Stabilization of first integrals in optimal control problem

Stabilization of positive systems with first integrals

Positive systems possessing %rst integrals are considered. These systems frequently occur in applications. This paper is devoted to two stabilization problems. The %rst is concerned with the design of feedbacks to stabilize a given level set. Secondly, it is shown that the same feedback allows to globally stabilize an equilibrium point if it is asymptotically stable with respect to initial cond...

Stabilization of Switched Systems via Optimal Control

In this paper we consider switched systems composed of LTI non Hurwitz dynamics and we deal with the problem of computing an appropriate switching law such that the controlled system is globally asymptotically stable. We first present a method to design a feedback control law that minimizes a linear quadratic performance index when an infinite number of switches is allowed and at least one dyna...

Quasi-Optimal Robust Stabilization of Control Systems

In this paper, we investigate the problem of semi-global minimal time robust stabilization of analytic control systems with controls entering linearly, by means of a hybrid state feedback law. It is shown that, in the absence of minimal time singular trajectories, the solutions of the closed-loop system converge to the origin in quasi minimal time (for a given bound on the controller) with a ro...

Symmetries and Integrals of Motion in Optimal Control 1

First Integrals of a Special System of Odes (TECHNICAL NOTE)

In this paper we suggest a method to calculate the first integrals of a special system of the first order of differential equations. Then we use the method for finding the solutions of some differential equations such as, the differential equation of RLC circuit.