Lur'e Lyapunov functions and absolute stability criteria for Lur'e systems with multiple nonlinearities

作者: Chunyu Yang , Qingling Zhang , Linna Zhou , None

DOI: 10.1002/RNC.1155

关键词:

摘要: In this paper, the absolute stability problem of Lur'e systems with multiple nonlinearities is investigated. Popov-type criteria are surveyed and classified by distinguishing Lyapunov function upon which based. A modified presented. Some necessary sufficient conditions for existence Lyapynov to guarantee derived. By these conditions, LMI-based The obtained expected be less conservative than existing ones. Finally, numerical examples given illustrate advantages effectiveness our results. Copyright © 2006 John Wiley & Sons, Ltd.

参考文章(14)
Valery A. Ugrinovskii, Ian R. Petersen, Brief Guaranteed cost control of uncertain systems via Lur'e-Postnikov Lyapunov functions Automatica. ,vol. 36, pp. 279- 285 ,(2000) , 10.1016/S0005-1098(99)00139-9
C. A. Desoer, M. Vidyasagar, Nonlinear Systems Analysis ,(1978)
D.L. Standley, J.L. Wyatt, Stability criterion for lateral inhibition and related networks that is robust in the presence of integrated circuit parasitics IEEE Transactions on Circuits and Systems. ,vol. 36, pp. 675- 681 ,(1989) , 10.1109/31.31315
Poogyeon Park, A revisited Popov criterion for nonlinear Lur'e systems with sector-restrictions International Journal of Control. ,vol. 68, pp. 461- 470 ,(1997) , 10.1080/002071797223479
W.M. Haddad, D.S. Bernstein, Parameter-dependent Lyapunov functions and the Popov criterion in robust analysis and synthesis IEEE Transactions on Automatic Control. ,vol. 40, pp. 536- 543 ,(1995) , 10.1109/9.376077
Min Wu, Yong He, Guo-Ping Liu, Jin-Hua She, On Absolute Stability of Lur’e Control Systems with Multiple Non-Linearities* European Journal of Control. ,vol. 11, pp. 19- 28 ,(2005) , 10.3166/EJC.11.19-28
S. Arik, Global asymptotic stability of a class of dynamical neural networks IEEE Transactions on Circuits and Systems I-regular Papers. ,vol. 47, pp. 568- 571 ,(2000) , 10.1109/81.841858