Delta-Nabla Optimal Control Problems

Details Delta-Nabla Optimal Control Problems Delta-Nabla Optimal Control Problems

2010-07-20

arxiv.org/abs/1007.3399v1

J. Vib. Control 17 (2011), no. 11, 1634--1643

Mathematics

Optimization and Control

Preprint version of an article submitted 28-Nov-2009; revised 02-Jul-2010; accepted 20-Jul-2010; for publication in Journal of

Scientific paper

10.1177/1077546310381271

We present a unified treatment to control problems on an arbitrary time scale by introducing the study of forward-backward optimal control problems. Necessary optimality conditions for delta-nabla isoperimetric problems are proved, and previous results in the literature obtained as particular cases. As an application of the results of the paper we give necessary and sufficient Pareto optimality conditions for delta-nabla bi-objective optimal control problems.

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