TY - GEN
T1 - Constrained exact controllability of semilinear systems with delay in control
AU - Klamka, Jerzy
PY - 2004
Y1 - 2004
N2 - In the paper infinite-dimensional dynamical control systems wth constant point delay in the control described by semilinear abstract differential equations are considered. Using a generalized open mapping theorem, sufficient conditions for constrained exact local controllability are formulated and proved. It is generally assumed, that the values of admissible controls are in a convex and closed cone with vertex at zero. Constrained exact local relative controllability of semilinear abstract second-order dynamical systems are also formulated and proved. As an illustrative example, constrained exact local relative controllability problem for semilinear hyperbolic type distributed parameters dynamical system is solved in details.
AB - In the paper infinite-dimensional dynamical control systems wth constant point delay in the control described by semilinear abstract differential equations are considered. Using a generalized open mapping theorem, sufficient conditions for constrained exact local controllability are formulated and proved. It is generally assumed, that the values of admissible controls are in a convex and closed cone with vertex at zero. Constrained exact local relative controllability of semilinear abstract second-order dynamical systems are also formulated and proved. As an illustrative example, constrained exact local relative controllability problem for semilinear hyperbolic type distributed parameters dynamical system is solved in details.
UR - https://www.scopus.com/pages/publications/14344255534
U2 - 10.1109/cdc.2004.1430237
DO - 10.1109/cdc.2004.1430237
M3 - Conference contribution
AN - SCOPUS:14344255534
SN - 0780386825
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 1388
EP - 1393
BT - 2004 43rd IEEE Conference on Decision and Control (CDC)
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 43rd IEEE Conference on Decision and Control, CDC 2004
Y2 - 14 December 2004 through 17 December 2004
ER -