SIAM Journal on Control and Optimization, Vol.54, No.4, 1934-1949, 2016
COUPLED ODEs CONTROL SYSTEM WITH UNBOUNDED HYSTERESIS REGION
This paper addresses a control system governed by two ODEs with a hysteresis nonlinearity of generalized play type. The characteristic curves describing the hysteresis region are allowed to be unbounded and are not necessarily monotone. The existence of solutions and some of their properties are established for our control system.
Keywords:nonlinear evolution control systems;hysteresis;subdifferential;nonconvex constraints;relaxation;extreme points