May 1, 1992

Infinite-dimensional Carleman linearization, the Lie series and optimal control of non-linear partial differential equations

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Abstract

The Carleman linearization and Lie series techniques are generalized to non-linear partial differential equations and applied to non-linear optimal control theory.

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Cite This Study

S.P. Banks (Fri,) studied this question.

synapsesocial.com/papers/6a111168a3e9d485de168848 https://doi.org/https://doi.org/10.1080/00207729208949241

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1Geometric Theory of Semilinear Parabolic Equations1981 · 6,750 citations
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3State-Space and Frequency-Domain Methods in the Control of Distributed Parameter Systems1984 · 49 citations
4State-Space and Frequency Domain Methods in the Control of Distributed Parameter Systems1983 · 59 citations
5Lie series and nonlinear ordinary differential equations1984 · 24 citations

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