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 ...
Observing a Linear Process over Analog Erasure Channels using Multiple Sensors:Necessary and Suf,cient Conditions for Mean-square Stability Vij ay Gupta,Nuno C.Martins and John S.Baras Abstract—Consider a discrete-time linear time-invariant process being observed by two sensors,which are connected ...
That is, if the potential is a Lyapunov function for a dynamical system on the space of population distributions, then one can deduce that through such dynamics the population will converge to a rest point; if the dynamics are such that rest points are all Nash equilibria, then we know ...
Motivated by the above discussion, in this paper we investigate the problem of mean square exponential stability for a class of stochastic fuzzy delayed Cohen–Grossberg neural networks with expectations in the coefficients. By employing the Lyapunov–Krasovskii functional, the Itô formula and stochast...
1.So far there are few results on theexponential stability in mean squarefor impulsive stochastic difference equations with continuous time.研究了连续变量型随机脉冲差分方程的均方指数稳定性,可以弥补此问题的空白。 2.Based on parameterized neutral model transformation and Lyapunov-krasovskii functional approa...
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 wasasymptotically 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。
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 ...
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 differ...
By resorting to Lyapunov function approach and stochastic analysis, a sufficient condition has been obtained under which the underlying hysteretic Hopfield neural network is exponentially stable in the mean square. The obtained condition is expressed in terms of linear matrix inequalities (LMIs) which ...
An exponential mean square stability for the invariant manifold $mathcal{M}$ of a nonlinear stochastic system is considered. The stability analysis is based on the $mathcal{M}$-quadratic Lyapunov function technique. The local dynamics of the nonlinear system near manifold is described by the ...