Title :
Classes of stochastically switched (blinking) systems
Author :
Hasler, Martin ; Belykh, Igor ; Belykh, Vladimir
Author_Institution :
Sch. of Comput. & Comm. Syst., Ecole Polyt. Fed. de Lausanne
Abstract :
It is investigated to what extent the trajectories of a stochastically switched (blinking) system follow the corresponding trajectories of the averaged system. Four cases have to be distinguished, depending on whether or not the averaged system has a unique attractor and whether or not the attractor(s) is (are) invariant under the dynamics of the blinking system. The corresponding asymptotic behavior of the trajectories of the blinking system is described and illustrative examples are given
Keywords :
nonlinear dynamical systems; stochastic systems; asymptotic behavior; stochastically switched blinking systems; unique attractor; Differential equations; Mathematics; Random variables; Samarium; Statistics; Stochastic processes; Switches; Switching circuits;
Conference_Titel :
Circuits and Systems, 2007. ISCAS 2007. IEEE International Symposium on
Conference_Location :
New Orleans, LA
Print_ISBN :
1-4244-0920-9
Electronic_ISBN :
1-4244-0921-7
DOI :
10.1109/ISCAS.2007.377912