h-STABILITY FOR NONLINEAR PERTURBED DIFFERENCE SYSTEMS

Stability of nonlinear h-difference systems with n fractional orders

Construction of strict Lyapunov function for nonlinear parameterised perturbed systems

In this paper, global uniform exponential stability of perturbed dynamical systems is studied by using Lyapunov techniques. The system presents a perturbation term which is bounded by an integrable function with the assumption that the nominal system is globally uniformly exponentially stable. Some examples in dimensional two are given to illustrate the applicability of the main results.

Stochastic Stability of Singularly Perturbed Nonlinear Systems

The stability of a nonlinear stochastic dynamic system with singular perturbations is considered. Based on the notion of stochastic input-to-state stability and using time scale decomposition, a result of the total stability type is obtained, i.e. if the fast subsystem and the slow subsystem are both input-to-state stable with respect to disturbances, then this property continues to hold for th...

H ∞ Filtering for Discrete - time Nonlinear Singularly - Perturbed Systems

In this paper, we consider the H∞ filtering problem for discrete-time singularly-perturbed (two time-scale) nonlinear systems. Two types of filters, namely, (i) decomposition; and (ii) aggregate, are discussed, and sufficient conditions for the approximate solvability of the problem in terms of discrete-time Hamilton–Jacobi– Isaacs equations (DHJIEs) are presented. In addition, for each type of...

H∞ Fuzzy Filter for Nonlinear Singularly Perturbed Systems

This paper addresses the problem of designing an H∞ filter for a class of nonlinear singularly perturbed systems described by a Takagi-Sugeno (TS) fuzzy model. Based on a linear matrix inequality (LMI) approach, we develop a fuzzy H∞ filter that guarantees the L2-gain from an exogenous input to a filter error to be less than or equal to a prescribed value. In order to alleviate the ill-conditio...