摘要:

Necessary and sufficient conditions are given for the existence of a controller of specified orderncwhich will assign a specified matrix valueXto the covariance of the closed-loop system. If a solution exists, the entire set of stabilizing controllers that assignXare parameterized by a certain skew symmetric matrix.

ISSN:0020-7179    

DOI:10.1080/00207178908559737

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor

摘要:

New techniques are presented for the analysis of eigenvalue assignment robustness. The basic idea is to use a root locus approach to ensure that the eigenvalues of a dynamic system under parameter perturbations are restricted in the distinct desired regions. No restriction is imposed on the shapes of the specified regions. Both the norm bound and the element bound for the allowable perturbations are obtained. Scaling techniques are proposed to increase the allowable element bound. The proposed methods are applicable to the continuous-time case as well as to the discrete-time case. When the eigenvalues are just required to locate in the stable region, the proposed criteria will become the stability robustness criteria.

ISSN:0020-7179    

DOI:10.1080/00207178908559738

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor

摘要:

A counter-example is given to a recent result on the stability analysis of interval matrices by Jiang (1988). A sufficient condition is then presented for the asymptotic stability of the discrete-time interval systemX(k +1)= AIX(k),by testing the norms of extreme matrices of the interval matrixAIsuch that they are all less than one.

ISSN:0020-7179    

DOI:10.1080/00207178908559739

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor

摘要:

Based on an extension of the classical linearization method, an adaptive control scheme has recently been proposed by Choiet al.(1986). This control scheme, however, implicitly involves taking the inverse of the matrix [I+G(x(t), u(x(t)))], which complicates the computation. Moreover, since the matrix inversion depend- ing on the system statex(t) does not necessarily exist for all time, the proposed control scheme may lose its effectiveness. In this paper, we present a modified control scheme in which the aforementioned weakness does not appear.

ISSN:0020-7179    

DOI:10.1080/00207178908559740

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor

摘要:

This note points out an important mistake in a recent paper by Jiang (1988) on the asymptotic stability of discrete linear interval systems.

ISSN:0020-7179    

DOI:10.1080/00207178908559741

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor

摘要:

A sufficient condition that guarantees the stability of a perturbed continuous time system is derived. It has the advantage that it does not require global minimiza- tion.

ISSN:0020-7179    

DOI:10.1080/00207178908559742

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor

摘要:

This note shows that the resuh of Jiang (1988) for the robust stability of linear state space models is not new as claimed.

ISSN:0020-7179    

DOI:10.1080/00207178908559743

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor

摘要:

Recently, Jiang (1987) has shown that a set of interval matrices is stable if the symmetric part of the vertex matrices are stable. This result of Jiang (1987) is shown to be only applicable to matrices with all the diagonal elements negative.

ISSN:0020-7179    

DOI:10.1080/00207178908559744

出版商:Taylor & Francis Group    

年代:1989

数据来源: Taylor