Abstract
Firstly,the absolute stability problems of the SIMO and MISO systems with several nonlinear characteristics are analyzed.The difficulty of using the known frequency domain theorems to solve the above problems is presented. Secondly,a conjecture about the stability for these systems is proposed based on the sufficient and necessary condition of the isolated transfer function being positive real.When the zeros and poles of the transfer functions lie in the imaginary axis,a known conclusion is derived from the conjecture;while the zeros and poles are on the real axis,a new result is obtained and is proved in this note.Finally,according to the conjecture,an example with poles existing on the complex plane is presented,which is not only interesting but also challenging.
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