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Razumikhin and Krasovskii methods for asymptotic stability of nonlinear delay impulsive systems on time scales

  • Published:2019-05 Issue: Volume:32 Page:1-9
  • ISSN:1751-570X
  • Container-title:Nonlinear Analysis: Hybrid Systems
  • language:en
  • Short-container-title:Nonlinear Analysis: Hybrid Systems

Author:

Zhang Xianfu,Lu XiaodongORCID,Liu Zhi

Funder

National Natural Science Foundations of China

Natural Science Fund for Distinguished Young Scholars of Shandong Province, China

Publisher

Elsevier BV

Subject

Computer Science Applications,Analysis,Control and Systems Engineering

Reference40 articles.

1. Theory of Functional Differential Equations;Hale,1977

2. Memoryless approach to the LQ and LQG problems with variable input delay;Cacace;IEEE Trans. Automat. Control,2016

3. Exponential stability of nonlinear time-delay systems with delayed impulse effects;Chen;Automatica,2011

4. Time-Delay Systems: Lyapunov Functionals and Matrices;Kharitonov,2013

5. Stability analysis for time-varying systems with delay using linear Lyapunov functionals and a positive systems approach;Mazenc;IEEE Trans. Automat. Control,2016

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2. A Relaxed Lyapunov–Razumikhin Theorem for Retarded Differential Equation on Time Scale: Application to Single-Species System;IEEE Transactions on Systems, Man, and Cybernetics: Systems;2024-01

3. Input-to-state stability analysis of stochastic delayed switching systems;Science China Information Sciences;2023-10-26

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5. Asymptotic stability for nonlinear time-varying systems on time scales;Journal of Mathematical Analysis and Applications;2023-08
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