Article (Scientific journals)
Oscillatority of Nonlinear Systems with Static Feedback
Efimov, Denis; Fradkov, Alexander
2009In SIAM Journal on Control and Optimization, 48 (2), p. 618-640
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Keywords :
oscillations; robust stability
Abstract :
[en] 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.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Efimov, Denis ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation
Fradkov, Alexander;  IPME RAS > CSS Lab
Language :
English
Title :
Oscillatority of Nonlinear Systems with Static Feedback
Publication date :
February 2009
Journal title :
SIAM Journal on Control and Optimization
ISSN :
0363-0129
eISSN :
1095-7138
Publisher :
Society for Industrial & Applied Mathematics
Volume :
48
Issue :
2
Pages :
618-640
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 12 June 2009

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