A system theoretic representation of mechanical systems. I. Decomposition of a mechanical system into a hierarchy of orthogonal stationary linear dynamical systems

DOI10.1063/1.523622zbMath0432.70024OpenAlexW2035365759MaRDI QIDQ3870378

D. K. Saraswati, H. Primas

Publication date: 1978

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.523622

zbMATH Keywords

Liouville equationtransfer function matrixprojection operatorLiouville spaceLiouvillianmathematical system theorylinear time-invariant input-output systemstationary linear dynamical system

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) General theory of ordinary differential operators (47E05) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items (1)

A system theoretic representation of mechanical systems. II. Stochastic interpretation

Cites Work

• Analytic vectors
• Partial isometries
• The decay-scattering system
• Orthogonalization Procedures and the Localization of Wannier Functions
• Mathematical Description of Linear Dynamical Systems
• On the projection of a selfadjoint operator

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