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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Stokes-Dirac structures for distributed parameter port-Hamiltonian systems: An analytical viewpoint [PDF]
Communications in Analysis and Mechanics, 2023 In this paper, we prove that a large class of linear evolution partial differential equations defines a Stokes-Dirac structure over Hilbert spaces. To do so, the theory of boundary control system is employed.
A. Brugnoli, Ghislain Haine, D. Matignon
semanticscholar +1 more source
Representation of Hamilton-Jacobi Equation in Optimal Control Theory with Compact Control Set [PDF]
SIAM Journal of Control and Optimization, 2018 In this paper we study the existence of sufficiently regular representation of Hamilton-Jacobi equation in optimal control theory with the compact control set.
A. Misztela
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Optimal fluctuations and the control of chaos. [PDF]
, 2002 The energy-optimal migration of a chaotic oscillator from one attractor to another coexisting attractor is investigated via an analogy between the Hamiltonian theory of fluctuations and Hamiltonian formulation of the control problem.
Beri, S. +4 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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Phase-Space Modeling and Control of Robots in the Screw Theory Framework Using Geometric Algebra
Mathematics, 2023 The following paper talks about the dynamic modeling and control of robot manipulators using Hamilton’s equations in the screw theory framework. The difference between the proposed work with diverse methods in the literature is the ease of obtaining the ...
Jesús Alfonso Medrano-Hermosillo +3 more
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New results for time reversed symplectic dynamic systems and quadratic functionals
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, we examine time scale symplectic (or Hamiltonian) systems and the associated quadratic functionals which contain a forward shift in the time variable.
Roman Simon Hilscher, Petr Zemanek
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Efficient Markets and Contingent Claims Valuation: An Information Theoretic Approach
Entropy, 2020 This research article shows how the pricing of derivative securities can be seen from the context of stochastic optimal control theory and information theory.
Jussi Lindgren
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Geometric Modeling for Control of Thermodynamic Systems
Entropy, 2023 This paper discusses the way that energy and entropy can be regarded as storage functions with respect to supply rates corresponding to the power and thermal ports of the thermodynamic system. Then, this research demonstrates how the factorization of the
Arjan van der Schaft
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Biexciton in Strongly Oblate Ellipsoidal Quantum Dot with Relativistic Corrections [PDF]
Journal of Optoelectronical NanostructuresRecent progress in high-technology equipment enables the fabrication of quantum dots such as GaAs, and GaAlAs confining a finite number of excitons and allowing for control of the properties of quantum dots.
Arezu Jahanshir, Ekwevugbe Omugbe
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