1.

Record Nr.

UNINA9910338254403321

Autore

Liu Xinzhi

Titolo

Impulsive Systems on Hybrid Time Domains / / by Xinzhi Liu, Kexue Zhang

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019

ISBN

3-030-06212-0

Edizione

[1st ed. 2019.]

Descrizione fisica

1 online resource (IX, 321 p. 63 illus., 51 illus. in color.)

Collana

IFSR International Series in Systems Science and Systems Engineering, , 1574-0463 ; ; 33

Disciplina

515.39

515.48

003

Soggetti

Dynamics

Ergodic theory

System theory

Dynamical Systems and Ergodic Theory

Systems Theory, Control

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.