On a Piecewise Constant Control for Nonlinear Differential
Equations in a Banach Space
摘要
Abstract
We study the problem on controlling solutions of nonlinear differential equations withunstable equilibrium states. We assume that the operator of the linearized problem is boundedand its spectrum is located in the right half-plane. We prove that there exists a control such thatthe solution remains in a prescribed neighborhood of an equilibrium state as long as required.