Stability is an important indicator for evaluating complex dynamic systems’ performance. Many problems in practice are abstracted into the stability of networks. This study examines stochastic fuzzy Cohen-Grossberg neural networks(CGNNs) with delayed pth moment exponential and almost sure stability. It improvement supplement to existing work. Our method based on integral inequality, differentia...

In this paper, we investigate almost-sure and moment stabilization of continuous time jump linear systems with a finite-state Markov jump form process. We first clarify the concepts of -moment stabilizability, exponential -moment stabilizability, and stochastic -moment stabilizability. We then present results on the relationships among these concepts. Coupled Riccati equations that provide nece...

In this paper, we study the almost sure stability of continuous-time jump linear systems with a finite-state Markov form process. A sufficient condition for almost sure stability is derived that refers to the statistics of the transition matrix over m switches. It is shown that, if the system is exponentially almost sure stable, there exists a finite m such that the criterion is satisfied. In o...

Abstract. We study the almost sure convergence of the normalized columns in an infinite product of nonnegative matrices, and the almost sure rank one property of its limit points. Given a probability on the set of 2 × 2 nonnegative matrices, with finite support A = {A(0), . . . , A(s − 1)}, and assuming that at least one of the A(k) is not diagonal, the normalized columns of the product matrix ...