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Impulsive Systems on Hybrid Time Domains

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Impulsive Systems on Hybrid Time Domains/ by Xinzhi Liu, Kexue Zhang.
Author:	Liu, Xinzhi.
other author:	Zhang, Kexue.
Description:	IX, 321 p. 63 illus., 51 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Dynamics. -
Online resource:	https://doi.org/10.1007/978-3-030-06212-5
ISBN:	9783030062125

Impulsive Systems on Hybrid Time Domains
Liu, Xinzhi.

Impulsive Systems on Hybrid Time Domains[electronic resource] /by Xinzhi Liu, Kexue Zhang. - 1st ed. 2019. - IX, 321 p. 63 illus., 51 illus. in color.online resource. - IFSR International Series in Systems Science and Systems Engineering,331574-0463 ;. - IFSR International Series in Systems Science and Systems Engineering,32.

I. Introduction -- 1. Introduction -- II. Discrete-Time Impulsive Systems -- 2. Stability of Discrete-Time Impulsive Systems with Time-Delay -- 3. Application to Synchronization of Dynamical networks -- III. Continuous-Time Impulsive Systems -- 4. Stability of Impulsive Systems with Time-Delay -- 5. Consensus of Multi-Agent Systems -- 6. Stabilization and Synchronization of Dynamical Networks -- IV. Impulsive Systems on Time Scales -- 7. Differential Equations on Time Scales -- 8. Stability in terms of Two Measures of Impulsive Systems on Time Scales -- 9. Exponential Stability of Impulsive Time-Delay Systems on Time Scales -- 10. Control Problems on Time Scales -- V. Conclusions and Future Work -- 11. Conculsions and Future Directions.

This monograph discusses the issues of stability and the control of impulsive systems on hybrid time domains, with systems presented on discrete-time domains, continuous-time domains, and hybrid-time domains (time scales). Research on impulsive systems has recently attracted increased interest around the globe, and significant progress has been made in the theory and application of these systems. This book introduces recent developments in impulsive systems and fundamentals of various types of differential and difference equations. It also covers studies in stability related to time delays and other various control applications on the different impulsive systems. In addition to the analyses presented on dynamical systems that are with or without delays or impulses, this book concludes with possible future directions pertaining to this research.

ISBN: 9783030062125

Standard No.: 10.1007/978-3-030-06212-5doiSubjects--Topical Terms:

592238
Dynamics.

LC Class. No.: QA313

Dewey Class. No.: 515.39

Impulsive Systems on Hybrid Time Domains
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505 0 $a I. Introduction -- 1. Introduction -- II. Discrete-Time Impulsive Systems -- 2. Stability of Discrete-Time Impulsive Systems with Time-Delay -- 3. Application to Synchronization of Dynamical networks -- III. Continuous-Time Impulsive Systems -- 4. Stability of Impulsive Systems with Time-Delay -- 5. Consensus of Multi-Agent Systems -- 6. Stabilization and Synchronization of Dynamical Networks -- IV. Impulsive Systems on Time Scales -- 7. Differential Equations on Time Scales -- 8. Stability in terms of Two Measures of Impulsive Systems on Time Scales -- 9. Exponential Stability of Impulsive Time-Delay Systems on Time Scales -- 10. Control Problems on Time Scales -- V. Conclusions and Future Work -- 11. Conculsions and Future Directions.
520 $a This monograph discusses the issues of stability and the control of impulsive systems on hybrid time domains, with systems presented on discrete-time domains, continuous-time domains, and hybrid-time domains (time scales). Research on impulsive systems has recently attracted increased interest around the globe, and significant progress has been made in the theory and application of these systems. This book introduces recent developments in impulsive systems and fundamentals of various types of differential and difference equations. It also covers studies in stability related to time delays and other various control applications on the different impulsive systems. In addition to the analyses presented on dynamical systems that are with or without delays or impulses, this book concludes with possible future directions pertaining to this research.
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