Viable control for uncertain nonlinear dynamical systems described by differential inclusions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:315

Article

Chen, JW ; Huang, JF ; Lo, LY

关键词: viable control problem;    differential inclusion;    feedback-controlled system;    uncertain dynamical systems;    exponential convergence rate;   

DOI  :  10.1016/j.jmaa.2005.09.060

来源: Elsevier

【 摘 要 】

In this paper, we will study the viable control problem for a class of uncertain nonlinear dynamical systems described by a differential inclusion. The goal is to construct a feedback control such that all trajectories of the system are viable in a map. Moreover, for any initial states no viable in the map, under the feedback control, all solutions of the system are steered to the map with an exponential convergence rate and viable in the map after a finite time T. In this case, an estimate of the time T of all trajectories attaining the map is given. In the nanomedicine system, an example inspired from cerebral embolism and cerebral thrombosis problems illustrates the use of our main results. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free