[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
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