可以证明多模型自适应控制器能够保证闭环系统是输入输出有界稳定的。
The closed-loop system is proved to be bounded-input and bounded-output stable when the multiple model adaptive controller is used.
同时证明，对于已知有界参考输入，多模型自适应控制可以保证闭环系统输入输出稳定，输出渐进跟踪设定值。
To the known bounded reference input trajectory, it can be proved the closed-loop is BIBO stable, and the output will track the reference input asymptotically.
借助于L 2空间上算子的可逆性及有界性，给出了输入输出框架下系统类梯度性的讨论。
By using the invertibility and boundedness of the operators in L2 space, the discussion of gradient-like of the system characterized by input output description is given.
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