Application of Stability Criteria for Complex-Valued Impulsive System by Lyapunov Function  

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：《International Journal of Modern Nonlinear Theory and Application》2024年第4期45-52,共8页现代非线性理论与应用(英文)

摘　　要：Stability criteria for the complex-valued impulsive system are applied widely in many fields, such as quantum systems, which have been studied in recent decades. In this paper, I investigate the Lyapunov control of finite dimensional complex-valued systems with impulsive control fields, where the studied complex-valued systems are governed by the Schrödinger equation and can be used in quantum systems. By one Lyapunov function based on state error and the invariant principle of impulsive systems, I study the convergence of complex-valued systems with impulsive control fields and propose new results for the mentioned complex-valued systems in the form of sufficient conditions. A numerical simulation to validate the proposed control method is provided.Stability criteria for the complex-valued impulsive system are applied widely in many fields, such as quantum systems, which have been studied in recent decades. In this paper, I investigate the Lyapunov control of finite dimensional complex-valued systems with impulsive control fields, where the studied complex-valued systems are governed by the Schrödinger equation and can be used in quantum systems. By one Lyapunov function based on state error and the invariant principle of impulsive systems, I study the convergence of complex-valued systems with impulsive control fields and propose new results for the mentioned complex-valued systems in the form of sufficient conditions. A numerical simulation to validate the proposed control method is provided.

关 键 词：Complex-Valued Systems STABILITY Lyapunov Function Impulsive Control Field 

分 类 号：O17[理学—数学]