Delay-dependent robust stabilization for uncertain discrete-time fuzzy Markovian jump systems with mode-dependent time delays

Non-fragile passive controller design for nonlinear Markovian jumping systems via observer-based controls

“…By using a standard fuzzy singleton inference method, i.e., a singleton fuzzifier to produce a fuzzy inference and weighted center-average defuzzifer [1][2][3][4][5][6][7][13][14][15]28], we can get the following fuzzy dynamical MJSs:…”

“…It becomes simple to use the conventional linear system theory for analysis because it can be represented by a set of linear sub-models connected by fuzzy IF-THEN rules. In the past three decades, T-S fuzzy systems have been intensively studied and many significant advances have been achieved; see [2][3][4][5][6][7]. In these results, time-delay and uncertain phenomena [6,7] are widely employed.…”

“…In the past three decades, T-S fuzzy systems have been intensively studied and many significant advances have been achieved; see [2][3][4][5][6][7]. In these results, time-delay and uncertain phenomena [6,7] are widely employed. It has been recognized that time-delays and parameter uncertainties are inherent features of many physical processes and often encountered in various practical systems, such as aircraft stabilization, robot systems, distributed networks, inferred grinding model, manual control, microwave oscillator, neural network and population dynamic model, etc.…”

H∞Filtering for Discrete Markov Jump Singular Systems with Mode-Dependent Time Delay Based on T-S Fuzzy Model

“…In practical applications, to research the nonlinear timedelay system, the scholars considered the T-S fuzzy timedelay model which is a kind of effective representation, and many analysis and synthesis methods for T-S fuzzy time-delay systems have been developed over the past years [8][9][10][11][12][13][14][15][16][17]. So, many scholars extended this model to Markov jump systems with time delays [18][19][20][21][22][23][24][25][26][27][28]. Reference [18] was concerned with an ∞ control for a class of T-S fuzzy Markov jump system under unreliable communication links.…”

“…According to the inequalities(23), and applying the Schur complement, it is obtained that if(19) holds, then(21) holds. The proof is completed.…”