Modelling and Data Analysis
2021. Vol. 11, no. 4, 21–32
doi:10.17759/mda.2021110402
ISSN: 2219-3758 / 2311-9454 (online)
Synthesis of Optimal Control of a Group of Objects of Variable Dimension
Abstract
General Information
Keywords: hybrid systems of variable dimension, optimal control, switch systems, time-optimal operation
Journal rubric: Control Theory
Article type: scientific article
DOI: https://doi.org/10.17759/mda.2021110402
For citation: Bortakovskii A.S., Evdokimova E.A. Synthesis of Optimal Control of a Group of Objects of Variable Dimension. Modelirovanie i analiz dannikh = Modelling and Data Analysis, 2021. Vol. 11, no. 4, pp. 21–32. DOI: 10.17759/mda.2021110402. (In Russ., аbstr. in Engl.)
References
- Agrachev A.A., Sachkov U.L. Geometric control theory. Moscow: Physmathlit, 2005. 392 p.
- Bellman R. Dynamic programmimg. Moscow: Foreign literature, 1960. 400 p.
- Bortakovskii A.S. Sufficient optimality conditions for hybrid systems of variable dimension // Works of MIAN 308, 2020, P.88–100.
- Bortakovskii A.S., Evdokimova E.A. Synthesis of optimal hybrid systems for multipurpose time-optimal operation // Problems of mathematical analysis, ed. 109, 2021. P. 39–50.
- Mathematical theory of optimal processes / L.S. Pontryagin [and others] Moscow: Fizmatgiz, 1961. 393 p.
- Dmitruk A.V., Kaganovich A.M. The hybrid maximum principle is a consequence of Pontryagin maximum principle , Syst. Control Lett. 57, No. 11. P. 964–970 (2008).
- Sussmann H.J. A maximum principle for hybrid optimal control problems // Proc. of 38th IEEE Conference on Decision and Control, Phoenix, 1999.
Information About the Authors
Metrics
Views
Total: 413
Previous month: 10
Current month: 5
Downloads
Total: 120
Previous month: 4
Current month: 1