OSCILLATORITY OF NONLINEAR SYSTEMS WITH STATIC FEEDBACK

被引：34
作者：
Efimov, Denis V. [1 ,2 ]
Fradkov, Alexander L. [2 ]
机构：
[1] Univ Liege, B-4000 Liege, Belgium
[2] Inst Problem Mech Engn, Control Complex Syst Lab, St Petersburg 199178, Russia
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2009年 / 48卷 / 02期
关键词：
analysis of oscillations; control of oscillations; DISSIPATIVE DYNAMICAL-SYSTEMS; STABILITY; INPUT; THEOREM; OUTPUT;
D O I：
10.1137/070706963
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
New Lyapunov-like conditions for oscillatority of dynamical systems in the sense of Yakubovich are proposed. Unlike previous results these conditions are applicable to nonlinear systems and allow for consideration of nonperiodic, e. g., chaotic modes. Upper and lower bounds for oscillations amplitude are obtained. The relation between the oscillatority bounds and excitability indices for the systems with the input are established. Control design procedure providing nonlinear systems with oscillatority property is proposed. Examples illustrating proposed results for Van der Pol system, Lorenz system, and Hindmarsh-Rose neuron model as well as computer simulation results are given.
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页码：618 / 640
页数：23
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