Fractional Order Optimal Control Problems with Free Terminal Time
arXiv:1302.1717 · doi:10.3934/jimo.2014.10.363
Abstract
We consider fractional order optimal control problems in which the dynamic control system involves integer and fractional order derivatives and the terminal time is free. Necessary conditions for a state/control/terminal-time triplet to be optimal are obtained. Situations with constraints present at the end time are also considered. Under appropriate assumptions, it is shown that the obtained necessary optimality conditions become sufficient. Numerical methods to solve the problems are presented, and some computational simulations are discussed in detail.
This is a preprint of a paper whose final and definite form will appear at Journal of Industrial and Management Optimization (JIMO). Paper submitted 13-Dec-2012; revised 27-Jan-2013 and 06-Feb-2013; accepted for publication 07-Feb-2013
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- A necessary condition of Pontryagin type for fuzzy fractional optimal control problems
- Finite Time Stability Analysis for Fractional Stochastic Neutral Delay Differential Equations