加性哈氏定理与乘性哈氏定理

Addition and multiplication kharitonov'theorems

利用极值思想与数值计算技术研究了复杂摄动情况下哈氏定理的推广问题 .为简化这类系统的鲁棒稳定性判别条件 ,把哈氏定理分别推广成加性哈氏定理与乘性哈氏定理 .所获结果虽然失去了必要性 ,但却获得了可计算性 .同时证明了将极值思想与数值计算技术结合起来解决当前的系统鲁棒性问题 。

The extension problems of Kharitonov's Theorem are developed under the cases of complex perturbations with the extremum idea and the numerical computer technology. The addition and multiplication Kharitonov's Theorems are gained for the simple conditions. although the necessity of the result was lost, the calculability was achieved. The use of extremum idea with the numerical computer technology can get rid of the crisis resulting from the traditional mathematics in developing system robustness which separates the numerical computer technology in methodology.