MIMO双线性系统稳定性研究的新方法
New Method of Study on Stability of MIMO Bilinear System
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摘要: 基于Volterra级数理论,计算出MIMO双线性系统的n阶冲激响应函数矩阵(或n阶 Volterra核矩阵).通过研究它的n阶冲激响应函数矩阵的性质,给出了一些简单的开环稳定性 判据;并深入研究了它们的闭环稳定性,给出了直接利用其子系统的开环稳定性来判别其闭环 系统稳定性的判据;最后,用仿真实例来验证其有效性.Abstract: Based on the theory of Volterra Series, the nth-order impulse response function matrix (or nth-order Volterra kernel matrix) is calculated. Through studying the properties of its nth-order impulse response function matrix, some simple stability criteria are given. Furthermore, its closed-loop stability is deeply discussed, and some criteria for using the open-loop stability of its subsystem to judge the closed-loop stability are proposed. Finally, the validity of these criteria is demonstrated by simulation examples.
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