Robust \(H_{\infty}\) control for linear stochastic partial differential systems with time delay
Summary: This paper investigates the problems of robust stochastic mean square exponential stabilization and robust \(H_{\infty}\) for stochastic partial differential time delay systems. Sufficient conditions for the existence of state feedback controllers are proposed, which ensure mean square exponential stability of the resulting closed-loop system and reduce the effect of the disturbance input on the controlled output to a prescribed level of \(H_{\infty}\) performance. A linear matrix inequality approach is employed to design the desired state feedback controllers. An illustrative example is provided to show the usefulness of the proposed technique.
scientific article; zbMATH DE number 7016559
scientific article