Several Problems Of Optimal Control Problems

This paper is divided into three sections.In section 1 (chapter 2), we introduce some knowledge of genetic algorithms(GAs), include the main idea, origin, advantage, disadvantage, the main frame of application, the influence of the main factor to genetic algorithms .In section 2(chapter 3), base on disadvantage of GAs, we advance some technique to improve the performance of GA.the improved GAs has better ability on global and local searching.We apply the improved Gas in constrained extremum, non-linear equation groups, parameter identification,bvp in ode.Numerical experiments show that the improved algorithms has better ability to hit the global solutions and improve the precision of the solutions.In section 3(chapter 4), briefly introduce the main method of solving optimal control problems with variational calculus and Pontryagin's Minimum Principle ,and the main disadvantage of the conventional method in solving optimal control problems, we solve optimal control problems with GAs.Numerical experiments show the improved algorithms is robust and effective...