×

Stability analysis for a partial element equivalent circuit (PEEC) model of neutral type. (English) Zbl 1140.93452

Summary: This paper is concerned with the problem of robust stability analysis for a partial element equivalent circuit (PEEC) model of neutral type. Based on Lyapunov stability theory and a linear matrix inequality (LMI) approach, some sufficient delay-dependent stability conditions are derived. A numerical example shows that the result using the method in the paper is less conservative than that using some existing methods in the literature.

MSC:

93D09 Robust stability
Full Text: DOI

References:

[1] Ruehli, IEEE Transactions on Microwave Theory Technology 22 pp 216– (1974)
[2] Bellen, IEEE Transactions on Circuits and Systems–I: Fundamental Theory and Applications 46 pp 212– (1999)
[3] Bellen, Applied Numerical Mathematics 9 pp 321– (1992)
[4] , , , . Linear Matrix Inequalities in Systems and Control Theory. SIAM: Philadelphia, 1994. · Zbl 0816.93004 · doi:10.1137/1.9781611970777
[5] Han, IEEE Transactions on Automatic Control AC-48 pp 1629– (2003)
[6] Hu, BIT 35 pp 504– (1995)
[7] Li, Bulletin of Australian Mathematical Society 38 pp 339– (1998)
[8] Han, International Journal of Applied Mathematics and Computer Science 11 pp 965– (2001)
[9] Han, Automatica 38 pp 719– (2002)
[10] Han, Automatica 40 pp 1087– (2004)
[11] Han, Automatica 40 pp 1791– (2004)
[12] Lien, International Journal of Systems Science 32 pp 215– (2001)
[13] Park, International Journal of Systems Science 31 pp 961– (2000)
[14] Park, Journal of Computational and Applied Mathematics 136 pp 177– (2001)
[15] , , . Stability of Time-delay Systems. Birkhauser: Boston, 2003. · doi:10.1007/978-1-4612-0039-0
[16] Moon, International Journal of Control 74 pp 1447– (2001)
[17] Yakubovich, Vestnik Leningrad University, Series 1 13 pp 62– (1971)
[18] , . Introduction to Functional Differential Equation. Springer: New York, 1993. · doi:10.1007/978-1-4612-4342-7
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.