Approximating distributional behaviour of LTI differential systems using Gaussian function and its derivatives

DOI10.1080/00207179.2012.667881zbMath1282.93267OpenAlexW2005890753MaRDI QIDQ5745585

Athanasios A. Pantelous, George D. Halikias, Nicos Karcanias

Publication date: 30 January 2014

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

Full work available at URL: https://openaccess.city.ac.uk/id/eprint/7295/1/%28240%29%20Approximation_Impulses_4%2001-06-11.pdf

zbMATH Keywords

linear systemsapproximating distributional behaviourGaussian function and its derivatives

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Ordinary differential equations with impulses (34A37) Functional-differential equations with impulses (34K45) Data smoothing in stochastic control theory (93E14) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• On the solutions of linear differential equations with singular coefficients
• Optimally conditioned Vandermonde matrices
• Zero time adjustment of initial conditions and its relationship to controllability subspaces
• Derivatives of the Dirac delta function by explicit construction of sequences
• Matrix pencil characterization of almost ( A, Z) -invariant subspaces : A classification of geometric concepts
• Descriptor variable systems and optimal state regulation
• Almost invariant subspaces: An approach to high gain feedback design--Part I: Almost controlled invariant subspaces
• Paradigms and puzzles in the theory of dynamical systems
• Approximating the Dirac distribution for Fourier analysis

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