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ON DICHOTOMY AND CONDITIONING FOR TWO-POINT BOUNDARY VALUE PROBLEMS ASSOCIATED WITH FIRST ORDER MATRIX LYAPUNOV SYSTEMS
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 Title & Authors
ON DICHOTOMY AND CONDITIONING FOR TWO-POINT BOUNDARY VALUE PROBLEMS ASSOCIATED WITH FIRST ORDER MATRIX LYAPUNOV SYSTEMS
Murty, M.S.N.; Kumar, G. Suresh;
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 Abstract
This paper deals with the study of dichotomy and conditioning for two-point boundary value problems associated with first order matrix Lyapunov systems, with the help of Kronecker product of matrices. Further, we obtain close relationship between the stability bounds of the problem on one hand, and the growth behaviour of the fundamental matrix solution on the other hand.
 Keywords
Lyapunov system;boundary value problems;Kronecker product;dichotomy;condition number;
 Language
English
 Cited by
1.
On the Ψ-Conditional Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations, Annals of West University of Timisoara - Mathematics and Computer Science, 2015, 53, 2  crossref(new windwow)
2.
On the Ψ-Conditional Exponential Asymptotic Stability of Nonlinear Lyapunov Matrix Differential Equations, Annals of West University of Timisoara - Mathematics and Computer Science, 2016, 54, 1  crossref(new windwow)
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