Bogolyubov-type theorem with constraints induced by a control system with hysteresis effect |
| |
Authors: | S.A. Timoshin A.A. Tolstonogov |
| |
Affiliation: | Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Lermontov str., 134, Irkutsk, 664033, Russia |
| |
Abstract: | We consider the problem of minimization of an integral functional with nonconvex with respect to the control integrand. We minimize our functional over the solution set of a control system described by two ordinary differential equations subject to a control constraint given by a multivalued mapping with closed nonconvex values. The coefficients of the equations and the constraint depend on the phase variables. One of the equations contains the subdifferential of the indicator function of a closed convex set depending on the unknown phase variable. The equation containing the subdifferential describes an input–output relation of hysteresis type. |
| |
Keywords: | Evolution control systems Subdifferential Nonconvex constraints Relaxation Hysteresis |
本文献已被 ScienceDirect 等数据库收录! |