# An exponential stability criterion for certain nonlinear systems

- Received:
- Revised:

DOI: 10.1007/BF02353614

- Cite this article as:
- Venkatesh, Y.V. J Eng Math (1974) 8: 125. doi:10.1007/BF02353614

## Summary

Improved sufficient conditions are derived for the exponential stability of a nonlinear time varying feedback system having a time invariant block*G* 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.