Title :
On ultimate boundedness of delay synchronization algorithms for semi-passive systems
Author_Institution :
Dept. of Mech. Eng., Univ. of Maryland, College Park, MD, USA
fDate :
Sept. 29 2010-Oct. 1 2010
Abstract :
In this paper we study stability of several delay synchronization algorithms for coupled dynamical systems. Using the framework of semi-passive systems, and under appropriate assumptions on the storage function, it is demonstrated that interconnection of control affine nonlinear systems using output or mean field coupling lead to bounded closed loop solutions independent of the delay. The mean field result is validated using simulations on coupled Hindmarsh-Rose neuron models.
Keywords :
affine transforms; closed loop systems; delays; neurocontrollers; nonlinear control systems; stability; synchronisation; appropriate assumptions; bounded closed loop solutions; control affine nonlinear systems; coupled Hindmarsh-Rose neuron models; coupled dynamical systems; delay independent; delay synchronization algorithms; interconnection; mean field coupling; mean field result; semi-passive systems; stability; storage function; ultimate boundedness; Closed loop systems; Couplings; Delay; Mathematical model; Neurons; Stability analysis; Synchronization;
Conference_Titel :
Communication, Control, and Computing (Allerton), 2010 48th Annual Allerton Conference on
Conference_Location :
Allerton, IL
Print_ISBN :
978-1-4244-8215-3
DOI :
10.1109/ALLERTON.2010.5707116
