On Lyapunov theorems for descriptor systems

Guofeng Zhang; Qingling Zhang; Tongwen Chen; Yanping Lin

On Lyapunov theorems for descriptor systems

Guofeng Zhang, Qingling Zhang, Tongwen Chen, Yanping Lin

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

In this paper, based on the definition of pseudo-observability for a descriptor system, the relationship between observability and admissibility is established by means of a generalized Lyapunov equation. The H2 norm of the system is computed using this Lyapunov equation. A static output feedback is designed which guarantees the admissibility of the resulting closed-loop system. Two examples are given to illustrate the main results in this paper.

Original language	English
Pages (from-to)	709-725
Number of pages	17
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Volume	10
Issue number	5
Publication status	Published - 1 Oct 2003
Externally published	Yes

Keywords

Admissibility
Descriptor systems
Lyapunov equations
Pseudo-controllability
Pseudo-observability

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

Cite this

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title = "On Lyapunov theorems for descriptor systems",

abstract = "In this paper, based on the definition of pseudo-observability for a descriptor system, the relationship between observability and admissibility is established by means of a generalized Lyapunov equation. The H2 norm of the system is computed using this Lyapunov equation. A static output feedback is designed which guarantees the admissibility of the resulting closed-loop system. Two examples are given to illustrate the main results in this paper.",

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AU - Zhang, Qingling

AU - Chen, Tongwen

AU - Lin, Yanping

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N2 - In this paper, based on the definition of pseudo-observability for a descriptor system, the relationship between observability and admissibility is established by means of a generalized Lyapunov equation. The H2 norm of the system is computed using this Lyapunov equation. A static output feedback is designed which guarantees the admissibility of the resulting closed-loop system. Two examples are given to illustrate the main results in this paper.

AB - In this paper, based on the definition of pseudo-observability for a descriptor system, the relationship between observability and admissibility is established by means of a generalized Lyapunov equation. The H2 norm of the system is computed using this Lyapunov equation. A static output feedback is designed which guarantees the admissibility of the resulting closed-loop system. Two examples are given to illustrate the main results in this paper.

KW - Admissibility

KW - Descriptor systems

KW - Lyapunov equations

KW - Pseudo-controllability

KW - Pseudo-observability

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M3 - Journal article

SN - 1492-8760

VL - 10

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JO - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

IS - 5

ER -

On Lyapunov theorems for descriptor systems

Abstract

Keywords

ASJC Scopus subject areas

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