Delay-Dependent Robust Stabilization and H ∞ Control for Nonlinear Stochastic Systems with Markovian Jump Parameters and Interval Time-Varying Delays

Finite-timeH∞control for stochastic time-delayed Markovian switching systems with partly known transition rates and nonlinearity

“…As a class of hybrid systems, Markovian switching systems have been a heated topic for the past few decades (Balasubramaniam & Revathi, 2014;Boukas, 2005;De Farias & Geromel, 2000;Mao, 1999;Senthilkumar & Balasubramaniam, 2011;Yao, Wu, Zheng, and Wang, 2011). Many control systems subject to some random abrupt variations can be described by Markovian switching systems, such as economic systems, networked control systems and fault-tolerant systems.…”

Robust control for T–S fuzzy systems with probabilistic interval time varying delay

“…When w(t) = 0, substituting (19)-(24) into (18), and taking mathematical expectation on both sides of (18), we get…”

“…For such a case, if there is a time-varying perturbation on the nonzero delay, it is meaningful to investigate the problems of the stability analysis and controller design of the systems with interval time-varying delay [16]. Recently, based on the Lyapunov-Krasovskii functional method and LMI technique, delay-dependent state feedback stabilization results are presented for T-S fuzzy systems with interval time-varying delay, see, e.g., [12,13], the H ∞ control problem has been studied in [16][17][18][19][20][21], and the references therein. It should be noted that the previous results are directly related to the upper bound of the time-varying delay and/or the additional information on the derivative of the time-varying delay.…”

H∞ Control for Markov Jump Systems with Nonlinear Noise Intensity Function and Uncertain Transition Rates

“…The existence of nonlinearity may lead to undesirable behavior of the systems. Therefore, MJSs with nonlinearity also attract researcher's attention; see [13][14][15] and references therein.…”