Methods for the numerical integration of Hamiltonian systems

DOI10.1007/BF02523123zbMath0820.93022MaRDI QIDQ1804985

John J. Hench, Charles S. Kenney, Alan J. Laub

Publication date: 14 September 1995

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

zbMATH Keywords

time-dependent

Mathematics Subject Classification ID

Related Items (5)

Robust control of the Hill's problem with drag ⋮ A novel extended precise integration method based on Fourier series expansion for the H₂-norm of linear time-varying periodic systems ⋮ A numerical evaluation of solvers for the periodic Riccati differential equation ⋮ H₂-norm computation of linear time-varying periodic systems via the periodic Lyapunov differential equation ⋮ Robust control of the circular restricted three-body problem with drag

Cites Work

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• A symplectic integration algorithm for separable Hamiltonian functions
• Solving linear ordinary differential equations by exponentials of iterated commutators
• Integrators for Lie-Poisson dynamical systems
• The Riccati equation
• Symplectic integration of Hamiltonian systems
• Diagonal Padé Approximations for Initial Value Problems
• Numerical Integration of the Differential Riccati Equation and Some Related Issues
• Periodic equilibria for matrix riccati equations^‡
• Partitioned Ricatti solutions and integration-free doubling algorithms
• Nineteen Dubious Ways to Compute the Exponential of a Matrix
• Periodic solutions of matrix Riccati equations with detectability and stabilizability
• A contribution to matrix quadratic equations
• On the exponential solution of differential equations for a linear operator

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