Continuity of dynamical systems: A system theoretic approach

DOI10.1007/BF02551406zbMath0657.93011OpenAlexW2083412220MaRDI QIDQ1111498

Johannes W. Nieuwenhuis, Jan C. Willems

Publication date: 1988

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02551406

zbMATH Keywords

convergencetime-invariantautoregressive linear equationstime-invariant linear discrete-time systems

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Discrete-time control/observation systems (93C55) Geometric methods (93B27) Linear systems in control theory (93C05) Algebraic methods (93B25)

Related Items

Linear dynamical system: compactness theorem ⋮ Continuity of the solution set to a linear PDE with constant coefficients ⋮ Continuous state representations for AR systems ⋮ Continuous dependence of linear differential systems on polynomial modules ⋮ Continuity of dynamical systems: The continuous-time case ⋮ More about continuity of dynamical systems ⋮ The Generic Degree of Autonomy ⋮ On continuity and consistency of \(\ell_{\infty}\) optimal models

Cites Work

• From time series to linear system. I: Finite dimensional linear time invariant systems
• Convergence of Closed Subsets in a Topological Space
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