TY - GEN
T1 - Optimal impulsive control problems with hysteresis
AU - Samsonyuk, Olga
AU - Timoshin, Sergey
N1 - Publisher Copyright:
© 2017 IEEE.
PY - 2017/7/10
Y1 - 2017/7/10
N2 - This paper deals with an optimal control problem for measure-driven differential equations with hysteresis. The hysteresis is modelled as a scalar rate independent variational inequality. First, we propose a concept of solution to the impulsive control system of our measure-driven differential equations with hysteresis. In general, these solutions belong to the class of functions of bounded variation. Then, we present some approximate results for the impulsive control system with hysteresis. Finally, we establish the existence of a solution to the optimal control problem we consider.
AB - This paper deals with an optimal control problem for measure-driven differential equations with hysteresis. The hysteresis is modelled as a scalar rate independent variational inequality. First, we propose a concept of solution to the impulsive control system of our measure-driven differential equations with hysteresis. In general, these solutions belong to the class of functions of bounded variation. Then, we present some approximate results for the impulsive control system with hysteresis. Finally, we establish the existence of a solution to the optimal control problem we consider.
UR - http://www.scopus.com/inward/record.url?scp=85027439206&partnerID=8YFLogxK
U2 - 10.1109/CNSA.2017.7974010
DO - 10.1109/CNSA.2017.7974010
M3 - Conference Proceeding
AN - SCOPUS:85027439206
T3 - 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings
BT - 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 - Proceedings
A2 - Polyakova, L. N.
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017
Y2 - 22 May 2017 through 27 May 2017
ER -