Optimal Control of a Chaotic Map: Fixed Point Stabilization and Attractor Confinement

DOI10.1142/S0218127497000315zbMath0925.93373OpenAlexW2121051655MaRDI QIDQ4374508

Luca Luigi Ghezzi, Carlo Piccardi

Publication date: 1997

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127497000315

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (14)

A stable-manifold-based method for chaos control and synchronization ⋮ \(H_{\infty}\) controlling hyperchaos of the Rössler system with input nonlinearity ⋮ A chattering-free sliding mode control design for uncertain chaotic systems ⋮ Controlling chaos of the family of Rössler systems using sliding mode control ⋮ Sliding mode control of hyperchaos in Rössler systems. ⋮ ON THE STUDY OF DELAY FEEDBACK CONTROL AND ADAPTIVE SYNCHRONIZATION NEAR SUB-CRITICAL HOPF BIFURCATION ⋮ Robust controlling hyperchaos of the Rössler system subject to input nonlinearities by using sliding mode control ⋮ Adaptive robust PID controller design based on a sliding mode for uncertain chaotic systems ⋮ A new discrete chaotic system with rational fraction and its dynamical behaviors ⋮ Synchronization of two chaotic systems: dynamic compensator approach ⋮ Synchronization of a modified chua's circuit system via adaptive sliding mode control ⋮ Robust synchronization of chaotic systems via adaptive sliding mode control ⋮ Non-fragile sliding mode control of uncertain chaotic systems ⋮ Optimal control of chaotic systems via peak-to-peak maps

This page was built for publication: Optimal Control of a Chaotic Map: Fixed Point Stabilization and Attractor Confinement