IEEE Transactions on Automatic Control, Vol.55, No.7, 1722-1725, 2010
Comments on A Multichannel IOS Small Gain Theorem for Systems With Multiple Time-Varying Communication Delays
The small-gain condition presented by Polushin et al. may be replaced by a strictly weaker one to obtain essentially the same result. The necessary minor modifications of the proof are given. Using essentially the same arguments, a global version of the result is also presented.
Keywords:Generalized small-gain condition;input-to-output stability;Lyapunov stability;networked control systems;time-varying communication delays