State and output feedback's finite-time guaranteed cost H∞ control for uncertain nonlinear stochastic systems with time-varying delays

The problems of guaranteed cost control and H & INFIN; control are studied in this paper for nonlinear uncertain Ito's stochastic systems with time-varying delays in finite-time. It is assumed that the non-linear function in the systems satisfies the quasi-one-sided Lipschitz nonlinear constraint condition, which is weaker and less conservative than the one-sided Lipschitz condition. Some novel sufficient conditions for the existence of guaranteed cost control strategies are derived by using the Gronwall's inequality, Dynkin's formula, and Lyapunov-Krasovskii functional. The state and output feedback's controllers based on event-triggered control guarantee that the closed-loop system is finite-time stochas-tically bounded and the given quadratic cost function has an upper bound. Finally, the effectiveness of the suggested method is illustrated by numerical simulation.& COPY; 2023 The Franklin Institute. Published by Elsevier Inc. All rights reserved.