Robustness of continuous non‐smooth finite‐time Lyapunov control for two‐level quantum systems. Issue 16 (11th September 2020)

• Record Type: Journal Article
• Authors: Kuang, Sen; Guan, Xiaoke
• Is Part Of: IET control theory & applications. Volume 14:Issue 16(2020)
• Page Start: 2449
• Page End: 2454
• Publication Date: 2020-09-11
• Subjects: continuous systems -- stability -- Lyapunov methods -- perturbation techniques; real‐variable system -- perturbed system -- continuous nonsmooth finite‐time Lyapunov control -- two‐level quantum systems -- Lyapunov finite‐time stability theorems -- homogeneity theory; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2019.1156
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : The robustness of continuous non‐smooth Lyapunov control for two‐level quantum systems with uncertainties in the Hamiltonians is analysed in this study. The authors first transform a perturbed two‐level system into a real‐variable system by expressing the quantum state in terms of its complex exponential and then present two theorems to describe the behaviour of solutions of the perturbed system after a certain finite time by combining the Lyapunov and converse Lyapunov finite‐time stability theorems with the homogeneity theory. Numerical simulation experiments on a spin‐ 1 / 2 particle system show the effectiveness of the results obtained in this study.