“广义双线性系统”:一类非线性离散系统

Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94 Pub Date : 1994-12-01 DOI:10.1109/ISCAS.1994.408935

T. Bose, K. S. Joo

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引用次数: 2

摘要

提出了一类新的非线性离散系统，称为“广义双线性系统(GBLS)”。众所周知的双线性系统是该系统的一个特殊类别，因此得名。研究了有界输入有界输出(BIBO)稳定性问题。证明了GBLS是一类特殊的线性位移变系统。建立了LSV系统稳定性的三个不同的充分条件。其中两个条件可以非常直接地用于监测用作自适应滤波器的GBLS的稳定性。

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The "generalized bilinear system" : a class of nonlinear discrete systems

A new class of nonlinear discrete-time systems is formulated and called the "Generalized Bilinear System (GBLS)". The well known bilinear system is a special class of this system, and hence the reason for the name. The GBLS is investigated for bounded input bounded output (BIBO) stability. It is shown that the GBLS is a special class of linear shift variant (LSV) systems. Three different sufficient conditions are established for the stability of LSV systems. Two of these conditions can be used in a very straightforward manner for monitoring the stability of a GBLS used as an adaptive filter.<>

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Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94

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