Infinite-dimensional Carleman linearization, the Lie series and optimal control of non-linear partial differential equations
- 1 May 1992
- journal article
- research article
- Published by Taylor & Francis Ltd in International Journal of Systems Science
- Vol. 23 (5), 663-675
- https://doi.org/10.1080/00207729208949241
Abstract
The Carleman linearization and Lie series techniques are generalized to non-linear partial differential equations and applied to non-linear optimal control theory.Keywords
This publication has 4 references indexed in Scilit:
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- On a class of suboptimal controls for infinite-dimensional bilinear systemsSystems & Control Letters, 1985
- Lie series and nonlinear ordinary differential equationsJournal of Mathematical Analysis and Applications, 1984
- Geometric Theory of Semilinear Parabolic EquationsPublished by Springer Science and Business Media LLC ,1981