Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/83789
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Type: Conference paper
Title: Small-gain conditions for stochastic network systems
Author: Wu, Z.
Karimi, H.
Shi, P.
Citation: Proceedings of the 52nd IEEE Conference on Decision and Control, CDC 2013: pp.1223-1228
Publisher: IEEE
Publisher Place: USA
Issue Date: 2013
Series/Report no.: IEEE Conference on Decision and Control
ISBN: 9781467357142
ISSN: 0191-2216
Conference Name: IEEE Annual Conference on Decision and Control (52nd : 2013 : Firenze, Italy)
Statement of
Responsibility: 
Zhaojing Wu, Hamid Reza Karimi and Peng Shi
Abstract: In this paper, some small-gain conditions are presented for stochastic network systems which can describe many large-scale systems with interconnections, nonlinear behaviors, uncertainties and random disturbances. One subsystem is selected as monitor with the requirement that the gains to other systems are smooth concave functions. The relations of members under the supervise of the monitor are described as bilateral plus multilateral relations of gains. For the deterministic case, the requirement on the monitor can be removed. To demonstrate the power of this result, the small-gain conditions cover interconnected system with two subsystems as a special case. Compared with the existing results, the main character is that the forward completion of system and ultimate uniform boundedness of input are removed from conditions of small-gain theorems.
Keywords: Stochastic systems; Network systems; Input-tostate stability; Dissipativity.
Rights: ©2013 IEEE
RMID: 0020137352
DOI: 10.1109/CDC.2013.6760049
Appears in Collections:Electrical and Electronic Engineering publications

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