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Exponential estimates of a class of time-delay nonlinear systems with convex representations

Ramírez M., Villafuerte R., González T., Bernal M.

International Journal of Applied Mathematics and Computer Science

2015

Vol. 25, no. 4

815--826

This work introduces a novel approach to stability and stabilization of nonlinear systems with delayed multivariable inputs; it provides exponential estimates as well as a guaranteed cost of the system solutions. The result is based on an exact convex representation of the nonlinear system which allows a Lyapunov–Krasovskii functional to be applied in order to obtain sufficient conditions in the form of linear matrix inequalities. These are efficiently solved via convex optimization techniques. A real-time implementation of the developed approach on the twin rotor MIMO system is included.