| 线性切换系统二次稳定性的充要条件 |
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| 引用本文： | 孙文安,赵军. 线性切换系统二次稳定性的充要条件[J]. 渤海大学学报(自然科学版), 2000, 0(4) |
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| 作者姓名： | 孙文安 赵军 |
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| 作者单位： | 大连大学计算中心!辽宁大连116622(孙文安)，东北大学信息科学与工程学院!辽宁沈阳110006(赵军) |
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| 摘 要： | 本文研究线性切换系统的二次稳定性问题。首次将二次稳定性问题等价地转化为约束非线性规划问题。利用 Kuhn- Tucker条件建立起由代数方程组和不等式组的解所给出的充分必要条件。著名的凸组合条件及线性系统的 Lyapunov方程均为这一条件的特例。
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| 关 键 词： | 线性切换系统 二次稳定性 Kuhn-Tucker条件 |
A Necessary and Sufficient Condition for the Quadratic Stability of Linear Switched Systems |
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| SUN Wen an. A Necessary and Sufficient Condition for the Quadratic Stability of Linear Switched Systems[J]. Journal of Bohai University:Natural Science Editio, 2000, 0(4) |
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| Authors: | SUN Wen an |
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| Abstract: | Quadratic stability problem of linear switched systems is studied in this paper.The problem is firstly transformed into an equivalent constraint nonlinear programming problem.Then,by means of the Kuhn Tucker condition,we derive a necessary and sufficient condition for the solvability of the problem,which consists of a set of algebraic equations and inequalities.The well Known Convex Combination condition and Lyapunov equations for linear systems are all the special cases of the results. |
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| Keywords: | linear switched systems quadratic stability Kuhn Tucker condition |
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