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1.
This paper investigates the problems of stability and synchronization for high-order recurrent neural networks with mixed delays. Firstly, we establish sufficient conditions to ensure the asymptotic stability and then the exponential synchronization. Furthermore, our results are applied to two chosen systems to demonstrate the effectiveness of the obtained theoretical results.  相似文献   

2.
In this paper, we shall consider systems of differential equations involving quadratic terms with constant deviating arguments. Stability of the systems is investigated by employing the second Lyapunov's method with a special rational function. This function provides convergence rate estimates as well as offers explicit sufficient conditions for the asymptotic stability of solutions.  相似文献   

3.
In this paper, we discuss impulsive high-order Hopfield type neural networks. Investigating their global asymptotic stability, by using Lyapunov function method, sufficient conditions that guarantee global asymptotic stability of networks are given. These criteria can be used to analyse the dynamics of biological neural systems or to design globally stable artificial neural networks. Two numerical examples are given to illustrate the effectiveness of the proposed method.  相似文献   

4.
灰色随机线性时滞系统的渐近稳定性   总被引:2,自引:0,他引:2  
首先提出了灰色随机线性时滞系统及其渐近稳定性的概念;然后,利用矩阵理论和随机微分时滞方程解的渐近收敛定理及李雅普诺夫函数,研究了灰色随机线性时滞系统的渐近稳定性,得到了随机淅近稳定的几个充分性条件;最后,通过数值例子说明了所得结果在实际应用中的方便性和有效性.  相似文献   

5.
6.
In this paper we study ergodic properties of hidden Markov models with a generalized observation structure. In particular sufficient conditions for the existence of a unique invariant measure for the pair filter-observation are given. Furthermore, necessary and sufficient conditions for the existence of a unique invariant measure of the triple state-observation-filter are provided in terms of asymptotic stability in probability of incorrectly initialized filters. We also study the asymptotic properties of the filter and of the state estimator based on the observations as well as on the knowledge of the initial state. Their connection with minimal and maximal invariant measures is also studied. Work partially supported by grants MIUR-PRIN 2001, PBZ KBN 016/P03/99 and IMPAN-BC Centre of Excellence  相似文献   

7.
Global asymptotic stability conditions for discrete vector nonlinear stochastic systems with state delay and Volterra diffusion term are obtained based on the convergence theorem for semimartingale inequalities, without assuming the Lipschitz conditions for nonlinear drift functions. The derived stability conditions are directly expressed in terms of the system coefficients. A number of nontrivial examples of nonlinear systems satisfying the obtained stability conditions are given. The obtained results are compared to some previously known asymptotic stability conditions for discrete nonlinear stochastic systems.  相似文献   

8.
Sliding mode control for polytopic differential inclusion systems   总被引:1,自引:0,他引:1  
The stabilization problem of polytopic differential inclusion (PDI) systems is investigated by using sliding mode control. Sliding surface is designed and sufficient conditions for asymptotic stability of sliding mode dynamics are derived. A novel feedback law is established to make the state of system reach the sliding surface in a finite time. Finally, an example is given to illustrate the validity of the proposed design.  相似文献   

9.
Analysis and design of impulsive control systems   总被引:3,自引:0,他引:3  
Some sufficient conditions for asymptotic stability of impulsive control systems with impulses at fixed times have recently been presented. In this paper, we derive some less conservative conditions for asymptotic stability of such impulsive control systems and the results are used to design impulsive control for a class of nonlinear systems. The class of nonlinear systems considered is also extended  相似文献   

10.
离散时延双神经元网络的渐近稳定性   总被引:2,自引:1,他引:2  
New sufficient conditions for the asymptotic stability of a two-neuron network with different time delays are derived. These conditions lead to delay-dependent and delay-independent asymptotic stability. Our results are shown to be less conservative and restrictive than those reported in the literature. Some examples are given to illustrate the correctness of our results.  相似文献   

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