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In this paper, we investigate a Lyapunov trajectory tracking design method that incorporates a Schrödinger equation with a dipole subterm and polarizability. Our findings suggest that the proposed control law can overcome the limitations of certain existing control laws that do not converge. By integrating a quadratic performance index, we introduce an optimal control law, which we subsequently analyze for stability and optimality. We also simulate the spin-1/2 particle system to illustrate our results. These findings are further validated through numerical illustrations involving a 3D, 5D system, and a spin-1/2 particle system.
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http://dx.doi.org/10.3390/e26110978 | DOI Listing |
Chaos
September 2025
Department of Physics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi 110016, India.
The absorption of laser energy by plasma is of paramount importance for various applications. Collisional and resonant processes are often invoked for this purpose. However, in some contexts (e.
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September 2025
Key Laboratory of Metallurgical Equipment and Control Technology of Ministry of Education, Wuhan University of Science and Technology, Wuhan, 430081, Hubei, China; Hubei Key Laboratory of Mechanical Transmission and Manufacturing Engineering, Wuhan University of Science and Technology, Wuhan, 430081
The autoloader is a key subsystem in modern main battle tanks, mainly responsible for ammunition transfer, loading, and resupply. However, it often suffers from uncertainties induced by base oscillations, leading to potential instability. While various control strategies have been proposed, most rely on prior knowledge of such oscillations.
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August 2025
Ltd.of China Power Engineering Consulting Group, Northeast Electric Power Design Institute Co, 130012, Changchun, China. Electronic address:
This paper proposes an event-triggered optimal control method for modular reconfigurable manipulators(MRMs) based on model predictive control(MPC). By using a decentralized optimization method based on MPC, the optimal control problem of MRMs is transformed into independent optimization tasks for each module, while a global MPC optimization framework is utilized to coordinate the modules, ultimately optimizing the overall performance of the entire system. In order to avoid the safety hazards caused by excessive torque, hyperbolic tangent function is added to constrain the input torque.
View Article and Find Full Text PDFEntropy (Basel)
August 2025
Research Center for Astronomy and Applied Mathematics of the Academy of Athens, Soranou Efessiou 4, GR-11527 Athens, Greece.
We study in detail the critical points of Bohmian flow, both in the inertial frame of reference (Y-points) and in the frames centered at the moving nodal points of the guiding wavefunction (X-points), and analyze their role in the onset of chaos in a system of two entangled qubits. We find the distances between these critical points and a moving Bohmian particle at varying levels of entanglement, with particular emphasis on the times at which chaos arises. Then, we find why some trajectories are ordered, without any chaos.
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August 2025
This article addresses the distributed prescribed-time convex optimization (DPTCO) problem for high-order nonlinear multiagent systems (MASs) under undirected connected graphs. A cascade design framework is proposed that divides the DPTCO implementation into distributed optimal trajectory generator design and local reference trajectory tracking controller design. The DPTCO problem is then transformed into the prescribed-time stabilization problem of a cascaded system.
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