On stability analysis of systems featuring a multiplicative combination of nonlinear and linear time-invariant feedback
DSpace at IIT Bombay
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Title |
On stability analysis of systems featuring a multiplicative combination of nonlinear and linear time-invariant feedback
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Creator |
KULKARNI, VV
PAO, LY SAFONOV, MG |
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Subject |
INTEGRAL QUADRATIC CONSTRAINTS
MIMO NONLINEARITIES MULTIPLIERS MONOTONE stability multipliers monotone nonlinearities Zames-Falb multipliers |
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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.
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Publisher |
WILEY-BLACKWELL
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Date |
2012-06-26T05:00:01Z
2012-06-26T05:00:01Z 2011 |
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Type |
Article
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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 |
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Language |
English
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