : 552 pages
Book Rating : 4.9/5 (69 download)

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Book Synopsis Dynamical Systems by : José A. Tenreiro Machado

Download or read book Dynamical Systems written by José A. Tenreiro Machado and published by MDPI. This book was released on 2018-10-09 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Printed Edition of the Special Issue Published in Entropy

Positive Systems

Author : James Lam
Publisher : Springer
ISBN 13 : 3030043274
Total Pages : 331 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Positive Systems by : James Lam

Download or read book Positive Systems written by James Lam and published by Springer. This book was released on 2019-01-12 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents high-quality original contributions on positive systems, including those with positivity in compartmental switched systems, Markovian jump systems, Boolean networks, interval observer design, fault detection, and delay systems. It comprises a selection of the best papers from POSTA 2018, the 6th International Conference on Positive Systems, which was held in Hangzhou, China, in August 2018. The POSTA conference series represents a targeted response to the growing need for research that reports on and critically discusses a wide range of topics concerning the theory and applications of positive systems. The book offers valuable insights for researchers in applied mathematics, control theory and their applications.

Positive Systems

Author : Filippo Cacace
Publisher : Springer
ISBN 13 : 3319542117
Total Pages : 248 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Positive Systems by : Filippo Cacace

Download or read book Positive Systems written by Filippo Cacace and published by Springer. This book was released on 2017-04-01 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents high-quality original contributions on positive systems, including topics such as: monotone dynamical systems in mathematical biology and game theory; mathematical developments for networked systems in biology, chemistry and the social sciences; linear and nonlinear positive operators; dynamical analysis, observation and control of positive distributed parameter systems; stochastic realization theory; biological systems with positive variables and positive controls; iterated function systems; nonnegative dynamic processes; and dimensioning problems for collaborative systems. The book comprises a selection of the best papers presented at the POSTA 2016, the 5th International Symposium on Positive Systems, which was held in Rome, Italy, in September 2016. This conference series represents a targeted response to the growing need for research that reports on and critically discusses a wide range of topics concerning the theory and applications of positive systems.

Thermodynamics

Author : Mizutani Tadashi
Publisher : BoD – Books on Demand
ISBN 13 : 9533075449
Total Pages : 454 pages
Book Rating : 4.5/5 (33 download)

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Book Synopsis Thermodynamics by : Mizutani Tadashi

Download or read book Thermodynamics written by Mizutani Tadashi and published by BoD – Books on Demand. This book was released on 2011-01-14 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress of thermodynamics has been stimulated by the findings of a variety of fields of science and technology. The principles of thermodynamics are so general that the application is widespread to such fields as solid state physics, chemistry, biology, astronomical science, materials science, and chemical engineering. The contents of this book should be of help to many scientists and engineers.

Control Applications for Biomedical Engineering Systems

Author : Ahmad Taher Azar
Publisher : Academic Press
ISBN 13 : 0128174625
Total Pages : 478 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Control Applications for Biomedical Engineering Systems by : Ahmad Taher Azar

Download or read book Control Applications for Biomedical Engineering Systems written by Ahmad Taher Azar and published by Academic Press. This book was released on 2020-01-22 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control Applications for Biomedical Engineering Systems presents different control engineering and modeling applications in the biomedical field. It is intended for senior undergraduate or graduate students in both control engineering and biomedical engineering programs. For control engineering students, it presents the application of various techniques already learned in theoretical lectures in the biomedical arena. For biomedical engineering students, it presents solutions to various problems in the field using methods commonly used by control engineers. - Points out theoretical and practical issues to biomedical control systems - Brings together solutions developed under different settings with specific attention to the validation of these tools in biomedical settings using real-life datasets and experiments - Presents significant case studies on devices and applications

Recent Advances in Control Problems of Dynamical Systems and Networks

Author : Ju H. Park
Publisher : Springer Nature
ISBN 13 : 3030491234
Total Pages : 548 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Recent Advances in Control Problems of Dynamical Systems and Networks by : Ju H. Park

Download or read book Recent Advances in Control Problems of Dynamical Systems and Networks written by Ju H. Park and published by Springer Nature. This book was released on 2020-08-11 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book introduces readers to new analytical techniques and controller design schemes used to solve the emerging “hottest” problems in dynamic control systems and networks. In recent years, the study of dynamic systems and networks has faced major changes and challenges with the rapid advancement of IT technology, accompanied by the 4th Industrial Revolution. Many new factors that now have to be considered, and which haven’t been addressed from control engineering perspectives to date, are naturally emerging as the systems become more complex and networked. The general scope of this book includes the modeling of the system itself and uncertainty elements, examining stability under various criteria, and controller design techniques to achieve specific control objectives in various dynamic systems and networks. In terms of traditional stability matters, this includes the following special issues: finite-time stability and stabilization, consensus/synchronization, fault-tolerant control, event-triggered control, and sampled-data control for classical linear/nonlinear systems, interconnected systems, fractional-order systems, switched systems, neural networks, and complex networks. In terms of introducing graduate students and professional researchers studying control engineering and applied mathematics to the latest research trends in the areas mentioned above, this book offers an excellent guide.

Dissipative Systems Analysis and Control

Author : Bernard Brogliato
Publisher : Springer Science & Business Media
ISBN 13 : 1846285178
Total Pages : 589 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Dissipative Systems Analysis and Control by : Bernard Brogliato

Download or read book Dissipative Systems Analysis and Control written by Bernard Brogliato and published by Springer Science & Business Media. This book was released on 2006-11-24 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of Dissipative Systems Analysis and Control has been substantially reorganized to accommodate new material and enhance its pedagogical features. It examines linear and nonlinear systems with examples of both in each chapter. Also included are some infinite-dimensional and nonsmooth examples. Throughout, emphasis is placed on the use of the dissipative properties of a system for the design of stable feedback control laws.

Control and System Theory of Discrete-Time Stochastic Systems

Author : Jan H. van Schuppen
Publisher : Springer Nature
ISBN 13 : 3030669521
Total Pages : 940 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Control and System Theory of Discrete-Time Stochastic Systems by : Jan H. van Schuppen

Download or read book Control and System Theory of Discrete-Time Stochastic Systems written by Jan H. van Schuppen and published by Springer Nature. This book was released on 2021-08-02 with total page 940 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book helps students, researchers, and practicing engineers to understand the theoretical framework of control and system theory for discrete-time stochastic systems so that they can then apply its principles to their own stochastic control systems and to the solution of control, filtering, and realization problems for such systems. Applications of the theory in the book include the control of ships, shock absorbers, traffic and communications networks, and power systems with fluctuating power flows. The focus of the book is a stochastic control system defined for a spectrum of probability distributions including Bernoulli, finite, Poisson, beta, gamma, and Gaussian distributions. The concepts of observability and controllability of a stochastic control system are defined and characterized. Each output process considered is, with respect to conditions, represented by a stochastic system called a stochastic realization. The existence of a control law is related to stochastic controllability while the existence of a filter system is related to stochastic observability. Stochastic control with partial observations is based on the existence of a stochastic realization of the filtration of the observed process.

Cooperative Control of Networked Vehicles

Author : Alexander Schwab
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832555498
Total Pages : 192 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Cooperative Control of Networked Vehicles by : Alexander Schwab

Download or read book Cooperative Control of Networked Vehicles written by Alexander Schwab and published by Logos Verlag Berlin GmbH. This book was released on 2022-08-29 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis concerns the cooperative control of networked vehicles. Autonomous driving is a topic that is currently being discussed with great interest from researchers, vehicle manufacturers and the corresponding media. Future autonomous vehicles should bring the passengers to their desired destination while improving both safety and efficiency compared to current human-driven vehicles. The inherent problem of all vehicle coordination tasks is to guarantee collision avoidance in every situation. To this end, autonomous vehicles have to share information with each other in order to perform traffic manoeuvres that require the cooperation of multiple vehicles. The fundamental problem of vehicle platooning is studied extensively which describes the task of arranging a set of vehicles so that they drive with a common velocity and a prescribed distance. Local design objectives are derived that have to be satisfied by the vehicle controllers. In particular, it is shown that the vehicles have to be externally positive to achieve collision avoidance. As an abstraction from real traffic scenarios, swarms of networked vehicles are considered. The main difference between swarming and traffic problems is that a communication structure that has been appropriate in the beginning might become unsuited for the control task due to the relative movement of the vehicles. To solve this problem, this thesis proposes to use the Delaunay triangulation as a switching communication structure.