The condition under which it is possible to find a single controller that stabilizes k single-input single-output linear time-invariant systems p/sub i/(s) (i=1,. . .,k) is investigated. The concept of avoidance in the complex plane is introduced and used to derive a sufficient condition for k systems to be simultaneously stabilizable. A method for constructing a simultaneous stabilizing controller is also provided and is illustrated by an example.
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机译：研究了可以找到稳定k个单输入单输出线性时不变系统p / sub i /（s）（i = 1，..，k）的单个控制器的条件。引入了在复平面中回避的概念，并将其用于导出足以使k个系统同时稳定的充分条件。还提供了一种用于构造同时稳定控制器的方法，并通过示例进行说明。
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