Design of bounded feedback controls for linear dynamical systems by using common Lyapunov functions  

作　　者：Igor Ananievskii Nickolai Anokhin Alexander Ovseevich 

机构地区：[1]Institute for Problems in Mechanics,RAS 101-1,Vernadsky Ave.119526 Moscow Russia

出　　处：《Theoretical & Applied Mechanics Letters》2011年第1期66-68,共3页力学快报（英文版）

基　　金：supported by Russian Foundation for Basic Research(Grant No.08-01-00234,08-01-00411,08-08- 00292)

摘　　要：For a linear dynamical system,we address the problem of devising a bounded feedback control,which brings the system to the origin in finite time.The construction is based on the notion of a common Lyapunov function.It is shown that the constructed control remains effective in the presence of small perturbations.For a linear dynamical system,we address the problem of devising a bounded feedback control,which brings the system to the origin in finite time.The construction is based on the notion of a common Lyapunov function.It is shown that the constructed control remains effective in the presence of small perturbations.

关 键 词：linear control system feedback control bounded control common Lyapunov function 

分 类 号：O19[理学—数学]