Estimate of Periodic Suboptimal Controls

G. Grammel
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G. Grammel: University of South Australia

Journal of Optimization Theory and Applications, 1998, vol. 99, issue 3, No 5, 689 pages

Abstract: Abstract We consider the infinite-time optimal control problem of minimizing an average functional for nonlinear control systems. For controllable systems, we give an explicit estimate for the required period T of ɛ-suboptimal T-periodic orbits. Moreover, we show that controllable systems are characterized by the existence of periodic suboptimal trajectories for any average functional.

Keywords: Nonlinear control systems; controllability; control sets; suboptimal periodic controls; average functionals (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1023/A:1021707201815

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