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- Publisher
- Springer Journals
- Copyright
- Copyright © Pleiades Publishing, Ltd. 2021
- ISSN
- 0081-5438
- eISSN
- 1531-8605
- DOI
- 10.1134/s0081543821060195
- Publisher site
- See Article on Publisher Site
Abstract
We consider a linear problem with impulse control under an uncontrolled disturbance.The only information available about the disturbance is a connected compact set of its possible values.It is believed that one breakdown may occur and lead to a change in the dynamics of the control process.The time of the breakdown is not known in advance. Only the length of a time interval required to eliminatethe breakdown is known. The goal of the control process is to ensure that the value of a linear functionof the phase coordinates at a fixed point in time belongs to a given closed interval. The control isconstructed based on the principle of minimization of the guaranteed result. The opponents are the disturbanceand the time of the breakdown. Sufficient conditions are found under which the problem has a solution.A guaranteeing control is constructed.
Journal
Proceedings of the Steklov Institute of Mathematics – Springer Journals
Published: Dec 1, 2021
Keywords: control; impulse control; disturbance; breakdown