Stochastic Control for Intra-Region Probability Maximization of Multi-Machine Power Systems Based on the Quasi-Generalized Hamiltonian Theory [PDF]
Energies, 2019 With the penetration of renewable generation, electric vehicles and other random factors in power systems, the stochastic disturbances are increasing significantly, which are necessary to be handled for guarantying the security of systems.
Xue Lin, Lixia Sun, Ping Ju, Hongyu Li
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Energy spectrum and quantum phase transition of the coupled single spin and an infinitely coordinated Ising chain [PDF]
Beilstein Journal of NanotechnologyIn this work we consider a spin model composed of a single spin and connected to an infinitely coordinated Ising chain. Theoretical models of this type arise from various fields of theoretical physics, such as theory of open systems, quantum control, and
Seidali Seidov +2 more
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Research on Control Strategy of Hamiltonian Theory for Large Telescope Based on SAPMSM [PDF]
IEEE AccessThe azimuth axis drive and control of large telescopes based on Segmented Arc Permanent Magnet Synchronous Motor (SAPMSM) is a current research hotspot, and issues such as unknown parameters and external interference are important factors affecting its ...
Xiaoli Song, Zhaojin Cao
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Controlled invariance for hamiltonian systems [PDF]
, 1985 A notion of controlled invariance is developed which is suited to Hamiltonian control systems. This is done by replacing the controlled invariantdistribution, as used for general nonlinear control systems, by the controlled invariantfunction group. It is
Schaft, A.J. van der
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Analytical Approximation Methods for the Stabilizing Solution of the Hamilton–Jacobi Equation [PDF]
, 2007 In this paper, two methods for approximating the stabilizing solution of the Hamilton–Jacobi equation are proposed using symplectic geometry and a Hamiltonian perturbation technique as well as stable manifold theory.
21858 +3 more
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Lyapunov-based fixed-time stabilization control of quantum systems
Journal of Automation and Intelligence, 2022 In this paper, we consider the fixed-time stabilization control problem of quantum systems modeled by Schrödinger equations. Firstly, the Lyapunov-based fixed-time stability criterion is extended to finite-dimensional closed quantum systems in the form ...
Xiaolei Li, Changyun Wen, Jiange Wang
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An approximating method for the stabilizing solution of the Hamilton-Jacobi equation for integrable systems using Hamiltonian perturbation theory [PDF]
, 2006 In this report, a method for approximating the stabilizing solution of the Hamilton-Jacobi equation for integrable systems is proposed using symplectic geometry and a Hamiltonian perturbation technique.
Sakamoto, N., Schaft, A.J. van der
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Reports in Advances of Physical Sciences, 2023 Floquet–Magnus and Fer expansion (FE) schemes are used in nuclear magnetic resonance (NMR) for the calculation of effective Hamiltonians and propagators.
Eugene Stephane Mananga
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Engineering effective Hamiltonians
New Journal of Physics, 2019 In the field of quantum control, effective Hamiltonian engineering is a powerful tool that utilizes perturbation theory to mitigate or enhance the effect that a variation in the Hamiltonian has on the evolution of the system.
Holger Haas +3 more
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The Hamiltonian and Lagrangian Approaches to the Dynamics of Nonholonomic Systems [PDF]
, 1996 This paper compares the Hamiltonian approach to systems with nonholonomic constraints (see Weber [1982], Arnold [1988], and Bates and Sniatycki [1993], van der Schaft and Maschke [1994] and references therein) with the Lagrangian approach (see Koiller [
Koon, Wang Sang, Marsden, Jerrold E.
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