ON POLE ASSIGNMENT FOR A CLASS OF INFINITE DIMENSIONAL LINEAR SYSTEMS.

Avraham Feintuch; Moshe Rosenfeld

doi:10.1137/0316017

ON POLE ASSIGNMENT FOR A CLASS OF INFINITE DIMENSIONAL LINEAR SYSTEMS.

Avraham Feintuch, Moshe Rosenfeld

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Let left brace A,B right brace be an infinite dimensional linear system where A is normal with compact resolvent and the input space is finite dimensional. Then the controllability of left brace A,B right brace implies the possibility of assigning an arbitrary finite set of poles to the transfer function of the closed loop system formed by means of suitable linear state feedback. Thus such systems can always be stabilized through state feedback.

Original language	English
Pages (from-to)	270-276
Number of pages	7
Journal	SIAM Journal on Control and Optimization
Volume	16
Issue number	2
DOIs	https://doi.org/10.1137/0316017
State	Published - 1 Jan 1978

ASJC Scopus subject areas

Control and Optimization
Applied Mathematics

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title = "ON POLE ASSIGNMENT FOR A CLASS OF INFINITE DIMENSIONAL LINEAR SYSTEMS.",

abstract = "Let left brace A,B right brace be an infinite dimensional linear system where A is normal with compact resolvent and the input space is finite dimensional. Then the controllability of left brace A,B right brace implies the possibility of assigning an arbitrary finite set of poles to the transfer function of the closed loop system formed by means of suitable linear state feedback. Thus such systems can always be stabilized through state feedback.",

author = "Avraham Feintuch and Moshe Rosenfeld",

year = "1978",

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doi = "10.1137/0316017",

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AU - Feintuch, Avraham

AU - Rosenfeld, Moshe

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N2 - Let left brace A,B right brace be an infinite dimensional linear system where A is normal with compact resolvent and the input space is finite dimensional. Then the controllability of left brace A,B right brace implies the possibility of assigning an arbitrary finite set of poles to the transfer function of the closed loop system formed by means of suitable linear state feedback. Thus such systems can always be stabilized through state feedback.

AB - Let left brace A,B right brace be an infinite dimensional linear system where A is normal with compact resolvent and the input space is finite dimensional. Then the controllability of left brace A,B right brace implies the possibility of assigning an arbitrary finite set of poles to the transfer function of the closed loop system formed by means of suitable linear state feedback. Thus such systems can always be stabilized through state feedback.

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U2 - 10.1137/0316017

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M3 - Article

AN - SCOPUS:0017948588

SN - 0363-0129

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JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

IS - 2

ER -

ON POLE ASSIGNMENT FOR A CLASS OF INFINITE DIMENSIONAL LINEAR SYSTEMS.

Abstract

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