Stability analysis of a class of non-simultaneous interconnected impulsive systems

•Input-to-state stability of two interconnected impulsive systems with a class of non-coincident impulse sequences is studied.•The coefficients of the candidate exponential ISS Lyapunov function of each subsystem are considered to be time-varying.•The newly-derived conditions demand DT/RDT constrain...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation 2020-04, Vol.83, p.105141, Article 105141
Main Authors: Aghaeeyan, A., Yazdanpanah, M.J.
Format: Article
Language:English
Subjects:
Impulsive systems
Input-to-state stability
Liapunov functions
Mathematical functions
Nonlinear equations
Nonlinear systems
Numerical analysis
Small gain theorem
Stability analysis
Studies
Subsystems
Systems stability
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Summary:•Input-to-state stability of two interconnected impulsive systems with a class of non-coincident impulse sequences is studied.•The coefficients of the candidate exponential ISS Lyapunov function of each subsystem are considered to be time-varying.•The newly-derived conditions demand DT/RDT constraints on impulse sequences to ensure input-to-state stability.•Unlike prior results, each subsystem is allowed to possess stabilizing or destabilizing flows. This paper provides sufficient conditions for input-to-state stability of two interconnected nonlinear impulsive systems whose jump instants are not necessarily identical. Unlike prior results, each subsystem is allowed to possess stabilizing or destabilizing flows. In this regard, a candidate exponential input-to-state stable (ISS) Lyapunov function is constructed for the overall system. Then, by bounding the trajectory, for each possible combination of impulsive subsystems, sufficient conditions are presented which ensure input-to-state stability of the interconnected system. Furthermore, to render the newly-derived conditions less conservative, the coefficients of the candidate exponential ISS Lyapunov function of each subsystem are considered to be time-varying. The applicability of the theoretical outcomes is verified through some numerical examples.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2019.105141