ON DICHOTOMY AND CONDITIONING FOR TWO-POINT BOUNDARY VALUE PROBLEMS ASSOCIATED WITH FIRST ORDER MATRIX LYAPUNOV SYSTEMS

- Journal title : Journal of the Korean Mathematical Society
- Volume 45, Issue 5, 2008, pp.1361-1378
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2008.45.5.1361

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;

Murty, M.S.N.; Kumar, G. Suresh;

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

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