TY - GEN
T1 - A novel approach to stability analysis of multivariable Lur'e systems
AU - Lee, Chun Mo
AU - Juang, Jyh Ching
PY - 2005
Y1 - 2005
N2 - A new approach via the real structured singular value analysis is proposed to test for the absolute stability of multivariable Lur'e systems. The approach presented in this paper holds for any sector-bounded, slope-restricted or secant-restricted nonlinearities commonly encountered in Lur'e systems. In addition, not only does it yield sharp stability bound, but also it removes some essential assumptions made in other existing results. Moreover, our algorithm can be easily and systematically extended to some more involved configurations, such as a Lur'e type system involved in two or more nonlinearities in different locations, or a multilayer recurrent neural network.
AB - A new approach via the real structured singular value analysis is proposed to test for the absolute stability of multivariable Lur'e systems. The approach presented in this paper holds for any sector-bounded, slope-restricted or secant-restricted nonlinearities commonly encountered in Lur'e systems. In addition, not only does it yield sharp stability bound, but also it removes some essential assumptions made in other existing results. Moreover, our algorithm can be easily and systematically extended to some more involved configurations, such as a Lur'e type system involved in two or more nonlinearities in different locations, or a multilayer recurrent neural network.
UR - http://www.scopus.com/inward/record.url?scp=27744497500&partnerID=8YFLogxK
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M3 - Conference contribution
AN - SCOPUS:27744497500
SN - 0780390458
T3 - IEEE International Conference on Mechatronics and Automation, ICMA 2005
SP - 199
EP - 203
BT - IEEE International Conference on Mechatronics and Automation, ICMA 2005
T2 - IEEE International Conference on Mechatronics and Automation, ICMA 2005
Y2 - 29 July 2005 through 1 August 2005
ER -