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Stability and optimization of control systems


This project aims at studying two classes of control systems:classical control problems and impulsive control systems. Asregards classical control systems the purpose is look at optimalproblems with mixed constraints in the state and in the controlvariables and provide necessary optimality conditions in the formof the strong maximum principle of Pontryagin for problems withfinite horizon. Then look at problems of the same kind but withinfinite horizon and extend the necessary conditions to this classof problems. Regarding the second class of problems, the impulsiveones, we first aim at proving existence of smooth impulsivefeedback control for the impulsive control system and secondlyproviding necessary optimality conditions for the impulsivecontrol problem. This part will depend on the optimalityconditions obtained for the classical optimal control problem withmixed constraints. (AU)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
DE OLIVEIRA, VALERIANO ANTUNES; SILVA, GERALDO NUNES. Optimality conditions for infinite horizon control problems with state constraints. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 71, n. 12, p. E1788-E1795, DEC 15 2009. Web of Science Citations: 6.
DE OLIVEIRA‚ VA; SILVA‚ GN; ROJAS-MEDAR‚ MA. A class of multiobjective control problems. OPTIMAL CONTROL APPLICATIONS & METHODS, v. 30, n. 1, p. 77-86, 2009. Web of Science Citations: 12.

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