Multi-Adding-Point Error Model and Conjecture About the Sufficient Condition of its Stability
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摘要: 提出多综合点误差模型及其孤立部分传递函数的概念,得到了所有孤立部分传递函数 都正实的充分必要条件,以此为基础,给出了关于系统稳定性充分条件的一个猜想,并证明了猜 想的一些推论.本文内容可以在参数辨识、自适应控制、状态自适应观测和神经网络稳定性分析 等问题中得到应用.Abstract: This paper deals with the stability analysis of the multi-adding-point error model. A new concept of isolated part transfer function is proposed. Necessary and sufficient conditions for all isolated part transfer functions to be positive real are obtained. Furthermore, a conjecture about the stability of the multi-adding-point error model is presented and some corollaries of the conjecture are proved. The results given in this paper can be used in parameter identification, adaptive control, state adaptive observation and stability analysis of neural network problems.
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Key words:
- Error model /
- multi-adding-point error model /
- nonlinearity /
- stability analysis
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