The geometry of indefinite J-spaces and stability behavior of linear systems

DOI10.1016/0022-0396(78)90081-5zbMath0392.34034OpenAlexW2009507889MaRDI QIDQ1251755

Kuo-Liang Chiou

Publication date: 1978

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(78)90081-5

zbMATH Keywords

Geometry of Indefinite J-SpacesHamiltonian SystemMonodromy OperatorNeigavz's CriteriumStability Behavior of Linear SystemsV.B.LidskiI's Criterion

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Stability of solutions to ordinary differential equations (34D20) Stability theory for smooth dynamical systems (37C75)

Cites Work

• Survey of works on conditions of stability of the trivial solution of a system of linear differential equations with periodic coefficients
• On the structure of the regions of stability of linear canonical systems of differential equations with periodic coefficients
• The Geometry of IndefiniteJ-Spaces and Strong Stability Criteria of Canonical Differential Equations with Periodic Coefficients
• Lie Theory and Control Systems Defined on Spheres
• Mathematical Description of Linear Dynamical Systems
• On the stability of linear canonical systems with periodic coefficients
• On a Liapounoff Criterion of Stability
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