Lagrange Stability of a Class of Nonlinear Discrete-time Systems

In this paper, a new method for robust Lagrange stability analysis of a class of nonlinear discrete-time systems is proposed. Both the linear part structured and unstructured uncertainties are considered in a unified way. Sufficient, conditions for robust Lagrange stability are established in terms of linear matrix inequalities (LMIs). With this LMI approach, the largest allowable magnitude of the admissible perturbation was given explicitly by solving a, generalized eigenvalue minimization problem which is essentially a convex optimization problem and numerically efficient, illustrative example confirmed the efficiency and accuracy of the proposed approach