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自动化学报 2002
MULTI-ADDING-POINT ERROR MODEL AND CONJECTURE ABOUTTHE SUFFICIENT CONDITION OF ITS STABILITY
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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.