ON THE EXISTENCE OF "-OPTIMAL TRAJECTORIES OF THE CONTROL SYSTEMS WITH CONSTRAINED CONTROL RESOURCES
Abstract
The control system described by a Urysohn type integral equationis considered. It is assumed that the admissible control functions are chosenfrom the closed ball of the space Lp; p > 1;with radius r and centered atthe origin. Precompactness of the set of trajectories of the control system inthe space of continuous functions is shown. This allows to prove that optimalcontrol problem with lower semicontinuous payoğ functional has an "-optimaltrajectory for every " > 0. The control system described by a Urysohn type integral equationis considered. It is assumed that the admissible control functions are chosenfrom the closed ball of the space Lp; p > 1;with radius r and centered atthe origin. Precompactness of the set of trajectories of the control system inthe space of continuous functions is shown. This allows to prove that optimalcontrol problem with lower semicontinuous payoğ functional has an "-optimaltrajectory for every " > 0.
Source
Communications Series A1: Mathematics and StatisticsVolume
66Issue
1URI
http://www.trdizin.gov.tr/publication/paper/detail/TWpFMk56TTNOdz09https://hdl.handle.net/20.500.12418/3424
Collections
- Makale Koleksiyonu [3404]
- Öksüz Yayınlar Koleksiyonu - TRDizin [3395]