Impulsive Systems on Hybrid Time Domains

• Main Authors: Liu, Xinzhi (Author, http://id.loc.gov/vocabulary/relators/aut), Zhang, Kexue (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: IFSR International Series in Systems Science and Systems Engineering, 33
• Subjects: Dynamics.; Ergodic theory.; System theory.; Dynamical Systems and Ergodic Theory.; Systems Theory, Control.

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 aroun...

Table of Contents:

• 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.