Mean Square Exponential Stability of Semi-Linear Stochastic Perturbed Differential Equation Via Lyapunov Function Approachdoi:10.24996/ijs.2023.64.11.26EXPONENTIAL stabilityLYAPUNOV functionsSTOCHASTIC systemsBROWNIAN motionSTOCHASTIC processesIn this work, a class of stochastically perturbed diffe...
condition for the exponential stability in mean-square of the mixed time-delay system with polytopic uncertainties is derived by using a Lyapunov-Krasovskii candidate function built based on the concept of quadratic stability.The numerical example shows that the proposed method is feasible and effective...
3) asymptotically stable 渐近稳定 1. Then,the Lyapunov function,linear matrix inequality(LMI) methods were used to derive a sufficient condition,which could ensure that the NCS was asymptotically stable. 然后采用李亚普诺夫函数、线性矩阵不等式的方法推导出了该网络化控制系统渐近稳定的充分条件。 2....
it is shown that the dwell time preserving the specification can be calculated through linear matrix inequalities (LMIs) and line search, being thus numerically solvable in polynomial time, and this allows the treatment of stable switched linear systems which do not admit a common Lyapunov function...
, it is shown that the dwell time preserving the specification can be calculated throughlinear matrix inequalities (LMIs) and line search, being thus numerically solvable in polynomial time, andthis allows the treatment of stable switched linear systems which do not admit a common Lyapunovfunction....
In this paper, we first consider the iteration index as a continuous variable and, by introducing a Lyapunov function, show that the equilibrium points are asymptotically stable. We also show that the proposed function can be considered as a Lyapunov function for the discrete case with the ...
Next, Lyapunov function, stochastic analysis theory and Young inequality approach is developed to derive some theorems which gives several sufficient conditions such that periodic solutions of SDCNNs are mean square exponential stable. These sufficient conditions only including those governing parameters of ...
Next, Lyapunov function, stochastic analysis theory and Young inequality approach is developed to derive some theorems which gives several sufficient conditions such that periodic solutions of SDCNNs are mean square exponential stable. These sufficient conditions only including those governing parameters of ...
functionStochasticperturbationIn this paper, we give the definition of mean square function synchronization. Secondly, we investigate mean square function synchronization of chaotic systems with stochastic perturbation and unknown parameters. Based on the Lyapunov stability theory, inequality techniques, and ...
The aim of this work is to prove a Lyapunov criterion for exponential mean square stability of nonautonomous nonlinear stochastic evolution equations.FlorchingerP.Decision and Control, 1997., Proceedings of the 36th IEEE Conference on