Work

Quantum Control Design by Lyapunov Trajectory Tracking and Optimal Control

Year: 2024

Type: article

Abstract: 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.

Source: Entropy

DOI: 10.3390/e26110978

Authors: Hongli Yang, Guohui Yu, Ivan Ganchev Ivanov

Institutions: Qingdao Huanghai University, Shandong University of Science and Technology, Sofia University "St. Kliment Ohridski"

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

OpenAlex ID: W4404417871

FWCI:

Cites: 32

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Related to: 10