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On stability analysis of systems featuring a multiplicative combination of nonlinear and linear time-invariant feedback

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Title On stability analysis of systems featuring a multiplicative combination of nonlinear and linear time-invariant feedback
 
Creator KULKARNI, VV
PAO, LY
SAFONOV, MG
 
Subject INTEGRAL QUADRATIC CONSTRAINTS
MIMO NONLINEARITIES
MULTIPLIERS
MONOTONE
stability
multipliers
monotone nonlinearities
Zames-Falb multipliers
 
Description We show that sufficient conditions for the finite-gain stability of certain systems featuring a multiplicative combination of memoryless nonlinear feedback and linear time-invariant feedback, as encountered in some systems' biology prototype applications, can be obtained by building on the Rantzer multipliers. These results are obtained by observing that for all finite energy signals x, the time-truncated inner product < x, H(x)N(x)>(T) is positive for all T > 0 if N belongs to a subclass of positive memoryless monotone nonlinearities and if, in addition, H is a Rantzer multiplier. Copyright (C) 2011 John Wiley & Sons, Ltd.
 
Publisher WILEY-BLACKWELL
 
Date 2012-06-26T05:00:01Z
2012-06-26T05:00:01Z
2011
 
Type Article
 
Identifier INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,21(18)2101-2108
1049-8923
http://dx.doi.org/10.1002/rnc.1684
http://dspace.library.iitb.ac.in/jspui/handle/100/13925
 
Language English