On the positivity and stability of non-stationary systems

Sundareshan, MK and Thathachar, MAL (1976) On the positivity and stability of non-stationary systems. In: Journal of the Franklin Institute, 302 (4). pp. 319-330.

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Abstract

The positivity of operators in Hilbert spaces is an important concept finding wide application in various branches of Mathematical System Theory. A frequency- domain condition that ensures the positivity of time-varying operators in L2 with a state-space description, is derived in this paper by using certain newly developed inequalities concerning the input-state relation of such operators. As an interesting application of these results, an L2 stability criterion for time-varying feedback systems consisting of a finite-sector non-linearity is also developed.

Item Type:	Journal Article
Publication:	Journal of the Franklin Institute
Publisher:	Elsevier Science
Additional Information:	Copyright of this article belongs to Elsevier Science.
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	05 Feb 2010 09:04
Last Modified:	19 Sep 2010 05:50
URI:	http://eprints.iisc.ac.in/id/eprint/24383

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