Null controllability of neutral evolution integrodifferential systems with infinite delay

Mathematical Problems in Engineering

Volumn 2006, Issue , 2006, Pages

  Balachandran, K ^a   Leelamani, A ^a  

^a BHARATHIAR UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROLLABILITY; NONLINEAR SYSTEMS; THEOREM PROVING;

BANACH SPACES; INFINITE DELAY; NEUTRAL EVOLUTION INTEGRODIFFERENTIAL SYSTEMS; SADOVSKI FIXED POINT THEOREM;

INTEGRODIFFERENTIAL EQUATIONS;

EID: 33746870819     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/MPE/2006/45468     Document Type: Article

References (18)

1. I. M. Ananjevski V. B. Kolmanovski Stabilization of some nonlinear hereditary mechanical systems. Nonlinear Analysis. Theory, Methods & Applications 15 1990 2 101 114
2. K. Balachandran E. R. Anandhi Neutral functional integrodifferential control systems in Banach spaces. Kybernetika 39 2003 3 359 367
3. K. Balachandran J. P. Dauer Existence of solutions of a nonlinear mixed neutral equation. Applied Mathematics Letters 11 1998 2 23 28
4. K. Balachandran J. P. Dauer Controllability of nonlinear systems in Banach spaces: a survey. Journal of Optimization Theory and Applications 115 2002 1 7 28
5. E. N. Chukwu Differential Models and Neutral Systems for Controlling the Wealth of Nations. Series on Advances in Mathematics for Applied Sciences 54 World Scientific New Jersey 2001 xvi+513
6. C. Corduneanu V. Lakshmikantham Equations with unbounded delay: a survey. Nonlinear Analysis. Theory, Methods & Applications 4 1980 5 831 877
7. A. Friedman Partial Differential Equations. Holt, Rinehart and Winston New York 1969 vi+262
8. X. L. Fu Controllability of neutral functional differential systems in abstract space. Applied Mathematics and Computation 141 2003 2-3 281 296
9. X. L. Fu Controllability of abstract neutral functional differential systems with unbounded delay. Applied Mathematics and Computation 151 2004 2 299 314
10. X. L. Fu K. Ezzinbi Existence of solutions for neutral functional differential evolution equations with nonlocal conditions. Nonlinear Analysis 54 2003 2 215 227
11. J. K. Hale J. Kato Phase space for retarded equations with infinite delay. Funkcialaj Ekvacioj 21 1978 1 11 41
12. H. R. Henríquez Periodic solutions of quasi-linear partial functional-differential equations with unbounded delay. Funkcialaj Ekvacioj 37 1994 2 329 343
13. H. R. Henríquez Regularity of solutions of abstract retarded functional-differential equations with unbounded delay. Nonlinear Analysis. Theory, Methods & Applications 28 1997 3 513 531
14. E. Hernández H. R. Henríquez Existence results for partial neutral functional-differential equations with unbounded delay. Journal of Mathematical Analysis and Applications 221 1998 2 452 475
15. Y. Hino S. Murakami T. Naito Functional-Differential Equations with Infinite Delay. Lecture Notes in Mathematics 1473 Springer Berlin 1991 x+317
16. W. H. Kwon G. W. Lee S. W. Kim Performance improvement using time delays in multivariable controller design. International Journal of Control 52 1990 6 1455 1473
17. B. N. Sadovski On a fixed point principle. Functional Analysis and Applications 1 1967 2 74 76
18. P. Sobolevskii On equations of parabolic type in Banach space. American Mathematical Society Translations 49 1965 1 62