Optimal control of Lorenz system during different time intervals.

DOI10.1016/S0096-3003(02)00411-3zbMath1036.49028MaRDI QIDQ1405065

F. Bukhari, A. I. El-Gohary

Publication date: 25 August 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

optimal controlLyapunov functionLorenz systemsfinite and infinite time intervals

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Navier-Stokes equations for incompressible viscous fluids (76D05) Asymptotic stability in control theory (93D20) Stability of solutions to ordinary differential equations (34D20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (8)

Implementation on electronic circuits and RTR pragmatical adaptive synchronization: time-reversed uncertain dynamical systems' analysis and applications ⋮ Adaptive set-point tracking of the Lorenz chaotic system using non-linear feedback ⋮ Chaos and optimal control of a coupled dynamo with different time horizons ⋮ HJB equation for optimal control system with random impulses ⋮ Bursting phenomena as well as the bifurcation mechanism in controlled Lorenz oscillator with two time scales ⋮ Adaptive control and synchronization of a coupled dynamo system with uncertain parameters ⋮ Optimal control and synchronization of Lorenz system with complete unknown parameters ⋮ Optimal synchronization of Rössler system with complete uncertain parameters

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• SYNCHRONIZATION STABILITY ANALYSIS OF THE CHAOTIC RÖSSLER SYSTEM
• Application of the minimal control synthesis algorithm to the control and synchronization of chaotic systems
• Stability, Instability and Chaos
• Controlling Lorenz chaos

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