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Chellaboina, V., Bhat, S.P. and Haddad, W.M. (2003) An Invariance Principle for Nonlinear Hybrid and Impulsive Dynamical Systems. Nonlinear Analysis: Theory, Methods & Applications, 53, 527-550.
https://doi.org/10.1016/s0362-546x(02)00316-4

has been cited by the following article:

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

  AUTHORS: Wei Yang

  KEYWORDS: Complex-Valued System, Lyapunov Function, Stability

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.11, November 27, 2024

  ABSTRACT: 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.