.png){kind=icon}
.png){kind=icon}
Return
Stochastic input-to-state stability of asynchronous hybrid delayed systems with constrained impulses and switching
.png){kind=icon}
PRE
AI
L
Z
DOI：10.1007/s11071-026-12840-x.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
In this study, the problem of stochastic input-to-state stability (SISS) is systematically examined for asynchronous impulsive switched delayed systems with constrained impulsive and switching behavior. Here, “asynchronous" means that impulsive instants and switching instants do not necessarily coincide with each other, and “constrained" means that at each impulsive instant and switching instant, the impulse and the switching are respectively confined to the subset of the set composed of all modes. In particular, the impulses are assumed to be delay-dependent and the impulse intensity are stochastic. Meanwhile, a novel admissible edge-dependent average impulsive interval (AED-AII) concept is introduced. A distinct feature of the AED-AII method is that impulsive jumps do not need to rely on subsystem modes. Under constrained impulsive and switching behavior, the SISS of impulsive switched delayed systems is investigated in three cases. For each case, some stability criteria are presented by utilizing multiple Lyapunov–Krasovskii functionals, admissible edge-dependent average dwell time, and AED-AII methods. Compared with existing results on related problems, the obtained SISS criteria are more general in the sense that these results can be applied to a larger class of impulsive switched delayed systems with delay-dependent impulses and cover some existing results as special cases. Finally, numerical examples are provided to demonstrate the effectiveness and validity of the derived theoretical results.
Keywords:
Delay-dependent impulses
Stochastic input-to-state stability
Admissible edge-dependent average impulsive interval
Journal
IF:
6
Papers:
1.4W
Citations:
4.1W
Organization
Cited Papers