Controllability for semilinear retarded control systems in Hilbert spaces

Journal of Dynamical and Control Systems

Volumn 13, Issue 4, 2007, Pages 577-591

  Jeong, Jin Mun ^a   Kim, Jin Ran ^a   Roh, Hyun Hee ^a  

^a Pukyong National University   (South Korea)

Author keywords

Approximate controllability; Existence; Regularity; Semilinear retarded functional differential equation

Indexed keywords

LIPSCHITZ CONTINUITY; SEMILINEAR RETARDED FUNCTIONAL DIFFERENTIAL EQUATION; SEMILINEAR SYSTEM;

CONTROLLABILITY; DIFFERENTIAL EQUATIONS; HILBERT SPACES; LINEAR SYSTEMS;

CONTROL SYSTEMS;

EID: 35648938048     PISSN: 10792724     EISSN: 15738698     Source Type: Journal    
DOI: 10.1007/s10883-007-9024-6     Document Type: Article

References (10)

1. J. P. Dauer and N. I. Mahmudov, Approximate controllability of semilinear functional equations in Hilbert spaces. J. Math. Anal. Appl. 273 (2002), 310-327.
2. 2 -Regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives. J. Math. Anal. Appl. 102 (1984), 38-57.
3. J. M. Jeong, Y. C. Kwun, and J. Y. Park, Approximate controllability for semilinear retarded functional differential equations. J. Dynam. Control Systems 5 (1999), No. 3, 329-346.
4. K. Naito, Controllability of semilinear control systems dominated by the linear part. SIAM J. Control Optim. 25 (1987), 715-722.
5. N. Sukavanam and Nutan Kumar Tomar, Approximate controllability of semilinear delay control system. Nonlinear Func. Anal. Appl. (to appear).
6. H. Triebel, Interpolation theory, function spaces, differential operators. North-Holland (1978).
7. H. Tanabe, Equations of evolution. Pitman, London (1979).
8. H. Tanabe, Fundamental solutions of differential equation with time delay in Banach space, Funkcial. Ekvac. 35 (1992), 149-177.
9. M. Yamamoto and J. Y. Park, Controllability for parabolic equations with uniformly bounded nonlinear terms, J. Optim. Theory Appl. 66 (1990), 515-532.
10. H. X. Zhou, Approximate controllability for a class of semilinear abstract equations. SIAM J. Control Optim. 21 (1983).