Stabilization of two-dimensional single-input bilinear systems with a finite number of constant feedback controllers

Bo Hu; Guisheng Zhai; Anthony N. Michel

doi:10.1109/ACC.2002.1023906

Stabilization of two-dimensional single-input bilinear systems with a finite number of constant feedback controllers

Bo Hu, Guisheng Zhai, Anthony N. Michel

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

In this paper, we consider the control problem of stabilizing a class of two-dimensional bilinear systems with a finite number of constant feedback controllers along with appropriate switchings. We show that the bilinear systems under consideration are stabilizable either by one constant feedback controller, or by two such controllers, or that they are not stabilizable by a finite number of such controllers.

Original language	English
Pages (from-to)	1874-1879
Number of pages	6
Journal	Proceedings of the American Control Conference
Volume	3
DOIs	https://doi.org/10.1109/ACC.2002.1023906
Publication status	Published - 2002 Jan 1
Externally published	Yes

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/ACC.2002.1023906

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abstract = "In this paper, we consider the control problem of stabilizing a class of two-dimensional bilinear systems with a finite number of constant feedback controllers along with appropriate switchings. We show that the bilinear systems under consideration are stabilizable either by one constant feedback controller, or by two such controllers, or that they are not stabilizable by a finite number of such controllers.",

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N2 - In this paper, we consider the control problem of stabilizing a class of two-dimensional bilinear systems with a finite number of constant feedback controllers along with appropriate switchings. We show that the bilinear systems under consideration are stabilizable either by one constant feedback controller, or by two such controllers, or that they are not stabilizable by a finite number of such controllers.

AB - In this paper, we consider the control problem of stabilizing a class of two-dimensional bilinear systems with a finite number of constant feedback controllers along with appropriate switchings. We show that the bilinear systems under consideration are stabilizable either by one constant feedback controller, or by two such controllers, or that they are not stabilizable by a finite number of such controllers.

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Stabilization of two-dimensional single-input bilinear systems with a finite number of constant feedback controllers

Abstract

ASJC Scopus subject areas

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