An Oscillation Theorem for Self-Adjoint Differential Systems and the Rayleigh Principle for Quadratic Functionals

DOI10.1112/JLMS/51.2.401zbMath0823.93025OpenAlexW2054529735MaRDI QIDQ4842053

Werner Kratz

Publication date: 23 October 1995

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/51.2.401

zbMATH Keywords

controllablequadratic functionalseigenvalue problemsoscillation theoremRayleigh principleRiccati matrix equationsself-adjoint linear systemsstrongly observable

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Eigenvalue problems (93B60) Linear-quadratic optimal control problems (49N10) General spectral theory of ordinary differential operators (34L05) Control/observation systems in abstract spaces (93C25)

Related Items (4)

Characterization of strong observability and construction of an observer ⋮ Rayleigh principle for linear Hamiltonian systems without controllability ⋮ Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter ⋮ On the definiteness of quadratic functionals

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