TY - JOUR
T1 - Practical considerations in the control of chaos
AU - Bayly, Philip V.
AU - Virgin, Lawrence N.
PY - 1994
Y1 - 1994
N2 - Unstable periodic orbits in certain chaotic systems may be stabilized via small perturbations of a control parameter. Stabilization using linear feedback has been achieved in both simulations and physical experiments. Not all chaotic systems can be controlled easily or well, and the effectiveness of proposed control algorithms depends strongly on mathematical properties of the chaotic behavior. Practical considerations are discussed that affect the robustness of local linear control strategies, with emphasis on the range of feedback gains which can stabilize the linearized map.
AB - Unstable periodic orbits in certain chaotic systems may be stabilized via small perturbations of a control parameter. Stabilization using linear feedback has been achieved in both simulations and physical experiments. Not all chaotic systems can be controlled easily or well, and the effectiveness of proposed control algorithms depends strongly on mathematical properties of the chaotic behavior. Practical considerations are discussed that affect the robustness of local linear control strategies, with emphasis on the range of feedback gains which can stabilize the linearized map.
UR - http://www.scopus.com/inward/record.url?scp=0001015353&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.50.604
DO - 10.1103/PhysRevE.50.604
M3 - Article
AN - SCOPUS:0001015353
SN - 1063-651X
VL - 50
SP - 604
EP - 607
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 1
ER -