Abstract
In this paper, we deal with delay-independent and delay-dependent H ? filtering problems for a class of two-dimensional (2-D) discrete time-invariant systems with state delays. The 2-D systems are described by local state-space (LSS) Fornasini---Marchesini (FM) second model. First, delay-dependent bounded real lemma is proposed through introducing free weighting matrices. Then the delay-independent and delay-dependent H ? filtering designs are developed to assure the stability and H ? performance ? of filtering error systems via LMIs' feasibility. Furthermore, the minimum H ? norm bound ? can be obtained by solving linear convex optimization problems. Numerical examples demonstrate the effectiveness and advantages of our results.
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