Robust Exponential Stabilization for a Class of Nonlinear Uncertain Systems with Time-varying Delays

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Abstract: This paper is concerned with the problem of robust exponential stabilization for a class of nonlinear uncertain systems with time-varying delays. By using appropriately chosen Lyapunov-Krasovskii functional, together with the Finsler’s lemma, sufficient conditions for exponential stability of nonlinear uncertain systems with time-varying delays are proposed in terms of linear matrix inequality (LMI). Then, novel sufficient conditions are developed to ensure the nonlinear uncertain system with time-varying delay is robust exponentially stabilizable in terms of linear matrix inequality with state feedback control. Finally, a numerical example is given to illustrate the efficiency of proposed methods.

WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 20, 2021, Art. #35

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Meng Liu, Yali Dong, Xinyue Tang, "Robust Exponential Stabilization for a Class of Nonlinear Uncertain Systems with Time-varying Delays," WSEAS Transactions on Systems, vol. 20, pp. 312-319, 2021, DOI:10.37394/23202.2021.20.35
Meng Liu, Yali Dong, Xinyue Tang. Robust Exponential Stabilization for a Class of Nonlinear Uncertain Systems with Time-varying Delays. WSEAS Transactions on Systems. 2021;20:312-319. 10.37394/23202.2021.20.35
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