Stability of homogeneous systems with distributed delay and time-varying perturbations

卷:153

Article

关键词: TO-STATE STABILITY;    FINITE-TIME;   

DOI  :  10.1016/j.automatica.2023.111058

来源: SCIE

【 摘 要 】

For a class of nonlinear systems with homogeneous right-hand sides of non-zero degree and dis-tributed delays, the problem of stability robustness of the zero solution with respect to time-varying perturbations multiplied by a nonlinear functional gain is studied. It is assumed that the disturbance -free and delay-free system (that results after substitution of non-delayed state for the delayed one) is globally asymptotically stable. First, it is demonstrated that in the disturbance-free case the zero solution is either locally asymptotically stable or practically globally asymptotically stable, depending on the homogeneity degree of the delay-free counterpart. Second, using averaging tools several variants of the time-varying perturbations are considered and the respective conditions are derived evaluating the stability margins in the system. The results are obtained by a careful choice and comparison of Lyapunov-Krasovskii and Lyapunov-Razumikhin approaches. Finally, the obtained theoretical findings are illustrated on two mechanical systems.(c) 2023 Elsevier Ltd. All rights reserved.

【 授权许可】

Free