L2-L∞control of nonlinear fuzzy itô stochastic delay systems via dynamic output feedback
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Fuzzy filter design for itô stochastic systems with application to sensor fault detection
IEEE Transactions on Fuzzy Systems
Brief paper: Positivity-preserving H∞ model reduction for positive systems
Automatica (Journal of IFAC)
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This paper investigates the problems of $H_{\infty}$ model reduction for both continuous and discrete stochastic systems. In terms of certain linear matrix inequalities (LMIs) and a coupling nonconvex rank constraint, necessary and sufficient conditions for the existence of solutions to such problems are obtained. An explicit parametrization of all reduced-order models corresponding to a feasible solution is also proposed. In particular, when a zeroth-order $H_{\infty}$ approximation is desired, conditions are obtained using LMIs only without any rank constraints, and a parametrization of all solutions is also presented. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed approach.