A Stability Result for Interconnections of Nonlinear Systems with "Mixed" Small Gain and Passivity Properties
Date
2007
Authors
Griggs, Wynita
Anderson, Brian
Lanzon, Alexander
Rotkowitz, Michael
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Institute of Electrical and Electronics Engineers (IEEE Inc)
Abstract
A feedback interconnection consisting of two nonlinear systems is shown to be input-output stable when a "mixed" small gain and passivity assumption is placed on each of the systems. The "mixed" small gain and passivity property captures the well-known notions of passivity and small gain associated with systems: the property can be appropriately reduced to an input and output strictly passive system description; or alternatively can be reduced to a description of a system with small, finite gain. More importantly, the property captures a concept of "blending" of the small gain and passivity ideas. This concept of "blending" can be visualized, for example, by considering linear time-invariant systems that exhibit passivetype properties at, say low frequencies; and lose these passivetype properties but have small gain at high frequencies.
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Keywords
Keywords: Interconnection networks; Natural frequencies; Nonlinear systems; Passivity assumption; Time-invariant systems; Asymptotic stability
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Source
Proceedings of the 46th IEEE Conference on Decision and Control 2007
Type
Conference paper
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Restricted until
2037-12-31
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