H∞ control for descriptor systems: a matrix inequalities approach
Automatica (Journal of IFAC)
Singular Control Systems
Robust filtering for jumping systems with mode-dependent delays
Signal Processing
Brief paper: Robust filtering for uncertain linear discrete-time descriptor systems
Automatica (Journal of IFAC)
H∞ filtering for discrete-time systems with time-varying delay
Signal Processing
Automatica (Journal of IFAC)
Robust H∞ filter design of uncertain descriptor systems with discrete and distributed delays
IEEE Transactions on Signal Processing
Time-delay systems: an overview of some recent advances and open problems
Automatica (Journal of IFAC)
Improved robust H2 and H∞ filtering for uncertain discrete-time systems
Automatica (Journal of IFAC)
Brief On robust stabilization of Markovian jump systems with uncertain switching probabilities
Automatica (Journal of IFAC)
Controller design for Markov jumping systems subject to actuator saturation
Automatica (Journal of IFAC)
Finite-time filtering for discrete-time linear impulsive systems
Signal Processing
Mixed H∞ and passive filtering for singular systems with time delays
Signal Processing
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This paper is concerned with the H"~ filtering design for a class of discrete-time singular Markovian jump systems with time-varying delay and partially unknown transition probabilities. The class of systems under consideration is more general and covers the singular Markovian delay systems with completely known and completely unknown transition probabilities as two special cases. A mode-dependent filter is constructed and by defining an appropriate stochastic Lyapunov functional combined with using the discrete Jensen inequality, a delay-dependent bounded real lemma (BRL) for the considered systems is established in terms of linear matrix inequalities (LMIs). Based on this, a sufficient condition on the existence of the desired filter which guarantees the admissibility and the H"~ performance of the corresponding filtering error system is presented by employing the LMIs technique. Some numerical examples are provided to illustrate the effectiveness of the developed theoretical results.