ROBUST D-STABILITY OF THE INTERVAL POLYNOMIAL SET AND ROBUST   D-STABILIZATION OF THE INTERVAL RATIONAL-FUNCTION SET

doi:10.1080/00207729408928979

CORC > 北京大学 > 工学院

	ROBUST D-STABILITY OF THE INTERVAL POLYNOMIAL SET AND ROBUST D-STABILIZATION OF THE INTERVAL RATIONAL-FUNCTION SET
	WANG, L ; HUANG, L
刊名	international journal of systems science
	1994
DOI	10.1080/00207729408928979
英文摘要	The interval polynomial set proves to be an effective tool to deal with systems stability under bounded parameter perturbations. Based on the value set idea and vector operations in the complex plane, some early results on robust D-stability of the interval polynomial set are improved. Extreme point results for some typical stability regions, including the relative stability region, the delta-operator stability region and the damping requirements stability region, are presented. Critical vertex polynomials with respect to each stability region are constructed, and some connections between these critical vertex polynomials have been established. The number of critical vertex polynomials is shown to be a cubic function of the order of the interval polynomial set. Explicit formulae for such numbers associated with each stability region have been derived. These results are then used to obtain extreme point results for robust D-stabilization of the interval rational function set. Illustrative examples are also presented.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1994NE64400011&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Automation & Control Systems; Computer Science, Theory & Methods; Operations Research & Management Science; SCI(E); 1; ARTICLE; 3; 551-570; 25
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/316263]
专题	工学院
推荐引用方式 GB/T 7714	WANG, L,HUANG, L. ROBUST D-STABILITY OF THE INTERVAL POLYNOMIAL SET AND ROBUST D-STABILIZATION OF THE INTERVAL RATIONAL-FUNCTION SET[J]. international journal of systems science,1994.
APA	WANG, L,&HUANG, L.(1994).ROBUST D-STABILITY OF THE INTERVAL POLYNOMIAL SET AND ROBUST D-STABILIZATION OF THE INTERVAL RATIONAL-FUNCTION SET.international journal of systems science.
MLA	WANG, L,et al."ROBUST D-STABILITY OF THE INTERVAL POLYNOMIAL SET AND ROBUST D-STABILIZATION OF THE INTERVAL RATIONAL-FUNCTION SET".international journal of systems science (1994).