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Formal Methods for Discrete-Time Dynamical Systems [electronic resource] / by Calin Belta, Boyan Yordanov, Ebru Aydin Gol.

By: Belta, Calin [author.].
Contributor(s): Yordanov, Boyan [author.] | Aydin Gol, Ebru [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Studies in Systems, Decision and Control: 89Publisher: Cham : Springer International Publishing : Imprint: Springer, 2017Edition: 1st ed. 2017.Description: XVIII, 284 p. 93 illus., 39 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319507637.Subject(s): Control engineering | Dynamics | Nonlinear theories | System theory | Control theory | Control and Systems Theory | Applied Dynamical Systems | Systems Theory, ControlAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 629.8312 | 003 Online resources: Click here to access online
Contents:
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.
In: Springer Nature eBookSummary: 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.
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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.

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