TY - JOUR
T1 - Approximate controllability of semilinear non-autonomous evolution systems with state-dependent delay
AU - Fu, Xianlong
N1 - Publisher Copyright:
© 2017, American Institute of Mathematical Sciences. All rights reserved.
PY - 2017/12
Y1 - 2017/12
N2 - The controllability of non-autonomous evolution systems is an important and difficult topic in control theory. In this paper, we study the approximate controllability of semilinear non-autonomous evolution systems with state-dependent delay. The theory of linear evolution operators is used instead of C0-semigroup to discuss the problem. Some sufficient conditions of approximate controllability are formulated and proved here by using the resolvent operator condition. Finally, two examples are provided to illustrate the applications of the obtained results.
AB - The controllability of non-autonomous evolution systems is an important and difficult topic in control theory. In this paper, we study the approximate controllability of semilinear non-autonomous evolution systems with state-dependent delay. The theory of linear evolution operators is used instead of C0-semigroup to discuss the problem. Some sufficient conditions of approximate controllability are formulated and proved here by using the resolvent operator condition. Finally, two examples are provided to illustrate the applications of the obtained results.
KW - Approximate controllability
KW - Fractional power operator
KW - Linear evolution system
KW - Non-autonomous evolution equation
KW - State-dependent delay
UR - https://www.scopus.com/pages/publications/85029395531
U2 - 10.3934/eect.2017026
DO - 10.3934/eect.2017026
M3 - 文章
AN - SCOPUS:85029395531
SN - 2163-2472
VL - 6
SP - 517
EP - 534
JO - Evolution Equations and Control Theory
JF - Evolution Equations and Control Theory
IS - 4
ER -