Extended argument principle and integral design constraints Part I : A unified formula for classical results

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)22_Publication in policy or professional journal

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Original languageEnglish
Pages (from-to)4984-4989
Journal / PublicationProceedings of the IEEE Conference on Decision and Control
Publication statusPublished - 2000
Externally publishedYes


Title39th IEEE Confernce on Decision and Control (2000 IEEE CDC)
LocationSydney Convention and Exhibition Centre
Period12 - 15 December 2000


In this paper we study Bode and Poisson type integral relations. We call for attention to a link between the well-known argument principle and Bode and Poisson integrals, which seems to have been unnoticed previously. We show how various integral constraints may be unified under an extended version of the argument principle. This enables us to derive the classical Bode and Poisson integral relations in a simple manner, and further to discover new integral formulas of significance for analysis of control design limitation and tradeoff.