Quadratic Lyapunov functions for linear systems Journal

Venkatesh, YV (1969) Quadratic Lyapunov functions for linear systems Journal. In: Mathematical Proceedings of the Cambridge Philosophical Society, 66 (1). 115-117 .

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Abstract

The paper deals with the existence of a quadratic Lyapunov function V = x′P(t)x for an exponentially stable linear system with varying coefficients described by the vector differential equation S0305004100044777_inline1 The derivative dV/dt is allowed to be strictly semi-(F) and the locus dV/dt = 0 does not contain any arc of the system trajectory. It is then shown that the coefficient matrix A(t) of the exponentially stable sy

Item Type:	Journal Article
Publication:	Mathematical Proceedings of the Cambridge Philosophical Society
Publisher:	Cambridge University Press
Additional Information:	Copyright of this article belongs to Cambridge University Press.
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	08 Aug 2011 05:34
Last Modified:	08 Aug 2011 05:34
URI:	http://eprints.iisc.ac.in/id/eprint/39817

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