Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2006; 43(1): 149-159

Printed March 1, 2006

Copyright © The Korean Mathematical Society.

Controllability, observability, and realizability of matrix Lyapunov systems

M. S. N. Murty, B. V. Appa Rao, and G. Suresh Kumar

Acharya Nagarjuna University

Abstract

This paper presents necessary and sufficient conditions for complete controllability, complete observability and realizability associated with matrix Lyapunov systems under certain smoothness conditions.

Keywords: controllability, observability and realizability, Lyapunov systems and transition matrix

MSC numbers: 49K15, 93C15