Optimal periodic controls for linear impulsive periodic system

Proceedings - International Conference on Computer Science and Software Engineering, CSSE 2008

Volumn 4, Issue , 2008, Pages 138-141

  Wang, Jin Rong ^a   Xiang, X ^a   Wei, W ^a  

^a GUIZHOU UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRIC THEORY; LINEAR IMPULSIVE; OPTIMAL CONTROL PROBLEM; OPTIMAL PERIODIC CONTROL; PERIODIC SYSTEM; QUADRATIC FUNCTION;

BANACH SPACES; LYAPUNOV METHODS; SOFTWARE ENGINEERING; TOPOLOGY;

OPTIMIZATION;

EID: 79551636282     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CSSE.2008.908     Document Type: Conference Paper

References (16)

1. N.U. Ahmed. Optimal impulsive control for impulsive systems in Banach space. Int. J. Differential. Equations Appl., 1 (2000), 37-52.
2. N.U Ahmed, K.L. Teo and S.H. Hou. Nonlinear impulsive systems on infinite dimensional spaces. Nonlinear Analysis, 54 (2003), 907-925.
3. N.U. Ahmed. Semigroup theory with applications to system and control, Longman Scientific Technical. New York, 1991.
4. D.D. Bainov, PS. Simeonov. Impulsive differential equations: periodic solutions and applications. New York, Longman Scientific and Technical Group. Limited, 1993.
5. J.E. Bailey. Periodic operation of chemical reactors: A review. Chem. Eng. Commun., 1 (1973), 111-124.
6. S. Bittanti, G. Fronza and G. Guardabassi. Periodic control: A frequency domain approach, IEEE Trans. Automat. Contr., AG18 (1973), 33-38.
7. G. Guardabassi, A. Locatelli and S. Rinaldi. Status of periodic optimization of dynamical systems, J. Opt. Theory. Appl., 12 (1974), 1-20.
8. V. Lakshmikantham, D. D. Bainov and P. S. Simeonov. Theory of impulsive differential equations. Singapore-London, 1989.
9. X.J. Li and J.M. Yong. Optimal control theory for infinite dimensional systems. Birkhauser Boston, 1995.
10. R. Marzollo. Periodic Optimization. Springer-Verlag, 1972.
11. JinRong Wang. Linear impulsive periodic system on Banach spaces. Proceedings of the 4th International Conference on Impulsive and Hybrid Dynamical Systems, 5 (2007), 20-25.
12. JinRong Wang, X. Xiang, and W. Wei. Linear impulsive periodic system with time-varying generating operators on Banach space. Advances in Difference Equations, 2007, Article ID 26196, 16 pages.
13. o-periodic impulsive perturbations on Banach spaces. Discrete Dynamics in Nature and Society, 2008, Article ID 524945, 16 pages.
14. JinRong Wang, X. Xiang, W. Wei and Qian Chen. Bounded and periodic solutions of semilinear impulsive periodic system. Fixed Point Theory and Application, 2008, Article ID 401947, 14 pages.
15. W. Wei, X. Xiang and Y. Peng. Nonlinear impulsive integro-differential equation of mixed type and optimal controls. Optimization, 55 (2003), 141-156.
16. X. Xiang, W. Wei and Y. Jiang. Strongly nonlinear impulsive system and necessary conditions of optimality. Dynamics of Continuous, Discrete and Impulsive Systems, A: Mathematical Analysis, 12 (2006), 811-824.