Symplectic Transformation Based Analytical and Numerical Methods for Linear Quadratic Control with Hard Terminal Constraints

DOI10.1137/090762853zbMath1244.49064OpenAlexW2061438531MaRDI QIDQ2903498

Mehran Mesbahi, Zhi-Gang Wu

Publication date: 10 August 2012

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090762853

zbMATH Keywords

linear time-varying systemsstructure-preserving numerical methodgenerating functions of Hamiltonian systemslinear quadratic (LQ) hard terminal controllerssymplectic (canonical) transformation

Mathematics Subject Classification ID

Application models in control theory (93C95) Linear systems in control theory (93C05) Transformations (93B17) Linear-quadratic optimal control problems (49N10) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

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