Fundamental theory of control of general first-order matrix difference systems

Kanuri N. Murty; Laurene V. Fausett; Yan Wu

Fundamental theory of control of general first-order matrix difference systems

Kanuri N. Murty, Laurene V. Fausett, Yan Wu

Mathematical Sciences

Georgia Southern University

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

1 Scopus citations

Abstract

This paper presents the general solution of the first-order matrix difference/discrete system T(n + 1) = A(n)T(n)B(n) + D(n)U(n) R(n) = C(n)T(n) in terms of two fundamental matrix solutions of T(n + 1) = A(n)T(n) and T(n + 1) = B*(n)T(n). Then questions are addressed related to controllability, observability, and realizability. Further, more general criteria are presented for complete controllability and complete observability of time-invariant systems.

Original language	English
Pages (from-to)	301-310
Number of pages	10
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume	13
Issue number	2
State	Published - Apr 2006

Keywords

Controllability
Fundamental matrix solutions
Gramian matrix
Observability
Realizability

Cite this

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title = "Fundamental theory of control of general first-order matrix difference systems",

abstract = "This paper presents the general solution of the first-order matrix difference/discrete system T(n + 1) = A(n)T(n)B(n) + D(n)U(n) R(n) = C(n)T(n) in terms of two fundamental matrix solutions of T(n + 1) = A(n)T(n) and T(n + 1) = B*(n)T(n). Then questions are addressed related to controllability, observability, and realizability. Further, more general criteria are presented for complete controllability and complete observability of time-invariant systems.",

keywords = "Controllability, Fundamental matrix solutions, Gramian matrix, Observability, Realizability",

author = "Murty, {Kanuri N.} and Fausett, {Laurene V.} and Yan Wu",

year = "2006",

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language = "English",

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journal = "Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis",

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T1 - Fundamental theory of control of general first-order matrix difference systems

AU - Murty, Kanuri N.

AU - Fausett, Laurene V.

AU - Wu, Yan

PY - 2006/4

Y1 - 2006/4

N2 - This paper presents the general solution of the first-order matrix difference/discrete system T(n + 1) = A(n)T(n)B(n) + D(n)U(n) R(n) = C(n)T(n) in terms of two fundamental matrix solutions of T(n + 1) = A(n)T(n) and T(n + 1) = B*(n)T(n). Then questions are addressed related to controllability, observability, and realizability. Further, more general criteria are presented for complete controllability and complete observability of time-invariant systems.

AB - This paper presents the general solution of the first-order matrix difference/discrete system T(n + 1) = A(n)T(n)B(n) + D(n)U(n) R(n) = C(n)T(n) in terms of two fundamental matrix solutions of T(n + 1) = A(n)T(n) and T(n + 1) = B*(n)T(n). Then questions are addressed related to controllability, observability, and realizability. Further, more general criteria are presented for complete controllability and complete observability of time-invariant systems.

KW - Controllability

KW - Fundamental matrix solutions

KW - Gramian matrix

KW - Observability

KW - Realizability

UR - http://www.scopus.com/inward/record.url?scp=33845714913&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33845714913

SN - 1201-3390

VL - 13

SP - 301

EP - 310

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

IS - 2

ER -

Fundamental theory of control of general first-order matrix difference systems

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Keywords

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