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Discrete-time and discrete-space dynamical systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Discrete-time and discrete-space dynamical systemsby Kuize Zhang, Lijun Zhang, Lihua Xie.
Author:	Zhang, Kuize.
other author:	Zhang, Lijun.
Published:	Cham :Springer International Publishing :2020.
Description:	xiv, 222 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Discrete-time systems.
Online resource:	https://doi.org/10.1007/978-3-030-25972-3
ISBN:	9783030259723$q(electronic bk.)

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. - Cham :Springer International Publishing :2020. - xiv, 222 p. :ill. (some col.), digital ;24 cm. - 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$q(electronic bk.)

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

182123
Discrete-time systems.

LC Class. No.: QA402

Dewey Class. No.: 629.8

Discrete-time and discrete-space dynamical systems
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505 0 $a 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.
520 $a 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.
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