Robust filtering for jumping systems with mode-dependent delays
Signal Processing
Information Sciences: an International Journal
Technical communique: Stability and robust stability for systems with a time-varying delay
Automatica (Journal of IFAC)
Brief paper: A new approach to quantized feedback control systems
Automatica (Journal of IFAC)
Worst case control of uncertain jumping systems with multi-state and input delay information
Information Sciences: an International Journal
Robust stabilization of Markovian delay systems with delay-dependent exponential estimates
Automatica (Journal of IFAC)
Technical communique: Robust sampled-data control for Markovian jump linear systems
Automatica (Journal of IFAC)
Stability and L2-gain analysis for switched delay systems: A delay-dependent method
Automatica (Journal of IFAC)
Robust observers for neutral jumping systems with uncertain information
Information Sciences: an International Journal
Stability Analysis for Linear Switched Systems With Time-Varying Delay
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Brief On robust stabilization of Markovian jump systems with uncertain switching probabilities
Automatica (Journal of IFAC)
Delay-dependent stabilization of linear systems with time-varying state and input delays
Automatica (Journal of IFAC)
Technical communique: Robust stabilization of uncertain systems with unknown input delay
Automatica (Journal of IFAC)
Delayed feedback control of uncertain systems with time-varying input delay
Automatica (Journal of IFAC)
Robust switching-type H∞ filter design for linear uncertain systems with time-varying delay
Information Sciences: an International Journal
l2-l∞ filter design for discrete-time singular Markovian jump systems with time-varying delays
Information Sciences: an International Journal
Computers & Mathematics with Applications
H∞ filtering for networked systems with partly known distribution transmission delays
Information Sciences: an International Journal
Robust sampled-data stabilization of uncertain fuzzy systems via input delay approach
Information Sciences: an International Journal
Information Sciences: an International Journal
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This paper focuses on the problem of delay-dependent robust stochastic stability analysis and controller synthesis for Markovian jump systems with state and input delays. It is assumed that the delays are constant and unknown, but their upper bounds are known. By constructing a new Lyapunov-Krasovskii functional and introducing some appropriate slack matrices, new delay-dependent stochastic stability and stabilization conditions are proposed by means of linear matrix inequalities (LMIs). An important feature of the results proposed here is that all the robust stability and stabilization conditions are dependent on the upper bound of the delays. Memoryless state feedback controllers are designed such that the closed-loop system is robustly stochastically stable. Some numerical examples are provided to illustrate the effectiveness of the proposed method.