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摘要: 基于线性矩阵不等式处理方法,研究了一类具有扇形非线性关联的时滞系统绝对稳 定性问题.导出了用一个线性矩阵不等式系统的可行性表示的绝对稳定性滞后依赖型条件,进 而,通过求解一组线性矩阵不等式,给出使得闭环系统绝对稳定的无记忆状态反馈控制律设计 方法,最后用例子验证了文中提出的结果.Abstract: The paper studies the absolute stability problem of a class of time-de]lay systems with nonlinearities satisfying a given sector condition. A delay-dependent sufficient condition for the absolute stability is derived and is expressed as the feasibility problem of a certain linear matrix inequality (LMI) system. Furthermore, a procedure to design state feedback absolutely stabilizing controllers is presented by solving a set of LMIs. Finally, examples are given to illustrate the proposed results.
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Key words:
- Delay /
- absolute stability /
- LMI /
- state feedback
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