Optimal control of Lorenz system during different time intervals

Applied Mathematics and Computation

Volumn 144, Issue 2-3, 2003, Pages 337-351

  El Gohary, Awad ^a   Bukhari, F ^a  

^a KING SAUD UNIVERSITY   (Saudi Arabia)

Author keywords

Finite and infinite time intervals; Lorenz systems; Lyapunov function; Optimal control

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; FUNCTIONS; GRAPH THEORY; PERTURBATION TECHNIQUES;

LORENZ SYSTEM;

OPTIMAL CONTROL SYSTEMS;

EID: 0038112093     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00411-3     Document Type: Article

References (13)

1. Yu X. Controlling Lorenz chaos. Int. J. Syst. Sci. 27(4):1996;355-359.
2. Sparrow C. The Lorenz Equations: Bifurcation, Chaos and Strange Attractors. 1982;Springer, New York.
3. Stoten D.P., Bernardo Di Application of the minimal control synthesis algorithm to the control synchronization of chaotic systems. Int. J. Contr. 65(6):1996;925-938.
4. Bai Er-wei, Lonngen K.E. Synchronization of two Lorenz systems using active control. Chaos Soliton Fract. 8(1):1997;51-56.
5. E.A. El-Rifai, A generalization of Lotka-Volerra, GLV, systems with some dynamical and topological properties, Chaos Soliton Fract. 11 (2000) 1747-1751.
6. Malescio G. Synchronization of the Lorenz system through continuous feedback control. Phys. Rev. E. 53(6):1996;6566-6568.
7. Glendinning P. Stability, Unstability and Chaos: An Introduction to the Theory of Nonlinear Differential Equations. 1994;Cambridge University Press, Cambridge.
8. Krasovskii N. Problems in the stabilization of controlled motion. Malkin I.G. The Stability of Motion. 1966;Nauka Press, Moscow.
9. Francis C. Chaotic Vaibrationa, An Introduction for Applied Scientists and Engineers. 1987;Ithaca, New York.
10. Xie Q., Chen G. Synchronization stability analysis of the chaotic Rossler system. Int. J. Bifur. Chaos. 6(11):1996;2153-2161.
11. Bellman R., Dreufos S. Applied Problems in the Dynamic Programming. 1965;Nauka, Moscow.
12. Foy W.H. Fuel minimization in flight vehicle attitude control. IEEE Trans. Autom. Contr. Ac-8(2):1963;84-88.
13. Cook P.A. Nonlinear Dynamical System. 1986;Prentice Hall International, Englewood Cliffs, NJ.