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Direct Gradient Descent Control and Sontag's Formula on Asymptotic Stability of General Nonlinear Control System  

Naiborhu J. (Department of Mathematics, Faculty of Mathematics and Natural Science, Bandung Institute of Technology)
Nababan S. M. (Department of Mathematics, Faculty of Mathematics and Natural Science, Bandung Institute of Technology)
Saragih R. (Department of Mathematics, Faculty of Mathematics and Natural Science, Bandung Institute of Technology)
Pranoto I. (Department of Mathematics, Faculty of Mathematics and Natural Science, Bandung Institute of Technology)
Publication Information
International Journal of Control, Automation, and Systems / v.3, no.2, 2005 , pp. 244-251 More about this Journal
Abstract
In this paper, we study the problem of stabilizing a general nonlinear control system by means of gradient descent control method which is a dynamic feedback control law. In this method, the general nonlinear control system can be considered as an affine nonlinear control systems. Then by using Sontag's formula we investigate the stability (asymptotic) of the general nonlinear control system.
Keywords
Direct gradient descent control; Sontag's formula; asymptotic stability;
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