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Verification and Control of Hybrid Systems A Symbolic Approach

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ISBN-10: 1441902236

ISBN-13: 9781441902238

Edition: 2009

Authors: Paulo Tabuada

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Description:

Hybrid systems describe the interaction of software, described by finite models such as finite-state machines, with the physical world, described by infinite models such as differential equations. This book addresses problems of verification and controller synthesis for hybrid systems. Although these problems are very difficult to solve for general hybrid systems, several authors have identified classes of hybrid systems that admit symbolic or finite models. The novelty of the book lies on the systematic presentation of these classes of hybrid systems along with the relationships between the hybrid systems and the corresponding symbolic models. To show how the existence of symbolic models…    
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Book details

Copyright year: 2009
Publisher: Springer
Publication date: 6/15/2009
Binding: Hardcover
Pages: 202
Size: 6.10" wide x 9.25" long x 0.50" tall
Weight: 2.376
Language: English

Basic concepts
Systems
System definition
System behavior
Examples
Composing systems
Notes
Verification problems
Sa $$ Sb
Sa $$ Sb
Control problems
Sc $$ Sa $$ Sb
Sc $$ Sa $$ Sb
Finite systems
Exact system relationships
Behavioral relationships
Similarity relationships
Alternating similarity relationships
Notes
Verification
Behavioral relations
Similarity relations
Notes
Control
Feedback composition
Safety games
Reachability games
Behavioral games
Similarity games
Notes
Infinite Systems: Exact symbolic models
Exact symbolic models for verification
Dynamical and hybrid dynamical systems as systems
Timed automata
Order minimal hybrid dynamical systems
Sign based abstractions
Barrier certificates
Computation of reachable sets
Advanced topics
Notes
Exact symbolic models for control
Control systems as systems
Controller refinement
Discrete-time linear control systems
Continuous-time multi-affine control systems
Notes
Infinite Systems: Approximate symbolic models
Approximate system relationships
Approximate similarity relationships
Approximate alternating similarity relationships
Notes
Approximate symbolic models for verification
Stability of linear dynamical systems
Dynamical systems as systems
Symbolic models for affine dynamical systems
Advanced topics
Notes
Approximate symbolic models for control
Stability of linear control systems
Control and switched systems as systems
Approximate feedback composition and controller refinement
Symbolic models for affine control systems
Symbolic models for switched affine systems
Advanced topics
Notes
Appendix
Lattice theory
Fixed-points
References
Index
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