Title :
On normality of lagrange multipliers for state constrained optimal control problems
Author_Institution :
Syst. Res. Inst., Warsaw, Poland
Abstract :
An optimal control problem for nonlinear ODEs, subject to mixed control-state and pure state constraints is considered. Sufficient conditions are formulated, under which there exist unique normal Lagrange multipliers and they are given by regular functions. These conditions include pointwise linear independence of gradients of α-active constraints and controllability of the linearized state equation.
Keywords :
controllability; linearisation techniques; nonlinear differential equations; optimal control; α-active constraints; Lagrange multiplier normality; controllability; linearized state equation; mixed control-state constraints; nonlinear ODE; pointwise linear independence; pure state constraints; regular functions; state constrained optimal control problems; Aerospace electronics; Controllability; Electronic mail; Equations; Nonlinear systems; Optimal control; control and state constraints; nonlinear systems; normal Lagrange multipliers; optimal control; ordinary differential equations;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
