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|Title:||Small-gain conditions for stochastic network systems|
|Citation:||Proceedings of the 52nd IEEE Conference on Decision and Control, CDC 2013: pp.1223-1228|
|Series/Report no.:||IEEE Conference on Decision and Control|
|Conference Name:||IEEE Annual Conference on Decision and Control (52nd : 2013 : Firenze, Italy)|
|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.|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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