A combination of small-gain and density propagation inequalities for stability analysis of networked systems
arXiv:1508.060182 citationsh-index: 29
Originality Incremental advance
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Provides a theoretical framework for stability analysis of networked systems with non-global small-gain conditions, relevant to control theory researchers.
The paper addresses stability analysis of large-scale interconnected nonlinear systems where the small-gain condition fails globally, using a combination of small-gain and density propagation inequalities to prove almost input-to-state stability.
In this paper, the problem of stability analysis of a large-scale interconnection of nonlinear systems for which the small-gain condition does not hold globally is considered. A combination of the small-gain and density propagation inequalities is employed to prove almost input-to-state stability of the network.