Controllability of Singularly Perturbed Linear Time Delay Systems

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Publisher : Springer Nature
ISBN 13 : 3030659518
Total Pages : 419 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Controllability of Singularly Perturbed Linear Time Delay Systems by : Valery Y. Glizer

Download or read book Controllability of Singularly Perturbed Linear Time Delay Systems written by Valery Y. Glizer and published by Springer Nature. This book was released on 2021-03-24 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a comprehensive analysis of the control of singularly perturbed time delay systems. Expanding on the author’s previous work on controllability of linear systems with delays in the state and control variables, this volume’s comprehensive coverage makes it a valuable addition to the field. Each chapter is self-contained, allowing readers to study them independently or in succession. After a brief introduction, the book systematically examines properties of different classes of singularly perturbed time delay systems, including linear time-dependent systems with multiple point-wise and distributed state delays. The author then considers more general singularly perturbed systems with state and control delays. Euclidean space controllability for all of these systems is also discussed, using numerous examples from real-life models throughout the text to illustrate the results presented. More technically complicated proofs are presented in separate subsections. The final chapter includes a section dedicated to non-linear time delay systems. This book is ideal for researchers, engineers, and graduate students in systems science and control theory. Other applied mathematicians and researchers working in biology and medicine will also find this volume to be a valuable resource.

Optimal Control Of Singularly Perturbed Linear Systems And Applications

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Publisher : CRC Press
ISBN 13 : 0824744853
Total Pages : 264 pages
Book Rating : 4.8/5 (247 download)

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Book Synopsis Optimal Control Of Singularly Perturbed Linear Systems And Applications by : Zoran Gajic

Download or read book Optimal Control Of Singularly Perturbed Linear Systems And Applications written by Zoran Gajic and published by CRC Press. This book was released on 2001-01-04 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highlights the Hamiltonian approach to singularly perturbed linear optimal control systems. Develops parallel algorithms in independent slow and fast time scales for solving various optimal linear control and filtering problems in standard and nonstandard singularly perturbed systems, continuous- and discrete-time, deterministic and stochastic, multimodeling structures, Kalman filtering, sampled data systems, and much more.

Time-delay Systems

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Publisher : World Scientific
ISBN 13 : 9814307394
Total Pages : 153 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Time-delay Systems by : Sun Yi

Download or read book Time-delay Systems written by Sun Yi and published by World Scientific. This book was released on 2010 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprehensively presents a recently developed novel methodology for analysis and control of time-delay systems. Time-delays frequently occurs in engineering and science. Such time-delays can cause problems (e.g. instability) and limit the achievable performance of control systems. The concise and self-contained volume uses the Lambert W function to obtain solutions to time-delay systems represented by delay differential equations. Subsequently, the solutions are used to analyze essential system properties and to design controllers precisely and effectively.

Advanced, Contemporary Control

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Publisher : Springer Nature
ISBN 13 : 3030509362
Total Pages : 1560 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Advanced, Contemporary Control by : Andrzej Bartoszewicz

Download or read book Advanced, Contemporary Control written by Andrzej Bartoszewicz and published by Springer Nature. This book was released on 2020-06-24 with total page 1560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the 20th Polish Control Conference. A triennial event that was first held in 1958, the conference successfully combines its long tradition with a modern approach to shed light on problems in control engineering, automation, robotics and a wide range of applications in these disciplines. The book presents new theoretical results concerning the steering of dynamical systems, as well as industrial case studies and worked solutions to real-world problems in contemporary engineering. It particularly focuses on the modelling, identification, analysis and design of automation systems; however, it also addresses the evaluation of their performance, efficiency and reliability. Other topics include fault-tolerant control in robotics, automated manufacturing, mechatronics and industrial systems. Moreover, it discusses data processing and transfer issues, covering a variety of methodologies, including model predictive, robust and adaptive techniques, as well as algebraic and geometric methods, and fractional order calculus approaches. The book also examines essential application areas, such as transportation and autonomous intelligent vehicle systems, robotic arms, mobile manipulators, cyber-physical systems, electric drives and both surface and underwater marine vessels. Lastly, it explores biological and medical applications of the control-theory-inspired methods.

Nonlinear Analysis and Optimization II

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Publisher : American Mathematical Soc.
ISBN 13 : 0821848356
Total Pages : 314 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Nonlinear Analysis and Optimization II by : Simeon Reich

Download or read book Nonlinear Analysis and Optimization II written by Simeon Reich and published by American Mathematical Soc.. This book was released on 2010 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the second of two volumes representing leading themes of current research in nonlinear analysis and optimization. The articles are written by prominent researchers in these two areas and bring the readers, advanced graduate students and researchers alike, to the frontline of the vigorous research in important fields of mathematics. This volume contains articles on optimization. Topics covered include the calculus of variations, constrained optimization problems, mathematical economics, metric regularity, nonsmooth analysis, optimal control, subdifferential calculus, time scales and transportation traffic. The companion volume (Contemporary Mathematics, Volume 513) is devoted to nonlinear analysis. This book is co-published with Bar-Ilan University (Ramat-Gan, Israel). Table of Contents: J.-P. Aubin and S. Martin -- Travel time tubes regulating transportation traffic; R. Baier and E. Farkhi -- The directed subdifferential of DC functions; Z. Balanov, W. Krawcewicz, and H. Ruan -- Periodic solutions to $O(2)$-symmetric variational problems: $O(2) \times S^1$- equivariant gradient degree approach; J. F. Bonnans and N. P. Osmolovskii -- Quadratic growth conditions in optimal control problems; J. M. Borwein and S. Sciffer -- An explicit non-expansive function whose subdifferential is the entire dual ball; G. Buttazzo and G. Carlier -- Optimal spatial pricing strategies with transportation costs; R. A. C. Ferreira and D. F. M. Torres -- Isoperimetric problems of the calculus of variations on time scales; M. Foss and N. Randriampiry -- Some two-dimensional $\mathcal A$-quasiaffine functions; F. Giannessi, A. Moldovan, and L. Pellegrini -- Metric regular maps and regularity for constrained extremum problems; V. Y. Glizer -- Linear-quadratic optimal control problem for singularly perturbed systems with small delays; T. Maruyama -- Existence of periodic solutions for Kaldorian business fluctuations; D. Mozyrska and E. Paw'uszewicz -- Delta and nabla monomials and generalized polynomial series on time scales; D. Pallaschke and R. Urba'ski -- Morse indexes for piecewise linear functions; J.-P. Penot -- Error bounds, calmness and their applications in nonsmooth analysis; F. Rampazzo -- Commutativity of control vector fields and ""inf-commutativity""; A. J. Zaslavski -- Stability of exact penalty for classes of constrained minimization problems in finite-dimensional spaces. (CONM/514)

Dynamic Control and Optimization

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Publisher : Springer Nature
ISBN 13 : 3031175581
Total Pages : 244 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Dynamic Control and Optimization by : Tatiana V. Tchemisova

Download or read book Dynamic Control and Optimization written by Tatiana V. Tchemisova and published by Springer Nature. This book was released on 2022-12-29 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the revised selected papers of the International Conference on Dynamic Monitoring and Optimization, DCO 2021, held in Aveiro, Portugal, February 3-5, 2021. The papers present achievements in the most challenging areas of dynamic control, optimization and related topics, including recent results in nonlinear dynamic control systems, calculus of variations, sub-Riemannian geometry, conventional differential equations, control of PDE evolution, stochastic differential equations, the spread of acoustic waves in elastic media, dynamics in space-time, Nondegenerate abnormality, controllability, and the infimum gap phenomena in optimization and optimal control with state constraints.

Singular Perturbation Methodology in Control Systems

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Publisher : IET
ISBN 13 : 9780863411076
Total Pages : 314 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Singular Perturbation Methodology in Control Systems by : Desineni S. Naidu

Download or read book Singular Perturbation Methodology in Control Systems written by Desineni S. Naidu and published by IET. This book was released on 1988 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the twin topics of singular perturbation methods and time scale analysis to problems in systems and control. The heart of the book is the singularly perturbed optimal control systems, which are notorious for demanding excessive computational costs. The book addresses both continuous control systems (described by differential equations) and discrete control systems (characterised by difference equations).

Introduction to Time-Delay Systems

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Publisher : Springer
ISBN 13 : 3319093932
Total Pages : 362 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Introduction to Time-Delay Systems by : Emilia Fridman

Download or read book Introduction to Time-Delay Systems written by Emilia Fridman and published by Springer. This book was released on 2014-09-02 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: The beginning of the 21st century can be characterized as the” time-delay boom” leading to numerous important results. The purpose of this book is two-fold, to familiarize the non-expert reader with time-delay systems and to provide a systematic treatment of modern ideas and techniques for experts. This book is based on the course ”Introduction to time-delay systems” for graduate students in Engineering and Applied Mathematics that the author taught in Tel Aviv University in 2011-2012 and 2012-2013 academic years. The sufficient background to follow most of the material are the undergraduate courses in mathematics and an introduction to control. The book leads the reader from some basic classical results on time-delay systems to recent developments on Lyapunov-based analysis and design with applications to the hot topics of sampled-data and network-based control. The objective is to provide useful tools that will allow the reader not only to apply the existing methods, but also to develop new ones. It should be of interest for researchers working in the field, for graduate students in engineering and applied mathematics, and for practicing engineers. It may also be used as a textbook for a graduate course on time-delay systems.

Linear Parameter-Varying and Time-Delay Systems

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Publisher : Springer
ISBN 13 : 3662440504
Total Pages : 412 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Linear Parameter-Varying and Time-Delay Systems by : Corentin Briat

Download or read book Linear Parameter-Varying and Time-Delay Systems written by Corentin Briat and published by Springer. This book was released on 2014-09-03 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the analysis and control of Linear Parameter-Varying Systems and Time-Delay Systems and their interactions. The purpose is to give the readers some fundamental theoretical background on these topics and to give more insights on the possible applications of these theories. This self-contained monograph is written in an accessible way for readers ranging from undergraduate/PhD students to engineers and researchers willing to know more about the fields of time-delay systems, parameter-varying systems, robust analysis, robust control, gain-scheduling techniques in the LPV fashion and LMI based approaches. The only prerequisites are basic knowledge in linear algebra, ordinary differential equations and (linear) dynamical systems. Most of the results are proved unless the proof is too complex or not necessary for a good understanding of the results. In the latter cases, suitable references are systematically provided. The first part pertains on the representation, analysis and control of LPV systems along with a reminder on robust analysis and control techniques. The second part is concerned with the representation and analysis of time-delay systems using various time-domain techniques. The third and last part is devoted to the representation, analysis, observation, filtering and control of LPV time-delay systems. The book also presents many important basic and advanced results on the manipulation of LMIs.

Optimal Control Of Singularly Perturbed Linear Systems And Applications

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Publisher : CRC Press
ISBN 13 : 9780824789763
Total Pages : 326 pages
Book Rating : 4.7/5 (897 download)

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Book Synopsis Optimal Control Of Singularly Perturbed Linear Systems And Applications by : Zoran Gajic

Download or read book Optimal Control Of Singularly Perturbed Linear Systems And Applications written by Zoran Gajic and published by CRC Press. This book was released on 2001-01-04 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highlights the Hamiltonian approach to singularly perturbed linear optimal control systems. Develops parallel algorithms in independent slow and fast time scales for solving various optimal linear control and filtering problems in standard and nonstandard singularly perturbed systems, continuous- and discrete-time, deterministic and stochastic, multimodeling structures, Kalman filtering, sampled data systems, and much more.

Singularly Perturbed Jump Systems

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Publisher : Springer Nature
ISBN 13 : 9819701988
Total Pages : 250 pages
Book Rating : 4.8/5 (197 download)

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Book Synopsis Singularly Perturbed Jump Systems by : Hao Shen

Download or read book Singularly Perturbed Jump Systems written by Hao Shen and published by Springer Nature. This book was released on with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Singular Perturbations in Systems and Control

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Publisher : New York : Institute of Electrical and Electronics Engineers
ISBN 13 :
Total Pages : 514 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Singular Perturbations in Systems and Control by : Kokotovic Petar V

Download or read book Singular Perturbations in Systems and Control written by Kokotovic Petar V and published by New York : Institute of Electrical and Electronics Engineers. This book was released on 1986 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very Good,No Highlights or Markup,all pages are intact.

Time-delay Systems

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Publisher : World Scientific
ISBN 13 : 9814307408
Total Pages : 153 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Time-delay Systems by : Sun Yi

Download or read book Time-delay Systems written by Sun Yi and published by World Scientific. This book was released on 2010 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Introduction. 1.1. Motivation. 1.2. Background. 1.3. Scope of this document. 1.4. Original contributions -- 2. Solutions of systems of DDEs via the matrix Lambert W function. 2.1. Introduction. 2.2. Free systems of DDEs. 2.3. Forced systems. 2.4. Approach using the Laplace transformation. 2.5. Concluding remarks -- 3. Stability of systems of DDEs via the Lambert W function with application to machine tool chatter. 3.1. Introduction. 3.1. The Chatter equation in the turning process. 3.3. Solving DDEs and stability. 3.4. Concluding remarks -- 4. Controllability and observability of systems of linear delay differential equations via the matrix Lambert W function. 4.1. Introduction. 4.2. Controllability. 4.3. Observability. 4.4. Illustrative example. 4.5. Conclusions and future work -- 5. Eigenvalue assignment via the Lambert W function for control of time-delay systems. 5.1. Introduction. 5.2. Eigenvalue assignment for time-delay systems. 5.3. Design of a feedback Controller. 5.4. Conclusions -- 6. Robust control and time-domain specifications for systems of delay differential equations via eigenvalue assignment. 6.1. Introduction. 6.2. Robust feedback. 6.3. Time-domain specifications. 6.4. Concluding remarks -- 7. Design of observer-based feedback control for time-delay systems with application to automotive powertrain control. 7.1. Introduction. 7.2. Problem formulation. 7.3. Design of observer-based feedback controller. 7.4. Application to diesel engine control. 7.5. Conclusions -- 8. Eigenvalues and sensitivity analysis for a model of HIV pathogenesis with an intracellular delay. 8.1. Introduction. 8.2. HIV pathogenesis dynamic model with an intracellular delay. 8.3. Rightmost eigenvalue analysis. 8.4. Sensitivity analysis. 8.5. Concluding remarks and future work

Functional Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 680 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Functional Differential Equations by :

Download or read book Functional Differential Equations written by and published by . This book was released on 2006 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Control of Singular Systems with Random Abrupt Changes

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Publisher : Springer Science & Business Media
ISBN 13 : 3540743456
Total Pages : 268 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Control of Singular Systems with Random Abrupt Changes by : El-Kébir Boukas

Download or read book Control of Singular Systems with Random Abrupt Changes written by El-Kébir Boukas and published by Springer Science & Business Media. This book was released on 2008-01-12 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the class of singular systems with random abrupt changes also known as singular Markovian jump systems. Various problems and their robustness are tackled. The book examines both the theoretical and practical aspects of the control problems from the angle of the structural properties of linear systems. It can be used as a textbook as well as a reference for researchers in control or mathematics with interest in control theory.

Deterministic and Stochastic Time-Delay Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461200776
Total Pages : 429 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Deterministic and Stochastic Time-Delay Systems by : El-Kebir Boukas

Download or read book Deterministic and Stochastic Time-Delay Systems written by El-Kebir Boukas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most practical processes such as chemical reactor, industrial furnace, heat exchanger, etc., are nonlinear stochastic systems, which makes their con trol in general a hard problem. Currently, there is no successful design method for this class of systems in the literature. One common alterna tive consists of linearizing the nonlinear dynamical stochastic system in the neighborhood of an operating point and then using the techniques for linear systems to design the controller. The resulting model is in general an approximation of the real behavior of a dynamical system. The inclusion of the uncertainties in the model is therefore necessary and will certainly improve the performance of the dynamical system we want to control. The control of uncertain systems has attracted a lot of researchers from the control community. This topic has in fact dominated the research effort of the control community during the last two decades, and many contributions have been reported in the literature. Some practical dynamical systems have time delay in their dynamics, which makes their control a complicated task even in the deterministic case. Recently, the class ofuncertain dynamical deterministic systems with time delay has attracted some researchers, and some interesting results have been reported in both deterministic and stochastic cases. But wecan't claim that the control problem ofthis class ofsystems is completely solved; more work must be done for this class of systems.

Analysis and Synthesis of Dynamical Systems with Time-Delays

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Publisher : Springer
ISBN 13 : 3642026966
Total Pages : 288 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Analysis and Synthesis of Dynamical Systems with Time-Delays by : Yuanqing Xia

Download or read book Analysis and Synthesis of Dynamical Systems with Time-Delays written by Yuanqing Xia and published by Springer. This book was released on 2009-10-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-delay occurs in many dynamical systems such as biological systems, chemical systems, metallurgical processing systems, nuclear reactor, long transmission lines in pneumatic, hydraulic systems and electrical networks. Especially, in recent years, time-delay which exists in networked control s- temshasbroughtmorecomplexproblemintoanewresearcharea.Frequently, itisasourceofthegenerationofoscillation,instabilityandpoorperformance. Considerable e?ort has been applied to di?erent aspects of linear time-delay systems during recent years. Because the introduction of the delay factor renders the system analysis more complicated, in addition to the di?culties caused by the perturbation or uncertainties, in the control of time-delay s- tems, the problems of robust stability and robust stabilization are of great importance. This book presents some basic theories of stability and stabilization of systems with time-delay, which are related to the main results in this book. More attention will be paid on synthesis of systems with time-delay. That is, sliding mode control of systems with time-delay; networked control systems with time-delay; networked data fusion with random delay.