Non-fragile guaranteed cost control for uncertain stochastic nonlinear time-delay systems

Stability analysis of a class of stochastic differential delay equations with nonlinear impulsive effects

“…Thus, stochastic differential equations, appear as a natural description of several observed phenomena of real world. In recent years, the stability and control theory investigation of stochastic impulsive differential equations has received an increasing interest (see [11][12][13] and references therein), and similar to stochastic delay differential equations (see [14][15][16][17][18][19][20][21] and references therein). However, as far as we know, there are few results about the stability of stochastic differential delay equations with impulsive effects (see [22][23][24][25][26][27] and references therein).…”

Finite-time stochastic input-to-state stability of switched stochastic nonlinear systems

“…On the other hand, there are many concerns on stochastic systems for the study on stability, controller design, filtering, etc. ( [15], [17], [18], [29], etc). But, for the finite-time ISS of stochastic systems, it has not been studied.…”

Observer-based Guaranteed Cost Control for a Class of Singular Time-delay Systems with Uncertainties

“…In [3][4], guaranteed cost control for uncertain systems are discussed. In [5][6], observer-based guaranteed cost control for singular time-delay systems with uncertainties are discussed, but the state matrices and the control input matrices are consistent with the original system.…”