Perturbations of nonlinear systems

Passivity-Based Stability Analysis and Robust Practical Stabilization of Nonlinear Affine Systems with Non-vanishing Perturbations

This paper presents some analyses about the robust practical stability of a class of nonlinear affine systems in the presence of non-vanishing perturbations based on the passivity concept. The given analyses confirm the robust passivity property of the perturbed nonlinear systems in a certain region. Moreover, robust control laws are designed to guarantee the practical stability of the perturbe...

passivity-based stability analysis and robust practical stabilization of nonlinear affine systems with non-vanishing perturbations

this paper presents some analyses about the robust practical stability of a class of nonlinear affine systems in the presence of non-vanishing perturbations based on the passivity concept. the given analyses confirm the robust passivity property of the perturbed nonlinear systems in a certain region. moreover, robust control laws are designed to guarantee the practical stability of the perturbe...

Perturbations of Nonlinear Systems of Differential Equations , Ill

1. The effect of a perturbation on the solutions of a linear system of differential equations can be studied by means of the variation of constants formula. The nonlinear variation of constants formula of Alekseev [l] has been used to obtain various results on the effect of a perturbation on the solutions of a nonlinear system; see, for example [2], [3], [5]. In most of these results, the trivi...

Stability of neutral delay-differential systems with nonlinear perturbations

In this paper, the problem of the stability analysis for neutral delay-di€ erential systems with nonlinear perturbations is investigated. Using the L yapunov method, we present new su cient conditions for the stability, in terms of the linear matrix inequality (LMI), which can be easily solved by various convex optimization algorithms. Numerical examples are given to illustrate the application...

Stability of Nonlinear Systems under Constantly Acting Perturbations 273