The structural operator F and its role in the theory of retarded systems

DOI10.1016/0022-247X(80)90292-9zbMath0456.34041OpenAlexW4213006077MaRDI QIDQ1150799

Andrzej Manitius, Michel C. Delfour

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(80)90292-9

zbMATH Keywords

spectral theorylinear functional retarded differential equations

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) General theory of functional-differential equations (34K05) Ordinary differential operators (34L99)

Related Items

State space theory of linear time invariant systems with delays in state, control, and observation variables. I, II, Hamilton–Jacobi theory for hereditary control problems, Density of images of semigroup operators for linear neutral functional differential equations, Radius of approximate controllability of linear retarded systems under structured perturbations, Series expansions and small solutions for Volterra equations of convolution type, An algebraic characterization of closed small attainability subspaces of delay systems, Functional-differential equations in Sobolev spaces and related problems of spectral theory, Realization theory in Hilbert space, On structured distance to uncontrollability of general linear retarded systems, F-controllability and observability of linear retarded systems, Linear optimal control of systems with state and control variable delays, Optimal control of linear retarded systems to small solutions, Exact observability and controllability for linear neutral type systems, Disturbance decoupling and invariant subspaces for delay systems

Cites Work

• State theory of linear hereditary differential systems
• Completeness and F-completeness of eigenfunctions associated with retarded functional differential equations
• F-reduction of the operator Riccati equation for hereditary differential systems
• Small solutions of linear autonomous functional differential equations
• On Semigroups in Rⁿ X L^p Corresponding to Differential Equations with Delays
• On the Evolution of the State of Linear Differential Delay Equations in M²: Properties of the Generator
• Hereditary Control Problems: Numerical Methods Based on Averaging Approximations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item