同阶线性系统在Kharitonov空间的同时镇定
Simultaneous Stabilizatin in Kharitonov Space for Linear Systems With Same Orders
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摘要: 运用Kharitonov定理给出一个期望的闭环特征区间多项式,然后将同阶线性系统 的同时镇定问题化成一组线性不等式的求解,并给出求解该不等式组的线性规划法,讨论了 三种解的意义和性质.算例表明该方法的有效性.Abstract: According to Kharitonov theorem, an expected characteristic polynomial of the close-loop systems is given and the simultaneous stabilization problem of linear systems with same order is transformed into solving problem of a set of inequalities. And then a linear programing method for the inequalities is studied and third kinds of solutions of the problem and their properties are discussed. Examples demonstrate the effectiveness of the stabilization method.
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Key words:
- Simultaneous stabilization /
- linear programing /
- inequalities /
- interval polynomial
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