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3篇 您的检索式:作者名="Kit Ian KOU"
    题名 作者 年代 出处 被引量
1Controllability and Observability of Linear Quaternion-valued Systems显示文摘The aim of this paper is to define an extension of the controllability and observability for linear quaternion-valued systems(QVS).Some criteria for controllability and observability are derived,and the minimum norm control and duality theorem are also investigated.Compared with real-valuedor complex-valued linear systems,it is shown that the classical Caylay-Hamilton Theorem as well as Popov-Belevitch-Hautus(PBH)type controllability and observability test do not hold for linear QVs.Hence,a modified PBH type necessary condition is studied for the controllability and observability,respectively.Finally,some examples are given to illustrate the effectiveness of the obtained results.Bang Xin JIANG Yang LIU Kit Ian KOU Zhen WANG 2020Acta Mathematica Sinica,English Series2020,36,11:1
2Multi-Timescale Distributed Approach to Generalized-Nash-Equilibrium Seeking in Noncooperative Nonconvex Games显示文摘Dear Editor,The distributed generalized-Nash-equilibrium(GNE)seeking in noncooperative games with nonconvexity is the topic of this letter.Inspired by the sequential quadratic programming(SQP)method,a multi-timescale multi-agent system(MAS)is developed,and its convergence to a critical point of the game is proven.To illustrate the qualities and efficacy of the theoretical findings,a numerical example is elaborated.Banghua Huang Yang Liu Kit Ian Kou Weihua Gui 2024IEEE/CAA Journal of Automatica Sinica2024,11,3:0
3Sampling formulas for 2D quaternionic signals associated with various quaternion Fourier and linear canonical transforms显示文摘The main purpose of this paper is to study different types of sampling formulas of quaternionic functions,which are bandlimited under various quaternion Fourier and linear canonical transforms.We show that the quaternionic bandlimited functions can be reconstructed from their samples as well as the samples of their derivatives and Hilbert transforms.In addition,the relationships among different types of sampling formulas under various transforms are discussed.First,if the quaternionic function is bandlimited to a rectangle that is symmetric about the origin,then the sampling formulas under various quaternion Fourier transforms are identical.If this rectangle is not symmetric about the origin,then the sampling formulas under various quaternion Fourier transforms are different from each other.Second,using the relationship between the two-sided quaternion Fourier transform and the linear canonical transform,we derive sampling formulas under various quaternion linear canonical transforms.Third,truncation errors of these sampling formulas are estimated.Finally,some simulations are provided to show how the sampling formulas can be used in applications.Xiaoxiao Hu Dong CHENG Kit Ian KOU 2022Frontiers of Information Technology & Electronic Engineering2022,23,3:0
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