Theory of Hybrid Systems: Deterministic and Stochastic
Theory of Hybrid Systems: Deterministic and Stochastic

Author: Mohamad S. Alwan

Publisher: Springer

Published: 2018-10-04

Total Pages: 252

ISBN-13: 9811080461

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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
Stochastic Hybrid Systems

Author: Christos G. Cassandras

Publisher: CRC Press

Published: 2018-10-03

Total Pages: 300

ISBN-13: 1420008544

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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
Optimal Control of Deterministic and Stochastic Hybrid Systems

Author: Ali Pakniyat

Publisher:

Published: 2017

Total Pages:

ISBN-13:

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"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
Stochastic Hybrid Systems

Author: Henk A.P. Blom

Publisher: Springer

Published: 2009-09-02

Total Pages: 397

ISBN-13: 9783540822844

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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
Handbook of Hybrid Systems Control

Author: Jan Lunze

Publisher: Cambridge University Press

Published: 2009-10-15

Total Pages: 583

ISBN-13: 0521765056

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Sets out core theory and reviews new methods and applications to show how hybrid systems can be modelled and understood.

Hybrid Systems: Computation and Control
Hybrid Systems: Computation and Control

Author: Nancy Lynch

Publisher: Springer Science & Business Media

Published: 2007-10-28

Total Pages: 465

ISBN-13: 3540464301

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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
An Introduction to Hybrid Dynamical Systems

Author: Arjan J. van der Schaft

Publisher: Springer

Published: 2007-10-03

Total Pages: 189

ISBN-13: 1846285429

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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
Hybrid Systems: Computation and Control

Author: Rajeev Alur

Publisher: Springer

Published: 2004-02-24

Total Pages: 686

ISBN-13: 3540247432

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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
Stochastic Reachability Analysis of Hybrid Systems

Author: Luminita Manuela Bujorianu

Publisher: Springer Science & Business Media

Published: 2012-04-23

Total Pages: 251

ISBN-13: 1447127951

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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.