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A linear parameter varying approach for designing a constant output feedback controller for a linear time-invariant retarded system with stochastic multiplicative Wiener-type noise, that achieves a minimum bound on the H∞ performance level is introduced. The stochastic uncertainties appear in the dynamic matrices, which correspond to the delayed and non-delayed states of the system, and in the measurement...
The problem of infinite-horizon H∞ state-feedback tracking for linear continuous time-invariant retarded systems with stochastic parameter uncertainties is investigated. We consider the case where the reference signal is previewed in a fixed time-interval ahead. The stochastic uncertainties appear in the dynamics matrices for both the retarded and the non retarded states of the system. The delayed...
This paper studies the design problem of robust H∞ filter for neutral stochastic uncertain delay systems. Aiming at neutral stochastic delay systems with polytopic uncertainty, we deduce sufficient conditions of the existence of H∞ filter, and express them into a form of the linear matrix inequality (LMI), then utilize schur complement lemma transformed them into LMIs which can be solved. At last...
Delay-dependent robust stochastic stabilization and Hinfin control problems for a class of networked control systems (NCSs) with data packet dropout and delays are investigated. Based on Lyapunov stability theory combined with linear matrix inequalities (LMIs) techniques, some new delay-dependent criteria in terms of LMIs are derived by introducing some free weighting matrices which can be chosen...
This paper investigates the problem of robust stochastic exponential control for a class of uncertain Ito-type stochastic Lurie systems with time delays. Based on Lyapunov-Krasovskii approach, a sufficient condition for the existence of a linear memoryless state feedback controller is formulated in terms of a linear matrix inequality (LMI). For all admissible parametric uncertainties, the desired...
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