Research
Communication | Open Access
Volume 2022 | Communication ID 6740
Volume 2022 | Communication ID 6740
Estimation of the polynomial decay rate for a class of delayed semilinear systems |
Ahmed Delbouh, Yassine Benslimane, Hassan El Amri
Received |
Accepted |
Published |
May 15, 18:53 |
July 01, 2022 |
July 15, 2022 |
Abstract: This communication presents the problem of feedback stabilization for distributed semilinear systems with time delay r>0 described as follows: {(dy(t)/dt=Ay(t)+v(t)By(t-r),t=0,\\ y(t)=f(t),t?[-r;0], (1)} where y(t) is the state on a Hilbert space H endowed with the inner product <.,.> and its corresponding norm ?¦?. In addition, the linear operator A:D(A)?H?H (generally unbounded) generates a strongly continuous semigroup of contractions S(t) on H. If y?C([-r,+8¦[,H) and t=0, then y_t?C_r is defined by y_t (?)=y(t+?) for all ??[-r,0], where ...