In this paper, the global exponential stability and global asymptotic stability for a class of interval delayed neural networks (IDNNs) with multiple time-varying delays are considered. Delay-dependent and delay-independent criteria are proposed to guarantee the robust stability of IDNNs via linear matrix inequality (LMI) approach. Some numerical examples are illustrated to show the effectivene...

Global almost sure asymptotic stability of solutions of some nonlinear stochastic difference equations with cubic-type main part in their drift and diffusive part driven by square-integrable martingale differences is proven under appropriate conditions in R1. As an application of this result, the asymptotic stability of stochastic numerical methods, such as partially drift-implicit θ-methods wi...

This paper proposes a practical stability analysis of a particular class of continuous PI-like fuzzy control systems based on the convergence of regular vector norms. This approach is based on the comparison, the overvaluing principle and the application of Borne and Gentina criterion. The stability conditions issued from vector norms correspond to a vector Lyapunov function. A comparison syste...

In recent years the main focus of research in the area of robust stability of systems was on linear systems. In this paper the question of robust stability for nonlinear systems is adressed. We are mainly interested in global asymptotic stability and the main tools to solve these problems are methods based on Lyapunov functions. Using an appropriate Lyapunov function and an exact linearization ...

In this paper, we develop a new output feedback, variable structure-like (discontinuous) tracking controller for a class of uncertain, nonlinear, multiinput multi-output, mechanical systems whose dynamics are Þrst-order differentiable. A novel Þlter design and Lyapunov-type stability analysis are used to prove semi-global asymptotic tracking. As a by-product of the proposed framework, we also p...

This paper investigates the asymptotic stability of switched linear time-varying systems with constant point delays under not very stringent conditions on the matrix functions of parameters. Such conditions are their boundedness, the existence of bounded time derivatives almost everywhere, and small amplitudes of the appearing Dirac impulses where such derivatives do not exist. It is also assum...

This paper studies the asymptotic behavior of several continuous-time dynamical systems which are analogs of ant colony optimization algorithms that solve shortest path problems. Local asymptotic stability of the equilibrium corresponding to the shortest path is shown under mild assumptions. A complete study is given for a recently proposed model called EigenAnt: global asymptotic stability is ...

This paper deals with homogeneous cooperative sys-terns, a class of positive systems. It is shown that they admit a fairly simple asymptotic behavior, thereby generalizing the well-known Perron-Frobenius theorem from linear to homogeneous systems. As a corollary a simple criterion for global asymptotic stability is established. Then these systems are subject to constant inputs and we prove that...