Necessary and sufficient conditions for robust oscillatory stability

DOI10.1080/00207720601114170zbMath1130.93044OpenAlexW2021897785MaRDI QIDQ3437489

Yong Xiang, Min Tan, Wensheng Yu, Nong Gu

Publication date: 9 May 2007

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207720601114170

zbMATH Keywords

uncertain systemcomplete discrimination systemdiamond polynomial familyextreme point verificationinterval polynomial familyrobust oscillatory stability

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Robust stability (93D09) Control problems for functional-differential equations (34K35) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• Unnamed Item
• Root locations of an entire polytope of polynomials: It suffices to check the edges
• A dual result to Kharitonov's theorem
• An extreme point result of robust stability of a diamond of polynomials
• Necessary and sufficient conditions for robust oscillation

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