Bifurcation control in systems governed by functional differential equations

Author

Wang, Yong

Author_Institution

Div. of Eng. & Appl. Sci., California Inst. of Technol., Pasadena, CA, USA

Volume

5

fYear

2000

fDate

2000

Firstpage

4409

Abstract

Provides explicit sufficient conditions under which a Hopf bifurcation in systems described by functional differential equations can be stabilized. The main assumption is that the bifurcating modes are linearly unstabilizable and all other modes are linearly stabilizable. Stabilization of a Hopf bifurcation is defined as the existence of sufficiently smooth feedback control laws such that the Hopf bifurcation for the closed loop systems is supercritical. The construction of stabilizing control laws is explicit. We also give an example to illustrate the theory

Keywords

bifurcation; closed loop systems; differential equations; feedback; functional equations; stability; Hopf bifurcation; bifurcation control; explicit sufficient conditions; functional differential equations; linearly unstabilizable modes; stabilizing control laws; sufficiently smooth feedback control laws; Bifurcation; Closed loop systems; Control systems; Delay; Differential equations; Feedback; Hysteresis; Limit-cycles; Partial differential equations; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2000. Proceedings of the 39th IEEE Conference on

Conference_Location

Sydney, NSW

ISSN

0191-2216

Print_ISBN

0-7803-6638-7

Type

conf

DOI

10.1109/CDC.2001.914600

Filename

914600