Klamka, Jerzy (Silesian Univ. of Tech.)

Constrained Controllability of Semilinear Systems with Delay in Control

Scheduled for presentation during the Regular Session "Infinite Dimensional and Distributed Parameter Systems III" (ThP06), Thursday, July 27, 2006, 16:10−16:35, Room G

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 19, 2024

Abstract

In the paper finite-dimensional dynamical control systems described by semilinear ordinary differential state equations with single time-variable point delay in control are considered. Using a generalized open mapping theorem, sufficient conditions for constrained local relative controllability near the origin are formulated and proved. It is generally assumed, that the values of admissible controls are in a given convex and closed cone with vertex at zero. Some remarks and comments on the existing results for constrained controllability of nonlinear dynamical systems are also presented. Simple example which illustrates theoretical considerations is also given.