Event-triggered non-synchronous stabilization for Markov jump systems

Tianze Chai; Tianze Chai

doi:10.3934/nhm.2026054

Networks and Heterogeneous Media

2026, Volume 21, Issue 4: 1426-1449. doi: 10.3934/nhm.2026054

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Research article

Event-triggered non-synchronous stabilization for Markov jump systems

Tianze Chai ^,

School of Computer Science and Technology, Anhui University of Technology, Ma'anshan 243032, China

Received: 04 May 2026 Revised: 25 June 2026 Accepted: 30 June 2026 Published: 06 July 2026

The event-triggered non-synchronous stabilization problem for Markov jump systems was investigated via state-feedback control. The possible mismatch between the plant and controller modes was modeled by a hidden Markov model. Both memoryless and memory-based switched event-triggered mechanisms were proposed to reduce the frequency of controller updates. Two sufficient conditions were established to guarantee the stochastic stability of the closed-loop system by employing Lyapunov–Krasovskii functionals, free-weighting matrices, and stochastic analysis. Computationally tractable schemes were then developed to obtain the state-feedback controller gains via congruence transformations. A numerical example is presented to illustrate the efficiency of the switched event-triggered non-synchronous state-feedback control schemes.
- Markov jump system,
- switched event-triggered mechanism,
- stochastic stability,
- non-synchronous control,
- state-feedback control
Citation: Tianze Chai. Event-triggered non-synchronous stabilization for Markov jump systems[J]. Networks and Heterogeneous Media, 2026, 21(4): 1426-1449. doi: 10.3934/nhm.2026054

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Abstract

The event-triggered non-synchronous stabilization problem for Markov jump systems was investigated via state-feedback control. The possible mismatch between the plant and controller modes was modeled by a hidden Markov model. Both memoryless and memory-based switched event-triggered mechanisms were proposed to reduce the frequency of controller updates. Two sufficient conditions were established to guarantee the stochastic stability of the closed-loop system by employing Lyapunov–Krasovskii functionals, free-weighting matrices, and stochastic analysis. Computationally tractable schemes were then developed to obtain the state-feedback controller gains via congruence transformations. A numerical example is presented to illustrate the efficiency of the switched event-triggered non-synchronous state-feedback control schemes.

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