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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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|
|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|
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