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首页> 外文期刊>Automatic Control, IEEE Transactions on >Fundamental Limits and Tradeoffs on Disturbance Propagation in Linear Dynamical Networks
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Fundamental Limits and Tradeoffs on Disturbance Propagation in Linear Dynamical Networks

机译：线性动力网络中扰动传播的基本极限和取舍

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摘要

We investigate performance deterioration in linear consensus networks subject to external stochastic disturbances. The expected value of the steady state dispersion of the states of the network is adopted as a performance measure. We develop a graph-theoretic methodology to relate structural specifications of the coupling graph of a linear consensus network to its performance measure. We explicitly quantify several inherent fundamental limits on the best achievable levels of performance and show that these limits of performance are emerged only due to the specific interconnection topology of the coupling graphs. Furthermore, we discover some of the inherent fundamental tradeoffs between notions of sparsity and performance in linear consensus networks.
机译：我们调查受外部随机干扰的线性共识网络中的性能下降。网络状态的稳态色散的期望值被用作性能度量。我们开发了一种图论方法，以将线性共识网络耦合图的结构规格与其性能指标相关联。我们在最佳可达到的性能水平上明确量化了一些固有的基本限制，并显示出这些性能限制仅是由于耦合图的特定互连拓扑而出现的。此外，我们发现线性共识网络中稀疏性和性能概念之间固有的一些基本权衡。

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