Delay-dependent Stability Criteria for Markovian Switching Networks with Time-varying Delay

Optimal Guaranteed Cost Control of Stochastic Discrete-Time Systems with States and Input Dependent Noise Under Markovian Switching

“…The Markov jump linear systems (MJLSs) are dynamical systems subject to abrupt variations in their structures. It is known that the MJLS is ideal to represent dynamical systems that are often inherently vulnerable to component failures, sudden disturbances, change of internal interconnections, and abrupt variations in operating conditions ( [1][2][3][4][5][6][7][8][9][10][11], and references therein). On the other hand, discrete-time stochastic processes is found in wide variety of applications, particularly in modeling of engineering, biological, medical and physical systems which are subject to random perturbations [12,13].…”

“…The feedback stability and stabilizability of discrete-time Markov jump linear systems have been studied in two categories: systems with delay and systems without delay. For systems with delay, the readers should refer to ( [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]) and for systems without delay see [21][22][23][24] and references therein.…”

Delay-Dependent Criteria for Robust Stabilization of Markovian Switching Networks with Time-Varying Delay

“…The MJLS are dynamical systems subject to abrupt variations in their structures. Since MJLS is natural to represent dynamical systems that are often inherently vulnerable to component failures, sudden disturbances, change of internal interconnections, and abrupt variations in operating conditions, they are an important class of stochastic dynamical systems [3][4][5][6][7][8][9][10][11][12][13] and the references therein.…”