Optimal control for a class of strongly nonlinear impulsive equations in Banach spaces

Nonlinear Analysis, Theory, Methods and Applications

Volumn 63, Issue 5-7, 2005, Pages

  Wei, Wei ^a   Xiang, X ^a  

^a GUIZHOU UNIVERSITY   (China)

Author keywords

Impulsive evolution equation; Necessary condition; Nonlinear monotone operator; Optimal control

Indexed keywords

LAGRANGE MULTIPLIERS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES;

IMPULSIVE EVOLUTION EQUATIONS; NECESSARY CONDITION; NONLINEAR MONOTONE OPERATOR;

OPTIMAL CONTROL SYSTEMS;

EID: 28044453917     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.01.027     Document Type: Conference Paper

References (15)

1. N.U. Ahmed Some remarks on the dynamics of impulsive systems in Banach space Dyn. Contin. Discrete Impulsive Sys. 8 2001 261 274
2. N.U. Ahmed Optimal impulsive control for impulsive systems in Banach spaces Int. J. Differential Equations Appl. 1 2002 37 52
3. N.U. Ahmed, K.L. Teo, and S.H. Hou Nonlinear impulsive systems on infinite dimensional spaces Nonlinear Analysis T.M.A. 54 2003 907 925
4. N.U. Ahmed, and X. Xiang Nonlinear uncertain systems and necessary conditions of optimality SIAM J. Control Optim. 35 1997 1755 1772
5. 1-strong- weak lower semicontinuity of integral functionals Nonlinear Analysis T.M.A. 11 1987 1399 1404
6. D. Guo, and X. Liu Extremal solutions of nonlinear impulsive integrodifferential equations in Banach space J. Math. Anal. Appl. 177 1993 538 552
7. V. Lakshmikantham, D.D. Bainov, and P.S. Simeonov Theory of Impulsive Differential Equations 1989 World Scientific Singapore, London
8. X. Li, and J. Yong Optimal Control Theory for Infinite Dimensional Systems 1995 Birkhauser Boston
9. J.H. Liu Nonlinear impulsive evolution equations Dyn. Control Discrete Impulsive Sys. 6 1999 77 85
10. X. Liu, and Willms Stability analysis and applications to large scale impulsive system a new approach Canadian Appl. Math. Quart. 3 1995 419 444
11. W. Wei, and P. Sattayatham On existence of optimal control governed by a class of periodic nonlinear evolution systems on Banach spaces Acta Applicatae Funct. Anal. 4 2002
12. X. Xiang Optimal control for a class of strongly nonlinear evolution equations with constraints Nonlinear Analysis T.M.A. 47 2001 57 66
13. X. Xiang, P. Sattayatham, and W. Wei Relaxed controls for a class of strongly nonlinear delay evolution equations Nonlinear Analysis T.M.A. 52 2003 703 723
14. X. Xiang, W. Wei, Y. Jiang, Strongly nonlinear impulsive system and necessary conditions of optimality, Dyn. Contin. Discrete Impulsive Sys. A, to appear.
15. E. Zeidler Nonlinear Functional and Its Applications I. II. 1990 Springer New York