Finite-time stabilization for a class of switched time-delay systems under asynchronous switching

Finite-timeH∞control for singular Markovian jump systems with partly unknown transition rates

“…; I r |fflfflfflffl ffl{zfflfflfflffl ffl} g and its transposition respectively. And using Schur complement Lemma, we can obtain that (26) and (27) imply that (8) and (9) hold. By (32), letting…”

“…Compared with the classical Lyapunov asymptotical stability, in order to deal with these transient performances of control dynamic systems, finite-time stability or short-time stability was introduced. Some appealing results were obtained to ensure finite-time stability, finite-time boundedness and finite-time stabilization of various systems including linear systems, nonlinear systems, and stochastic systems [24][25][26][27][28]. To the best of our knowledge, the problem of singular stochastic finite-time H 1 control for singular Markovian jump systems (SMJSs) with partly unknown transition rates has not been fully investigated, which motivates the main purpose of our study.…”

Asymptotic behavior of switched delay systems with nonlinear disturbances

“…Some necessary and sufficient conditions were also provided to ensure the asymptotic stability of switched linear systems under arbitrary switching laws [8]. For the switched delay system under restricted switching, the authors used the average dwell time approach to study the stability [3][4][5]10]. Another method commonly used to study the switched systems was based on Gronwall-type inequalities.…”

“…The theory of switched systems has historically assumed a position of great importance in systems theory due to their strong engineering backgrounds (e.g. [1,2]), and has been studied extensively in recent years [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17].…”

Finite-time boundedness and stabilization of discrete-time nonlinear quadratic systems

“…Two cases of FTS for discrete-time linear systems were discussed in [16] and [17], respectively. In [7], [8] and [18], the finitetime control problems of switched linear systems with or without time-delay were studied. Recently, the finite-time stabilization problems of nonlinear cascaded systems and nonlinear affine systems were examined in [19] and [20], respectively.…”