On robust stabilization of Markovian jump systems with uncertain switching probabilities

Observer-basedH ∞ control on nonhomogeneous Markov jump systems with nonlinear input

“…It is a fact that transition probability plays an important role in the performance of such systems, under the assumption that the transition probabilities of MJSs are time invariant, some problems have been studied, such as system analysis [2,3], stochastic stability and stabilization [4], control [5][6][7][8][9][10][11][12], fault detection and filtering [13][14][15][16][17], fault tolerant and estimation [18,19] etc. Some work has also been done on systems with partially known or uncertain transition probability (see, e.g., [20][21][22][23][24] and the references therein). However, in many practical systems, the transition probability is not a constant matrix, but a time-varying and time-depended matrix.…”

Non-fragile sampled data H∞ filtering of general continuous Markov jump linear

“…During the past decades, many issues on MJLSs such as stability and stabilization, H ∞ control and filtering, optimal tracking, have been well investigated [6,8,9,14,16] and the references therein.…”

Stability Analysis of Markovian Jump Systems with Multiple Delay Components and Polytopic Uncertainties

“…Two types of uncertainties, norm bounded uncertainties and polytopic ones, are commonly used [6]. For jump systems with norm bounded uncertainties, the stability and stabilization [5,21,35,41], H ∞ control [15], and robustness H ∞ filtering [36] have been addressed. The robust stability and H ∞ control of Markovian jump systems with constant delay and polytopic uncertainties is studied in [4].…”