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Further Study on Stability Analysis for Markov Linear Parameter-Varying Systems
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DOI：10.1109/TAC.2025.3580046.png)
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Abstract
En 中文
This article addresses the problem of stability analysis for a class of Markov jump systems with time-varying parameters. Unlike previous studies that assumed a bounded rate of parameter variation, this research allows for an arbitrary parameter variation rate. In addition, a new parameter-dependent homogeneous polynomial Lyapunov function is designed, which depends on both the Markov process and time-varying parameters simultaneously. The switching approach is employed to deal with the derivatives of time-varying parameters, while the average dwell time approach is utilized to handle the switching signal. Thus, a less conservative stability criterion is obtained to ensure the exponentially mean-square stability of the system. Three examples are provided to verify the effectiveness of the obtained results.
Keywords:
Average dwell time (ADT)
linear parameter-varying (LPV) system
Markov jump systems (MJSs)
parameter-dependent homogeneous polynomial lyapunov function
Journal
IF:
7
Papers:
1.3W
Citations:
6.7W