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

DOI10.1080/00207729208949241zbMath0760.34009OpenAlexW2035419682MaRDI QIDQ3992163

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Publication date: 28 June 1992

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207729208949241

zbMATH Keywords

nonlinear differential equationsCarleman linearizationTaylor polynomialsoptimal control of nonlinear partial differential equationsLie series techniques

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Control problems involving ordinary differential equations (34H05) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Existence theories for optimal control problems involving partial differential equations (49J20)

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Cites Work

• On a class of suboptimal controls for infinite-dimensional bilinear systems
• Lie series and nonlinear ordinary differential equations
• Geometric theory of semilinear parabolic equations
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