Exponential stability for uncertain nonlinear time-delay system via memory-based saturated controller

Ping Qu, Shuiqing Ye, Hong Wang and Chao Ge

International Journal of Systems Science, 2025, vol. 56, issue 12, 2831-2842

Abstract: This paper establishes an exponential $ H_{\infty } $ H∞ stabilisation method for uncertain nonlinear system with time-varying delay and external disturbance via non-fragile memory-based saturated controller. Based on the construction of an augmented Lyapunov–Krasovskii functional (LKF) and distributed-delay polytopic method, some delay-dependent and delay-derivation-dependent criteria to ensure the exponential $ H_{\infty } $ H∞ stabilisation of the nonlinear system are derived in terms of linear matrix inequalities (LMIs). Then, the optimisation problems with reduced conservatism concerning the admissible initial condition set are specifically formulated. Subsequently, simulation results are presented to demonstrate the validity and practicality of the suggested method.

Date: 2025
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DOI: 10.1080/00207721.2025.2456656

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