Mean square stability of continuous-time delay-difference systems with Markovian switching

Qianqian Zhang, Shenxi Xu and Zhao-Yan Li

International Journal of Systems Science, 2025, vol. 56, issue 14, 3464-3480

Abstract: In this paper, the stability analysis problem of continuous-time delay-difference systems with Markovian switching is studied. Firstly, a condition based on linear matrix inequalities (LMIs) for the transformation of mean square $ L_2 $ L2-exponential stability into mean square exponential stability and a Lyapunov-Krasovskii functional (LKF) stability theorem to test the mean square $ L_2 $ L2-exponential stability with a guaranteed convergence rate are established. Then, for a class of particular systems with both point delays and distributed delays having exponential integral kernels, less conservative stability conditions based on LMIs are established by constructing a mode-dependent LKF. Finally, some numerical examples are worked out to illustrate the effectiveness and superiority of the theoretical results.

Date: 2025
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DOI: 10.1080/00207721.2025.2469820

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