On one piece-constant control for nonlinear differential equations in banach space

The problem of controlling solutions to nonlinear differential equations is studied.
equations with unstable equilibrium positions. It is assumed that the operator of the linearized problem is bounded and its spectrum is located inside the right half-plane. The existence of a control has been proven in which the solution can be maintained in any predetermined neighborhood of the equilibrium position for an arbitrarily long time


УДК 517.977





   Keywords:  piecewise constant control, unstable equilibrium position, spectrum, linearization