H2 algebraic Riccati equation for descriptor systems

D. Yang; Q. Zhang; Guofeng Zhang

H2 algebraic Riccati equation for descriptor systems

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

Abstract

In this paper, we study H2 generalized algebraic Riccati equations for continuous-time descriptor systems. First some preliminary results are presented. Secondly, we introduce Hamiltonian matrix and its properties for descriptor systems, and derive the conditions for the existence of a solution to H2 generalized algebraic Riccati equations which reveal an inter-relationship between Hamiltonian matrix and the solution. Finally, a numerical example is given to illustrate the main result.

Original language	English
Pages (from-to)	2937-2942
Number of pages	6
Journal	Proceedings of the American Control Conference
Volume	4
Publication status	Published - 1 Jan 2001
Externally published	Yes
Event	2001 American Control Conference - Arlington, VA, United States Duration: 25 Jun 2001 → 27 Jun 2001

Keywords

Descriptor systems
H control 2
H generalized algebraic Riccati equations 2
Hamiltonian matrix

ASJC Scopus subject areas

Control and Systems Engineering

Cite this

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title = "H2 algebraic Riccati equation for descriptor systems",

abstract = "In this paper, we study H2 generalized algebraic Riccati equations for continuous-time descriptor systems. First some preliminary results are presented. Secondly, we introduce Hamiltonian matrix and its properties for descriptor systems, and derive the conditions for the existence of a solution to H2 generalized algebraic Riccati equations which reveal an inter-relationship between Hamiltonian matrix and the solution. Finally, a numerical example is given to illustrate the main result.",

keywords = "Descriptor systems, H control 2, H generalized algebraic Riccati equations 2, Hamiltonian matrix",

author = "D. Yang and Q. Zhang and Guofeng Zhang",

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T1 - H2 algebraic Riccati equation for descriptor systems

AU - Yang, D.

AU - Zhang, Q.

AU - Zhang, Guofeng

PY - 2001/1/1

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N2 - In this paper, we study H2 generalized algebraic Riccati equations for continuous-time descriptor systems. First some preliminary results are presented. Secondly, we introduce Hamiltonian matrix and its properties for descriptor systems, and derive the conditions for the existence of a solution to H2 generalized algebraic Riccati equations which reveal an inter-relationship between Hamiltonian matrix and the solution. Finally, a numerical example is given to illustrate the main result.

AB - In this paper, we study H2 generalized algebraic Riccati equations for continuous-time descriptor systems. First some preliminary results are presented. Secondly, we introduce Hamiltonian matrix and its properties for descriptor systems, and derive the conditions for the existence of a solution to H2 generalized algebraic Riccati equations which reveal an inter-relationship between Hamiltonian matrix and the solution. Finally, a numerical example is given to illustrate the main result.

KW - Descriptor systems

KW - H control 2

KW - H generalized algebraic Riccati equations 2

KW - Hamiltonian matrix

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M3 - Conference article

VL - 4

SP - 2937

EP - 2942

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

SN - 0743-1619

T2 - 2001 American Control Conference

Y2 - 25 June 2001 through 27 June 2001

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