Impulsive Systems on Hybrid Time Domains

Description

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. Front Matter ....Pages i-ix Front Matter ....Pages 1-1 Introduction (Xinzhi Liu, Kexue Zhang)....Pages 3-7 Front Matter ....Pages 9-9 Stability of Discrete-Time Impulsive Systems with Time-Delay (Xinzhi Liu, Kexue Zhang)....Pages 11-59 Application to Synchronization of Dynamical Networks (Xinzhi Liu, Kexue Zhang)....Pages 61-70 Front Matter ....Pages 71-71 Stability of Impulsive Systems with Time-Delay (Xinzhi Liu, Kexue Zhang)....Pages 73-96 Consensus of Multi-Agent Systems (Xinzhi Liu, Kexue Zhang)....Pages 97-139 Stabilization and Synchronization of Dynamical Networks (Xinzhi Liu, Kexue Zhang)....Pages 141-177 Front Matter ....Pages 179-179 Differential Equations on Time Scales (Xinzhi Liu, Kexue Zhang)....Pages 181-212 Stability in Terms of Two Measures of Impulsive Systems on Time Scales (Xinzhi Liu, Kexue Zhang)....Pages 213-259 Exponential Stability of Impulsive Time-Delay Systems on Time Scales (Xinzhi Liu, Kexue Zhang)....Pages 261-284 Control Problems on Time Scales (Xinzhi Liu, Kexue Zhang)....Pages 285-301 Front Matter ....Pages 303-303 Conclusions and Future Directions (Xinzhi Liu, Kexue Zhang)....Pages 305-308 Back Matter ....Pages 309-321