Robust H_∞ control of uncertain stochastic Markovian jump systems with mixed time-varying delays

Stability of stochastic impulsive reaction–diffusion neural networks with S-type distributed delays and its application to image encryption

“…On the other hand, the time delay often occurs in the electronic implementation of analog networks because of the finite speed of signal transmission and amplifier switching. Hence, discrete time delays or distributed time delays are included into neural networks [5,20,25,44,46]. In [31], an S-type distributed delay in terms of Lebesgue-Stieltjes integration, which includes both of the above delays, was incorporated over an infinitely long duration and had better description of hysteresis phenomenon in networks.…”

Observer‐based H∞ control for Markovian jump systems with time‐varying delays and incomplete transition rates

“…Recently, the problems of the stability analysis and controller design for MJSs have became the hot issues, such as robust H ∞ control with saturating actuator, stability analysis with singular MJSs, and H ∞ filters design . On the hypothesis of completely known transition rates, some new results on H ∞ control, sliding mode control, stability, stabilization, and passivity have been reported in other works . On the other hand, in many engineering systems, it is difficult to measure or estimate all transition rates.…”

“…7,8 On the hypothesis of completely known transition rates, some new results on H ∞ control, sliding mode control, stability, stabilization, and passivity have been reported in other works. [9][10][11][12][13] On the other hand, in many engineering systems, it is difficult to measure or estimate all transition rates. To reduce the gap between theory and practical applications, some results with incomplete transition rates were stated in other works.…”

Stability criteria on delay-dependent robust stability for uncertain neutral stochastic nonlinear systems with time-delay

“…Both the robust stability analysis and non-fragile robust control for a class of uncertain stochastic nonlinear time-delay systems that satisfy a one-sided Lipschitz condition were investigated in [17]. Based on the stochastic Lyapunov–Krasovskii stability approach, the problem of stochastic stability analysis was investigated for control of uncertain stochastic Markovian jump systems (SMJSs) with mixed time-varying delays [18]; meanwhile, some delay-dependent sufficient conditions on the stochastic stability and γ -disturbance attenuation were presented.…”