Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
750324 | Systems & Control Letters | 2013 | 9 Pages |
Abstract
We consider a class of square MIMO transfer functions that map a proper cone in the space of L2L2 input signals to the same cone in the space of output signals. Transfer functions in this class have the “DC-dominant” property: the maximum radius of the operator spectrum is attained by a DC input signal and, hence, the dynamic stability of the feedback interconnection of such transfer functions is guaranteed solely by static gain analysis. Using this property, we prove that cone-preserving linear delay differential equations are robustly stable against arbitrary constant delay values. This provides an alternative proof of the delay-independent mean-square stability of a multi-dimensional geometric Brownian motion.
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Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Takashi Tanaka, Cédric Langbort, Valeri Ugrinovskii,