An exponential stability criterion for certain nonlinear systems

Venkatesh, YV (1974) An exponential stability criterion for certain nonlinear systems. In: Journal of Engineering Mathematics, 8 (2). pp. 125-131.

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Abstract

Improved sufficient conditions are derived for the exponential stability of a nonlinear time varying feedback system having a time invariant blockG in the forward path and a nonlinear time varying gain ϕ(.)k(t) in the feedback path. φ(.) being an odd monotone nondecreasing function. The resulting bound on $$\left( {{{\frac{{dk}}{{dt}}} \mathord{\left/ {\vphantom {{\frac{{dk}}{{dt}}} k}} \right. \kern-\nulldelimiterspace} k}} \right)$$ is less restrictive than earlier criteria.

Item Type:	Journal Article
Publication:	Journal of Engineering Mathematics
Publisher:	Springer
Additional Information:	Copyright of this article belongs to Springer.
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	17 Dec 2009 04:52
Last Modified:	19 Sep 2010 05:49
URI:	http://eprints.iisc.ac.in/id/eprint/24327

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