Stability of One Kind Complex-Valued System by Lyapunov Function with Impulsive Control Field  

作　　者：Wei Yang Wei Yang(School of Business, Shanghai Dianji University, Shanghai, China)

机构地区：[1]School of Business, Shanghai Dianji University, Shanghai, China

出　　处：《Journal of Applied Mathematics and Physics》2024年第11期3889-3896,共8页应用数学与应用物理（英文）

摘　　要：In this paper, we investigate one kind of complex-valued systems with an impulsive control field, where the complex-valued system is governed by the Schrödinger equation, which is used for quantum systems, etc. We study the convergence of the complex-valued system with impulsive control fields by one Lyapunov function based on the state distance and the invariant principle of impulsive systems. We propose new results for the mentioned complex-valued systems in the form of sufficient conditions and also present one numerical simulation to illustrate the effectiveness of the proposed control method.In this paper, we investigate one kind of complex-valued systems with an impulsive control field, where the complex-valued system is governed by the Schrödinger equation, which is used for quantum systems, etc. We study the convergence of the complex-valued system with impulsive control fields by one Lyapunov function based on the state distance and the invariant principle of impulsive systems. We propose new results for the mentioned complex-valued systems in the form of sufficient conditions and also present one numerical simulation to illustrate the effectiveness of the proposed control method.

关 键 词：Complex-Valued System Lyapunov Function STABILITY 

分 类 号：O17[理学—数学]