Stability of nonlinear systems under constantly acting perturbations

Stability of Nonlinear Systems under Constantly Acting Perturbations 273

Stability Properties of Differential Systems under Constantly Acting Perturbations

In this article, we find stability criteria for perturbed differential systems, in terms of two measures. Our main tool is a definition of total stability based on two classes of perturbations.

Stability of time-varying nonlinear switching systems under perturbations

Recently, switched systems have been found in many practical applications such as in communication network dynamics, robot manipulators, traffic management, etc. In this paper, we study the stability of time-varying linear switched systems under perturbations that satisfy linear growth condition, which is not available in current literature. By introducing a new Liao-type exponent for time-vary...

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...

On stability of discrete-time systems under nonlinear time-varying perturbations

We give some explicit stability bounds for discrete-time systems subjected to time-varying and nonlinear perturbations. The obtained results are extensions of some well-known results in (Hinrichsen and Son in Int. J. Robust Nonlinear Control 8:1169-1188, 1998; Shafai et al. in IEEE Trans. Autom. Control 42:265-270, 1997) to nonlinear time-varying perturbations. Two examples are given to illustr...