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Discrete-Time and Discrete-Space Dynamical Systems

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Discrete-Time and Discrete-Space Dynamical Systems/ by Kuize Zhang, Lijun Zhang, Lihua Xie.
作者:	Zhang, Kuize.
其他作者:	Xie, Lihua.
面頁冊數:	XIV, 222 p. 95 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical and Computational Biology. -
電子資源:	https://doi.org/10.1007/978-3-030-25972-3
ISBN:	9783030259723

Discrete-Time and Discrete-Space Dynamical Systems
Zhang, Kuize.

Discrete-Time and Discrete-Space Dynamical Systems[electronic resource] /by Kuize Zhang, Lijun Zhang, Lihua Xie. - 1st ed. 2020. - XIV, 222 p. 95 illus., 1 illus. in color.online resource. - Communications and Control Engineering,0178-5354. - Communications and Control Engineering,.

Introduction -- Preliminaries -- Introduction to Different Types of Discrete-Time and Discrete-Space Dynamical Systems -- Invertibility and Nonsingularity of Boolean Control Networks -- Observability of Boolean Control Networks -- Detectability of Boolean Control Networks -- Observability and Detectability of Large-Scale Boolean Control Networks -- Observability of Nondeterministic Finite-Transition Systems -- Detectability of Nondeterministic Finite-Transition Systems -- Detectability of Finite-State Automata -- Detectability of Labelled Petri Nets -- Generalized Reversibility of Topological Dynamical Systems and Cellular Automata -- Generalized Reversibility of Variant Cellular Automata -- Solutions -- Index.

Discrete-Time and Discrete-Space Dynamical Systems provides a systematic characterization of the similarities and differences of several types of discrete-time and discrete-space dynamical systems, including: Boolean control networks; nondeterministic finite-transition systems; finite automata; labelled Petri nets; and cellular automata. The book's perspective is primarily based on topological properties though it also employs semitensor-product and graph-theoretic methods where appropriate. It presents a series of fundamental results: invertibility, observability, detectability, reversiblity, etc., with applications to systems biology. Academic researchers with backgrounds in applied mathematics, engineering or computer science and practising engineers working with discrete-time and discrete-space systems will find this book a helpful source of new understanding for this increasingly important class of systems. The basic results to be found within are of fundamental importance for further study of related problems such as automated synthesis and safety control in cyber-physical systems using formal methods.

ISBN: 9783030259723

Standard No.: 10.1007/978-3-030-25972-3doiSubjects--Topical Terms:

786706
Mathematical and Computational Biology.

LC Class. No.: TJ212-225

Dewey Class. No.: 629.8

Discrete-Time and Discrete-Space Dynamical Systems
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