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Moment matching for linear port-Hamiltonian systems
2009 European Control Conference (ECC), 2009Abstract within PDF.
Polyuga, Rostyslav V, van der Schaft, AJ
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Discrete Linear Hamiltonian Systems
1996This chapter is an introduction to Martin Bohner’s approach to the discrete linear Hamiltonian system $$\begin{array}{*{20}{c}} {\Delta y\left( t \right) = A\left( t \right)y\left( {t + 1} \right) + B\left( t \right)z\left( t \right)} \\ {\Delta z\left( t \right) = C\left( t \right)y\left( {t + 1} \right) - A*\left( t \right)z\left( t \right ...
Calvin D. Ahlbrandt, Allan C. Peterson
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Moment matching for linear port Hamiltonian systems
IEEE Conference on Decision and Control and European Control Conference, 2011The problem of moment matching with preservation of port Hamiltonian structure is tackled. Based on the time-domain approach to linear moment matching, we characterize the (subset of) port Hamiltonian models from the set of parameterized models that match the moments of a given port Hamiltonian system, at a set of finite points.
Tudor Corneliu Ionescu +1 more
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Theorem on linearized Hamiltonian systems
Journal of Mathematical Physics, 1985Many nonlinear field equations can be written in Hamiltonian form. Thus the equation ∂tu=K(u) can be written ∂tu =[u, H], where H is an appropriate functional and [ , ] is a Poisson bracket. Frequently one is interested in the solution of the equation linearized about a given solution, i.e., the equation ∂t τ=K′(τ), where K′(τ)=(d/dε) K(u+ετ)‖ε=0.
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Nonautonomous Linear Hamiltonian Systems
2016In this chapter, the framework of analysis of the book is described, and the many foundational facts required for this analysis are stated. The first two sections present fundamental notions and properties of topological dynamics and ergodic theory, as well as basic results concerning spaces of matrices, the Grassmannian and Lagrangian manifolds, and ...
Russell Johnson +4 more
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Linearized structures of lagrangian, hamiltonian, and quasi-hamiltonian systems
Physics Letters A, 1986Abstract Linearized structures are found for general lagrangian, hamiltonian, and quasi-hamiltonian systems, as well as for Lax and zero-curvature representations.
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Regular Linear Hamiltonian Systems
2002Examination of systems of differential equations began in the early 1900’s with the work of G. D. Birkhoff and R. E. Langer (see [2] for example.), R. L. Wilder and L. Schlesinger. G. A. Bliss [3] in 1926 seems to have been the first to discuss regular, self-adjoint differential systems.
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