Identification of generic stable dynamical systems taking a nonlinear differential approach

DOI10.3934/dcdsb.2018175zbMath1405.93079OpenAlexW2804934707WikidataQ129737281 ScholiaQ129737281MaRDI QIDQ1756895

Mahdi Khajeh Salehani

Publication date: 27 December 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018175

zbMATH Keywords

Routh-Hurwitz criteriongeneric stable dynamical systemHardy-Hutchinson criterionmonic characteristic polynomialnonlinear differential approach

Mathematics Subject Classification ID

System identification (93B30) Nonlinear systems in control theory (93C10) Application models in control theory (93C95) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability of solutions to ordinary differential equations (34D20) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

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• Comment on “Nonlinear differential algorithm to compute all the zeros of a generic polynomial” [J. Math. Phys. 57, 083508 (2016)]
• Stability, Control, and Computation for Time-Delay Systems
• Liapunov’s Direct Method and the Number of Zeros with Positive Real Parts of a Polynomial with Constant Complex Coefficients
• Über den Zusammenhang zwischen den Routhschen und den Hurwitzschen Stabilitätskriterien
• Bemerkung zu einem Satze von Hurwitz

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