Journal of Engineering Mathematics

, Volume 8, Issue 2, pp 125-131

First online:

An exponential stability criterion for certain nonlinear systems

  • Y. V. VenkateshAffiliated withDept. of Electrical Engineering, Indian Institute of Science

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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.