Controlling the multiplicity of limit cycles

Jorge L. Moiola; Guanrong Chen

doi:10.1109/CDC.1998.757964

Controlling the multiplicity of limit cycles

Jorge L. Moiola, Guanrong Chen

Research output: Journal Publications and Reviews › RGC 22 - Publication in policy or professional journal

2 Citations (Scopus)

Abstract

Bifurcation control refers to the task of modifying certain bifurcative dynamical behavior of a nonlinear system that is desirable for an intended application, by means of designing an appropriate controller. In this paper, the problem of controlling the multiplicity of periodic solutions of a nonlinear systems is addressed. The approach utilizes the system curvature coefficients (or stability indexes) obtained via higher-order harmonic balance approximations. A typical example (Sibirskii's example) of a planar cubic system is presented for illustration.

Original language	English
Pages (from-to)	3052-3057
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	3
DOIs	https://doi.org/10.1109/CDC.1998.757964
Publication status	Published - 1998
Externally published	Yes
Event	Proceedings of the 1998 37th IEEE Conference on Decision and Control (CDC) - Tampa, FL, USA Duration: 16 Dec 1998 → 18 Dec 1998

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AU - Moiola, Jorge L.

AU - Chen, Guanrong

PY - 1998

Y1 - 1998

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AB - Bifurcation control refers to the task of modifying certain bifurcative dynamical behavior of a nonlinear system that is desirable for an intended application, by means of designing an appropriate controller. In this paper, the problem of controlling the multiplicity of periodic solutions of a nonlinear systems is addressed. The approach utilizes the system curvature coefficients (or stability indexes) obtained via higher-order harmonic balance approximations. A typical example (Sibirskii's example) of a planar cubic system is presented for illustration.

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U2 - 10.1109/CDC.1998.757964

DO - 10.1109/CDC.1998.757964

M3 - RGC 22 - Publication in policy or professional journal

SN - 0191-2216

VL - 3

SP - 3052

EP - 3057

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - Proceedings of the 1998 37th IEEE Conference on Decision and Control (CDC)

Y2 - 16 December 1998 through 18 December 1998

ER -

Controlling the multiplicity of limit cycles

Abstract

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