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We revisit the method of Carleman linearization for systems of ordinary differential equations with polynomial right-hand sides.
Application de la théorie des équations intégrales linéaires aux systèmes d’équations différentielles non linéaires
T. Carleman · 1932
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On the theory of infinite systems of differential equations and their application to the theory of stochastic processes and the perturbation theory of quantum mechanics
N. Arley and V. Borchsenius · 1944
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The boundedness of solutions of infinite systems of linear differential equations
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Error bounds for the truncation of infinite linear differential systems
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An iterative method with truncation for infinite linear systems
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Nonlinear dynamical systems and Carleman linearization
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Carleman linearization of linearly observable polynomial systems
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Carleman linearization for control and for state and disturbance estimation of nonlinear dynamical processes
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Matrix calculus and Kronecker product: a practical approach to linear and multilinear algebra
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