<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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 of a Class of Time–Delay Nonlinear Systems with Convex Representations

Research Center on Information Technology and Systems, Hidalgo State University, Carretera Pachuca-Tulancingo Km. 4.5, CP 42184, Mineral de la Reforma, Hidalgo, Mexico

Department of Electric and Electronics Engineering, Sonora Institute of Technology, 5 de Febrero 818 Sur, CP 85000, Ciudad Obregón, Sonora, Mexico

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

This work introduces a novel approach to stability and stabilization of nonlinear systems with delayed multivariable inputs; it provides exponential estimates...

Exponential Estimates of a Class of Time–Delay Nonlinear Systems with Convex Representations

Publié en ligne: 30 déc. 2015

Pages: 815 - 826

Reçu: 02 août 2014

DOI: https://doi.org/10.1515/amcs-2015-0058

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

© 2015 Raúl Villafuerte et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Exponential Estimates of a Class of Time–Delay Nonlinear Systems with Convex Representations

Publié en ligne: 30 déc. 2015

Pages: 815 - 826

Reçu: 02 août 2014

DOI: https://doi.org/10.1515/amcs-2015-0058

Mots clésexponential estimates, time delay systems, TS model, guaranteed cost, convex representations

© 2015 Raúl Villafuerte et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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