Restoration of controls under conditions of incomplete information on the dynamics of the system |
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| Institution: | 1. Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, the Netherlands;2. Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium;3. Department of Mathematics and Data Science, Vrije Universiteit Brussel, Brussels, Belgium;4. Department of Mathematics and Statistics, University of Regina, Regina, SK, S4S 0A2, Canada;5. Department of Mathematics, Brigham Young University, Provo UT 84602, USA;6. School of Mathematics and Statistics, University College Dublin, Belfield, Dublin 4, Ireland;7. University of Ljubljana, Faculty of Computer and Information Science and Faculty of Mathematics and Physics, Ljubljana, Slovenia;8. Institute of Mathematics, Physics, and Mechanics, Ljubljana, Slovenia;9. Department of Mathematics & Statistics, Villanova University, Villanova PA 19085, USA;10. Department of Mathematics, Redeemer University, Ancaster, ON, L9K 1J4, Canada;1. Dept. de Matemàtica, Universitat de Lleida, Lleida/Igualada, Catalonia;2. Dept. de Matemàtiques, Universitat Politècnica de Catalunya, Barcelona, Catalonia;3. Barcelona Graduate School of Mathematics, Institut de Matemàtiques de la UPC-BarcelonaTech (IMTech), Catalonia |
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| Abstract: | The inverse dynamical problem of the restoration of the controls or parameters of a dynamical system which are unknown in advance is considered, using results from the observation of the motion of the system under conditions when there is incomplete information on the phase states of the system. It is assumed that, at appropriate actual instants of time, the observer only obtains certain information sets containing the actual phase states of the system. It is well known that this problem is ill posed. Constructive dynamic regularizing algorithms for solving the problem are constructed which posses the property of physical feasibility and are capable of working under real-time conditions while processing incoming information during the motion of the system and producing a result in dynamics as the motion develops. |
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