International Journal of applied mathematics and computer science

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Paper details

Number 4 - December 2015
Volume 25 - 2015

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

Máximo Ramírez, Raúl Villafuerte, Temoatzin González, Miguel Bernal

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.

exponential estimates, time delay systems, TS model, guaranteed cost, convex representations