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• W2156102486 abstract "In this work, we show that, given a nonlinear programming problem, it is possible to construct a family of dynamical systems, defined on the feasible set of the given problem, so that: (a) the equilibrium points are the unknown critical points of the problem, which are asymptotically stable, (b) each dynamical system admits the objective function of the problem as a Lyapunov function, and (c) explicit formulas are available without involving the unknown critical points of the problem. The construction of the family of dynamical systems is based on the Control Lyapunov Function methodology, which is used in mathematical control theory for the construction of stabilizing feedback. The knowledge of a dynamical system with the previously mentioned properties allows the construction of algorithms, which guarantee the global convergence to the set of the critical points." @default.
• W2156102486 created "2016-06-24" @default.
• W2156102486 creator A5021934149 @default.
• W2156102486 date "2013-11-12" @default.
• W2156102486 modified "2023-09-25" @default.
• W2156102486 title "Feedback Stabilization Methods for the Solution of Nonlinear Programming Problems" @default.
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• W2156102486 doi "https://doi.org/10.1007/s10957-013-0459-5" @default.
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