Regularization and index reduction for linear differential–algebraic systems

Vikas Kumar Mishra; Nutan Kumar Tomar; Mahendra Kumar Gupta

doi:10.1007/s40314-018-0589-3

Regularization and index reduction for linear differential–algebraic systems

Vikas Kumar Mishra, Nutan Kumar Tomar, Mahendra Kumar Gupta

Department of Physiology and Cell Biology

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

5 Scopus citations

Abstract

In this paper, a necessary and sufficient condition for the existence of a proportional semistate feedback is established such that the closed loop system is regular and of index at most two. The condition is characterized by a rank condition that involves only the original system coefficient matrices. Also, a new rank condition ensuring that a given linear time-invariant descriptor system is regular and of index at most some specific value is also derived. The developed theory is illustrated through physical and numerical examples.

Original language	English
Pages (from-to)	4587-4598
Number of pages	12
Journal	Computational and Applied Mathematics
Volume	37
Issue number	4
DOIs	https://doi.org/10.1007/s40314-018-0589-3
State	Published - 1 Sep 2018

Keywords

Descriptor systems
Index reduction
Regularization
Semistate feedback

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/s40314-018-0589-3

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abstract = "In this paper, a necessary and sufficient condition for the existence of a proportional semistate feedback is established such that the closed loop system is regular and of index at most two. The condition is characterized by a rank condition that involves only the original system coefficient matrices. Also, a new rank condition ensuring that a given linear time-invariant descriptor system is regular and of index at most some specific value is also derived. The developed theory is illustrated through physical and numerical examples.",

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author = "Mishra, {Vikas Kumar} and Tomar, {Nutan Kumar} and Gupta, {Mahendra Kumar}",

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AU - Tomar, Nutan Kumar

AU - Gupta, Mahendra Kumar

PY - 2018/9/1

Y1 - 2018/9/1

N2 - In this paper, a necessary and sufficient condition for the existence of a proportional semistate feedback is established such that the closed loop system is regular and of index at most two. The condition is characterized by a rank condition that involves only the original system coefficient matrices. Also, a new rank condition ensuring that a given linear time-invariant descriptor system is regular and of index at most some specific value is also derived. The developed theory is illustrated through physical and numerical examples.

AB - In this paper, a necessary and sufficient condition for the existence of a proportional semistate feedback is established such that the closed loop system is regular and of index at most two. The condition is characterized by a rank condition that involves only the original system coefficient matrices. Also, a new rank condition ensuring that a given linear time-invariant descriptor system is regular and of index at most some specific value is also derived. The developed theory is illustrated through physical and numerical examples.

KW - Descriptor systems

KW - Index reduction

KW - Regularization

KW - Semistate feedback

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U2 - 10.1007/s40314-018-0589-3

DO - 10.1007/s40314-018-0589-3

M3 - Article

AN - SCOPUS:85052538473

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EP - 4598

JO - Computational and Applied Mathematics

JF - Computational and Applied Mathematics

IS - 4

ER -

Regularization and index reduction for linear differential–algebraic systems

Abstract

Keywords

ASJC Scopus subject areas

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