Spatial decay analysis in interconnected dynamical systems using vector Lyapunov functions
In this paper we analyze the propagation of input signals in a large-scale network of dynamical systems. Using vector Lyapunov functions, the individual multidimensional subsystems are first reduced to an approximating scalar representation in the form of the evolution of their weighted norm. The norm simultaneously qualifies as a local Lyapunov function for the isolated subsystem. Employing properties of M-matrices, we then derive linear system dynamics which provide an upper bound for the...[Show more]
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|Source:||Critical Observations in a Diagnostic Problem|
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