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- Title
Timer-dependent L-K functional-based H∞ impulsive filtering for delayed implicit hybrid systems.
- Authors
Wang, Zekun; Zhuang, Guangming; Xie, Xiangpeng; Wang, Yanqian
- Abstract
This research discusses the issue of timer-dependent Lyapunov–Krasovskii functional-based H ∞ impulsive filtering for delayed implicit impulsive Markovian jump systems. A more holistic stochastic timer-dependent Lyapunov–Krasovskii functional featured with time delays, Markovian jump modes and impulse instants information is developed, which lays a solid foundation for the result that the implicit impulsive filtering error system meets stochastic admissibility and specified H ∞ performance index. By applying singular value decomposition method, the internal impulse-freeness and regularity of implicit impulsive filtering error system are realized. Novel sufficient conditions for stochastic admissibility and the realization of mode-dependent implicit impulsive filter are constructed in terms of linear matrix inequalities. Impulsive operator is successfully extended to R n × n , which overcomes the limitation of the one-dimensional impulsive operator and makes the theoretical proposed in this paper more generalizable. The OCCP is offered to illustrate the practicality of the presented approach.
- Subjects
MARKOVIAN jump linear systems; SINGULAR value decomposition; LINEAR matrix inequalities; HYBRID systems; STOCHASTIC systems; DECOMPOSITION method
- Publication
Nonlinear Dynamics, 2023, Vol 111, Issue 16, p15091
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-023-08612-6