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Passivity-based control of spatially discretized port-Hamiltonian system
IFAC Proceedings Volumes, 2010Abstract The main contribution of this paper is a procedure for the passivity-based control of high-order port-Hamiltonian systems obtained from the spatial discretization of infinite dimensional dynamics. Beside the intrinsic difficulties related to the large number of state variables, the finite element model is generally given in terms of a Dirac ...
MACCHELLI, ALESSANDRO +1 more
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Hidden information in Hamiltonian systems with discrete weights
Physical Review A, 1992Statistical mechanics is applied to estimate the maximal capacity per weight (α c ) of a network consisting of N binary units and NC binary weights, where C is the average connectivity. For some range of η, which measures the average correlation between J ij and J ji , the replica-symmetric solution gives the exact α c , where in the symmetric limit ...
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Discrete IDA-PBC design for 2D port-Hamiltonian systems
IFAC Proceedings Volumes, 2013We address the discrete-time passivity-based control laws synthesis within port-Hamiltonian framework. We focus on IDA-PBC design for canonical port-Hamiltonian systems with separable energy being quadratic in momentum. For this class of systems, we define a discrete Hamiltonian dynamics that exactly satisfies a discrete energy balance.
Aoues, Saïd +2 more
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Periodic and subharmonic solutions for superquadratic discrete Hamiltonian systems
Nonlinear Analysis: Theory, Methods & Applications, 2003Some results are obtained for the existence and subharmonic solutions to discrete Hamiltonian systems \[ \begin{aligned}\Delta x_1(n) &= -H_{x_2}(n, x_1(n+1), x_2(n)),\\ \Delta x_2(u) &= H_{x_1}(n, x_1(n+1), x_2(n))\end{aligned}\tag{1} \] by using critical point theory, where \(x_1,x_2\in \mathbb{R}^d\), \(H\in C^1(\mathbb{R}\times \mathbb{R}^d\times ...
Guo, Zhiming, Yu, Jianshe
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Control Design for a Class of Discrete-Time Port-Hamiltonian Systems
IEEE Transactions on Automatic Control, 2023Alessandro Macchelli
exaly
Discrete-time port-Hamiltonian systems: A definition based on symplectic integration
Systems and Control Letters, 2019Paul Kotyczka, Laurent Lefèvre
exaly
Construction of discrete-time models for port-controlled Hamiltonian systems with applications
Systems and Control Letters, 2006Alessandro Astolfi
exaly
Invariance of deficiency indices under perturbation for discrete Hamiltonian systems
Journal of Difference Equations and Applications, 2013Zhaowen Zheng
exaly