Stability and controllability

DOI10.1080/00207178308933125zbMath0521.93048OpenAlexW1970207925MaRDI QIDQ3671852

Biswa Nath Datta

Publication date: 1983

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178308933125

zbMATH Keywords

inertia of a matrixstability of linear systemscontrollability test

Mathematics Subject Classification ID

Controllability (93B05) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Stability of solutions to ordinary differential equations (34D20) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Model systems in control theory (93C99)

Cites Work

• The Lyapunov matric equation SA+A*S=S*B*BS
• On the Routh-Hurwitz-Fujiwara and the Schur-Cohn-Fujiwara theorems for the root-separation problem
• Inertia theorems for matrices, controllability, and linear vibrations
• Schwarz matrix properties for continuous and discrete time systems
• A Generalization of the Inertia Theorem
• Application of the Second Method of Lyapunov to the Proof of the Markov Stability Criterion

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