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020 _a9783319507637
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050 4 _aTA352
_b.B458 2017 EB
100 1 _aBelta, Calin,
_eautor
245 1 0 _aFormal methods for discrete-time dynamical systems
_cCalin Belta, Boyan Yordanov, Ebru Aydin Gol.
264 1 _aCham, Switzerland
_bSpringer
_c[2017]
264 4 _c2017
300 _a1 recurso en línea
336 _aTexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aStudies in systems, decision and control
_v89
500 _aSpringerLink
_bSpringer Engineering eBooks 2017 English+International
504 _aIncluye referencias bibliográficas e índice
505 0 _aForeword; Preface; Motivation and Objectives; Intended Audience; Book Outline and Usage; Related Books; Acknowledgements; Contents; Notations; Part I Transition Systems, Automata, and Temporal Logics; 1 Transition Systems; 1.1 Definitions and Examples; 1.2 Discrete-Time Dynamical Systems as Transition Systems; 1.3 Simulation and Bisimulation; 1.4 Notes; 2 Temporal Logics and Automata; 2.1 Linear Temporal Logic; 2.2 Automata; 2.3 Notes; Part II Analysis and Control of Finite Transition Systems; 3 Model Checking; 3.1 Notes; 4 Largest Finite Satisfying Region.
505 8 _a10.1 Bisimulation Quotient10.1.1 Level Sets and Slices; 10.1.2 Abstraction Algorithm; 10.1.3 Extensions; 10.1.4 Complexity; 10.2 Synthesis and Verification; 10.2.1 Synthesis; 10.2.2 Verification; 10.3 Notes; 11 Language Guided Controller Synthesis; 11.1 Dual Automaton Construction and Simplification; 11.2 Dual Automaton Refinement; 11.2.1 Transition Controllers; 11.2.2 Refinement; 11.2.3 Partitioning; 11.3 Control Strategy; 11.4 Notes; 12 Optimal Temporal Logic Control; 12.1 Automaton Generation; 12.2 Lyapunov-Type Functions for Dual Automaton; 12.2.1 Potential Function.
505 8 _a12.2.2 Contractive Potential Function12.3 MPC Strategies; 12.3.1 MPC with Terminal Constraints; 12.3.2 MPC with Terminal Cost; 12.4 Notes; Appendix A Background; A.1 Polytopes; A.2 Operations on Polytopes; A.3 Affine Functions on Polytopes; A.4 Semi-linear Sets and Affine Functions; A.5 Lyapunov Theory; A.6 Reach Control Problems on Polytopes; A.6.1 Iterative Pre-computation; A.6.2 Vertex Interpolation; A.6.3 Contractive Sets; A.7 Control Potential Functions; A.7.1 Control Potential Function Based on One Step Controllable Sets.
505 8 _a4.1 Model-Checking-Based Solution4.2 Abstraction-Based Solution; 4.3 Iterative Strategies; 4.4 Conservative Quotient Refinement; 4.5 Formula-Equivalence; 4.6 Notes; 5 Finite Temporal Logic Control; 5.1 Control of Transition Systems from LTL Specifications; 5.2 Control of Transition Systems from dLTL Specifications; 5.3 Control of Transition Systems from scLTL Specifications; 5.4 Notes; Part III Analysis and Control of Discrete-Time Dynamical Systems; 6 Discrete-Time Dynamical Systems; 6.1 Piecewise Affine Systems; 6.2 Switched Linear Systems; 6.3 Notes; 7 Largest Satisfying Region.
505 8 _a7.1 PWA Systems with Fixed and Additive Uncertain Parameters7.2 PWA Systems with Uncertain Parameters; 7.3 Formula-Guided Refinement; 7.4 Notes; 8 Parameter Synthesis; 8.1 Counterexample-Guided Pruning of Finite Systems; 8.2 Parameter Sets and Transitions; 8.3 Transient Parameters; 8.4 Parameter Synthesis for PWA Systems; 8.5 Parameter Synthesis Using Bisimulations; 8.6 Notes; 9 Temporal Logic Control; 9.1 Control Abstraction; 9.1.1 Definition; 9.1.2 Computation; 9.2 LTL Control of PWA Systems; 9.3 Conservatism and Stuttering Behavior; 9.4 Notes; 10 Finite Bisimulations.
520 3 _aThis book bridges fundamental gaps between control theory and formal methods. Although it focuses on discrete-time linear and piecewise affine systems, it also provides general frameworks for abstraction, analysis, and control of more general models. The book is self-contained, and while some mathematical knowledge is necessary, readers are not expected to have a background in formal methods or control theory. It rigorously defines concepts from formal methods, such as transition systems, temporal logics, model checking and synthesis. It then links these to the infinite state dynamical systems through abstractions that are intuitive and only require basic convex-analysis and control-theory terminology, which is provided in the appendix. Several examples and illustrations help readers understand and visualize the concepts introduced throughout the book.
650 7 _aDinámica
_2embne
_0(OCoLC)fst00900295
_0
_9138903
700 1 _aGol, Ebru Aydin,
_eautor
700 1 _aYordanov, Boyan,
_eautor
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=http://link.springer.com/10.1007/978-3-319-50763-7
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
988 _aEBOOK, asignarmaterias, EBSPRINGER_2017C
998 _b02/2018
_dz
_e-
_zSI
999 _c95562
_d95562
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