The problem of control of the asynchronous spectrum of linear periodic systems with an irregular feasible set – a necessary condition for solvability
EDN: SWKPWB
Abstract
A linear periodic control system with a constant control matrix is considered. The program control is periodic, and its period is incommensurate with the period of the coefficient matrix. The feasible set of such periodic controls is called irregular. The problem is posed of selecting a control from this feasible set so that the now quasiperiodic system has a periodic solution with a given frequency spectrum whose period coincides with the control period. This problem is called the asynchronous spectrum control problem with an irregular feasible set. A necessary condition for its solvability is given.
About the Authors
A. K. Demenchuk
Institute of Mathematic of the National Academy of Sciences of Belarus
Belarus
Belarus
Minsk
E. K. Makarov
Institute of Mathematic of the National Academy of Sciences of Belarus
Belarus
Belarus
Minsk
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Review
For citations:
Demenchuk A.K., Makarov E.K. The problem of control of the asynchronous spectrum of linear periodic systems with an irregular feasible set – a necessary condition for solvability. Proceedings of the Institute of Mathematics of the NAS of Belarus. 2025;33(2):90-95. (In Russ.) EDN: SWKPWB
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