Abstract
We consider robustness properties of second-order methods for the sliding mode control of nonlinear ordinary differential equations. A new approach is presented based on the theory of well-posed optimization problems. It is shown that the convergence of the real states of the control system to the ideal one is intimately related to Tykhonov well-posedness of suitably defined dynamic optimization problems.
Acknowledgments
This work was supported by MURST, progetto cofinanziato Feedback Control and Optimal Control. A preliminary version of this article was presented at IX Workshop on Well-Posedness in Optimization, Luminy, September 2003.
Notes
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