Automated derivation of optimal regulators for nonlinear systems by symbolic manipulation of Poisson series

DOI10.1007/BF00938446zbMath0544.93032OpenAlexW1986373748MaRDI QIDQ797536

Richard W. Longman, M. Kemal Ozgoren

Publication date: 1985

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00938446

zbMATH Keywords

Hamilton-Jacobi-Bellman equationLie seriesPoisson seriesHamiltonian boundary-value problemoptimal nonlinear feedback control

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Transformations (93B17) Control/observation systems governed by ordinary differential equations (93C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

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Cites Work

• A perturbation treatment for optimal slightly nonlinear systems with linear control and quadratic criteria
• Optimal Regulation of Nonlinear Dynamical Systems on a Finite Interval
• Canonical transformations depending on a small parameter
• Optimal Regulation of Nonlinear Dynamical Systems
• Expansion formulae in canonical transformations depending on a small parameter
• A new algorithm for the Lie transformation

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