# 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 Copyright of this article belongs to Springer. Division of Electrical Sciences > Electrical Engineering 17 Dec 2009 04:52 19 Sep 2010 05:49 http://eprints.iisc.ernet.in/id/eprint/24327