Controllability and Observability of Matrix Differential Algebraic Equations

Yan Wu

Controllability and Observability of Matrix Differential Algebraic Equations

Yan Wu

Mathematical Sciences

University of Manitoba

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

1 Scopus citations

Abstract

Controllability and observability of a class of matrix Differential Algebraic Equation (DAEs) are studied in this paper. The structure of a closed-form solution for the system is sought via two one-sided sub-systems. The solution is then used to derive necessary and sufficient conditions for the controllability and observability of the time-varying matrix DAE systems. More straightforward conditions on the controllability and observability of linear time-invariant matrix DAE systems that only depend on the state matrices are also obtained.

Original language	American English
Journal	Journal of Circuits, Systems, and Signal Processing
Volume	5
State	Published - Jan 1 2011

Keywords

Controllability
Differential algebraic equations
Gramian
Observability

DC Disciplines

Education
Mathematics

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http://www.naun.org/main/NAUN/circuitssystemssignal/20-448.pdf

Cite this

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title = "Controllability and Observability of Matrix Differential Algebraic Equations",

abstract = "Controllability and observability of a class of matrix Differential Algebraic Equation (DAEs) are studied in this paper. The structure of a closed-form solution for the system is sought via two one-sided sub-systems. The solution is then used to derive necessary and sufficient conditions for the controllability and observability of the time-varying matrix DAE systems. More straightforward conditions on the controllability and observability of linear time-invariant matrix DAE systems that only depend on the state matrices are also obtained.",

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author = "Yan Wu",

year = "2011",

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language = "American English",

volume = "5",

journal = "Journal of Circuits, Systems, and Signal Processing",

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TY - JOUR

T1 - Controllability and Observability of Matrix Differential Algebraic Equations

AU - Wu, Yan

PY - 2011/1/1

Y1 - 2011/1/1

N2 - Controllability and observability of a class of matrix Differential Algebraic Equation (DAEs) are studied in this paper. The structure of a closed-form solution for the system is sought via two one-sided sub-systems. The solution is then used to derive necessary and sufficient conditions for the controllability and observability of the time-varying matrix DAE systems. More straightforward conditions on the controllability and observability of linear time-invariant matrix DAE systems that only depend on the state matrices are also obtained.

AB - Controllability and observability of a class of matrix Differential Algebraic Equation (DAEs) are studied in this paper. The structure of a closed-form solution for the system is sought via two one-sided sub-systems. The solution is then used to derive necessary and sufficient conditions for the controllability and observability of the time-varying matrix DAE systems. More straightforward conditions on the controllability and observability of linear time-invariant matrix DAE systems that only depend on the state matrices are also obtained.

KW - Controllability

KW - Differential algebraic equations

KW - Gramian

KW - Observability

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/232

UR - http://www.naun.org/main/NAUN/circuitssystemssignal/20-448.pdf

M3 - Article

AN - SCOPUS:80053956213

VL - 5

JO - Journal of Circuits, Systems, and Signal Processing

JF - Journal of Circuits, Systems, and Signal Processing

ER -

Controllability and Observability of Matrix Differential Algebraic Equations

Abstract

Keywords

DC Disciplines

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