This paper investigates the robust stochastic stability and H∞ analysis for stochastic systems with time-varying delay and Markovian jump. By using the freeweighting matrix technique, i.e., He's technique, and a stochastic Lyapunov-Krasovskii functional, new delay-dependent criteria in terms of linear matrix inequalities are derived for the the robust stochastic stability and the H∞ disturbance attenuation. Three numerical examples are given. The results show that the proposed method is efficient and much less conservative than the existing results in the literature.
在这份报纸，我们在它的答案的全球存在上获得一些结果吗？在 M 的随机的冲动的微分方程([0，) ，？n ) 哪个表示家庭？n 珍视随机的过程 x 令人满意啜 t [0，)$\mathbb { E }$\mathbb { E }| x (t)| 2 < 在 non-Lipschitz 系数下面。Schaefer 修理了点定理被采用完成需要的结果。一个例子被提供说明获得的结果。
This paper investigates robust filter design for linear discrete-time impulsive systems with uncertainty under H∞ performance. First, an impulsive linear filter and a robust H∞ filtering problem are introduced for a discrete-time impulsive systems. Then, a suffcient condition of asymptotical stability and H∞ performance for the filtering error systems are provided by the discrete-time Lyapunov function method. The filter gains can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, a numerical example is presented to show effectiveness of the obtained result.
