摘要:

The paper studies the problems of stabilization and pole placement in linear multi-variable systems by means of unity rank output feedback matrices. The results are given in the form of two lemmas : the Stabilization lemma and the Pole placement lemma. These lemmas give two simple necessary conditions for the existence of a stabilizing feedback matrix and a feedback matrix which places the poles at arbitrary locations. The conditions are given in terms of the coefficients of the system transfer-function matrix and are illustrated by a number of numerical examples.

ISSN:0020-7179    

DOI:10.1080/00207177608922143

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

The concept of zeros and zero-directions of a linear time-invariant multivariable system is applied to the problem of shifting eigenvectors into the kernel of the information extraction mapC. By making the maximum number of the closed system modes unobservable, a lower-order transfer-function matrix is obtained. The state feedback structure reducing the model to one of lower dimensions does not exploit all of the degrees of freedom. A part of them are used for pole allocation of the remaining observable poles using a dyadic feedback technique. The suggested technique is applied to reduce a broad class of multivariable systems into first-order multivariable systems. Finally, a dynamical structure realizing the same objectives is introduced.

ISSN:0020-7179    

DOI:10.1080/00207177608922144

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

摘要:

Solutions to stochastic functional equations are shown to generate Liapunov functions for a class of discrete stochastic systems. One such solution, which is readily computed, gives an algorithm for calculating numerical Liapunov functions for such systems.

ISSN:0020-7179    

DOI:10.1080/00207177608922145

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177608922146

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177608922147

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor

ISSN:0020-7179    

DOI:10.1080/00207177608922148

出版商:Taylor & Francis Group    

年代:1976

数据来源: Taylor