Controlled invariance for nonlinear systems

Structure Invariance for Uncertain Nonlinear Systems

Invariance Conditions for Nonlinear Dynamical Systems

Recently, Horváth, Song, and Terlaky [A novel unified approach to invariance condition of dynamical system, submitted to Applied Mathematics and Computation] proposed a novel unified approach to study, i.e., invariance conditions, sufficient and necessary conditions, under which some convex sets are invariant sets for linear dynamical systems. In this paper, by utilizing analogous methodology, ...

Singular Control-Invariance PDEs for Nonlinear Systems

In the present study a new method is proposed that allows the derivation of control laws capable of enforcing the desirable dynamics on an invariant manifold in state space. The problem of interest naturally surfaces in broad classes of physical and chemical systems whose dynamic behavior needs to be controlled and favorably shaped by external driving forces. In particular, the formulation of t...

An invariance principle for nonlinear switched systems

In this paper we address the problem of extending La Salle Invariance Principle to switched system. We prove an extension of the invariance principle relative to dwell-time switched solutions, and a second one relative to constrained switched systems.

Invariance Control of Noncascade Nonlinear Systems

This paper addresses the problem of controlling a state space region positively invariant while guaranteeing asymptotic stability for a class of nonlinear noncascade systems. Therefore a nonsmooth feedback controller is developed, achieving dissipa-tivity of the linear subsystem. This in turn allows switching of a control parameter of an additional asymptotic stabilizing control law. The freedo...