H" Model Reduction of 2-D Singular Roesser Models
Multidimensional Systems and Signal Processing
Robust filtering for jumping systems with mode-dependent delays
Signal Processing
Information Sciences: an International Journal
Information Sciences: an International Journal
Filtering for uncertain 2-D discrete systems with state delays
Signal Processing
Brief paper: H∞ filtering for 2D Markovian jump systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Information Sciences: an International Journal
Worst case control of uncertain jumping systems with multi-state and input delay information
Information Sciences: an International Journal
IEEE Transactions on Fuzzy Systems
l2-l∞ filter design for discrete-time singular Markovian jump systems with time-varying delays
Information Sciences: an International Journal
Information Sciences: an International Journal
Robust mixed ℋ2/ℋ∞ filteringof 2-D systems
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Brief H∞ control and robust stabilization of two-dimensional systems in Roesser models
Automatica (Journal of IFAC)
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This paper is concerned with the problem of H"~ filtering for a class of two-dimensional Markovian jump linear systems described by the Fornasini-Marchesini local state-space model. The systems under consideration are subject to state-delays and deficient mode information in the Markov chain. The description of deficient mode information is comprehensive that simultaneously includes the exactly known, partially unknown and uncertain transition probabilities. By invoking the properties of the transition probability matrix, together with the convexification of uncertain domains, a new H"~ performance analysis criterion for the filtering error system is firstly derived. Then, via some matrix inequality linearisation procedures, two approaches for the filter synthesis are proposed. It is shown that both the full-order and reduced-order filters can be constructed by solving a set of linear matrix inequalities. Finally, simulation studies are provided to illustrate the effectiveness of the proposed design methods.