Title :
A sufficient optimality condition for piecewise C1 extremal controls
Author_Institution :
Dept. of Math., Tongji Univ., Shanghai, China
Abstract :
We give an exposition of a few aspects of our methodology for the general nonlinear optimal control in the piecewise C1 case. We obtain a sufficient optimality condition for piecewise C1 extremal controls by a first order partial differential equation, an optimization process and the Pontryagin principle. We express the optimal value function by Lie series. Finally, we present the application of this method in singular optimal control problems
Keywords :
nonlinear control systems; optimal control; optimisation; partial differential equations; Lie series; Pontryagin principle; nonlinear control systems; optimal control; optimization; partial differential equation; piecewise extremal controls; sufficient condition; Mathematics; Nonlinear control systems; Nonlinear systems; Optimal control; Partial differential equations; Sufficient conditions;
Conference_Titel :
Intelligent Control and Automation, 2000. Proceedings of the 3rd World Congress on
Conference_Location :
Hefei
Print_ISBN :
0-7803-5995-X
DOI :
10.1109/WCICA.2000.863191
