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Petersen, I.R. and Hollot, C.V. (1986) A Riccati Equation Approach to the Stabilization of Uncertain Linear Systems, Automatica, 22, 397-441.
https://doi.org/10.1016/0005-1098(86)90045-2

has been cited by the following article:

• TITLE: Event-Triggered Finite-Time H∞ Control for Switched Stochastic Systems

  AUTHORS: Aiqing Zhang

  KEYWORDS: Average Dwell Time, Event-Triggering Scheme, Finite-Time Stochastic Stability (FTSS), Linear Matrix Inequalities (LMIS), Switched Stochastic Systems

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.10, October 20, 2020

  ABSTRACT: This paper investigates the problem of event-triggered finite-time H∞ control for a class of switched stochastic systems. The main objective of this study is to design an event-triggered state feedback H∞ controller such that the resulting closed-loop system is finite-time bounded and satisfies a prescribed H∞ level in some given finite-time interval. Based on stochastic differential equations theory and average dwell time approach, sufficient conditions are derived to ensure the finite-time stochastic stability with the prescribed H∞ performance for the relevant closed-loop system by employing the linear matrix inequality technique. Finally, the desired state feedback H∞ controller gain matrices can be expressed in an explicit form.