Summary

Proceedings of the 2013 International Symposium on Nonlinear Theory and its Applications

2013

Session Number:A3L-B

Session:

Number:82

Adaptive Control of Transient Dynamics to Periodic Orbits

Hiroyasu Ando,  Kazuyuki Aihara,  

pp.82-85

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.2.82

PDF download (519.8KB)

Summary:
We propose an adaptive delayed feedback control technique of nonlinear maps by using a parameter adjustment together with resetting a variable. This technique can convert transient processes into either stable or unstable periodic orbits. Moreover, the controlled orbit includes a pre-determined point in the phase space, which is related to the resetting value of the variable. We consider the control process as a kind of memory processes, i.e. the resetting value is stored in the dynamical system after control. To accomplish the storing function of memory, we investigate the system whether it can be a closed-loop system by turning off the resetting.

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