03545nam 22006135 450 991025432990332120200702091927.010.1007/978-3-319-50763-7(CKB)3710000001095332(DE-He213)978-3-319-50763-7(MiAaPQ)EBC4821162(iGPub)SPNA0049391(PPN)199768706(EXLCZ)99371000000109533220170309d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierFormal Methods for Discrete-Time Dynamical Systems /by Calin Belta, Boyan Yordanov, Ebru Aydin Gol1st ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (XVIII, 284 p. 93 illus., 39 illus. in color.) Studies in Systems, Decision and Control,2198-4182 ;893-319-50762-1 3-319-50763-X Includes bibliographical references and index.Transition Systems -- Temporal Logics and Automata -- Model Checking -- Largest Finite Satisfying Region -- Finite Temporal Logic Control -- Discrete-Time Dynamical Systems -- Largest Satisfying Region -- Parameter Synthesis -- Temporal Logic Control -- Finite Bisimulations -- Language Guided Controller Synthesis -- Optimal Temporal Logic Control -- Background.This 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.Studies in Systems, Decision and Control,2198-4182 ;89Automatic controlComputational complexitySystem theoryControl and Systems Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/T19010Complexityhttps://scigraph.springernature.com/ontologies/product-market-codes/T11022Systems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Automatic control.Computational complexity.System theory.Control and Systems Theory.Complexity.Systems Theory, Control.620Belta Calinauthttp://id.loc.gov/vocabulary/relators/aut929361Yordanov Boyanauthttp://id.loc.gov/vocabulary/relators/autAydin Gol Ebruauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910254329903321Formal Methods for Discrete-Time Dynamical Systems2088784UNINA