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Practical Stability and Stabilization of a Class of Nonlinear Neutral Type Time

Raúl Villafuerte*, Belem Saldivar, and Sabine Mondié
International Journal of Control, Automation, and Systems, vol. 11, no. 5, pp.859-867, 2013

Abstract : "In this paper, the practical stability and stabilization of a class of nonlinear neutral type time delay systems with multiple delays and bounded perturbations is discussed. Sufficient conditions based on Lyapunov-Krasovskii functionals are derived. They are formulated in terms of the feasibility of a set of Bilinear Matrix Inequalities (BMI’s). A practical exponential estimate of the system response is also obtained. This approach is shown to be useful in the solution of an engineering problem: the elimination of the stick-slip phenomenon in the drilling process."

Keyword : Drilling process, neutral type time delay systems, practical stability.

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