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最小Lipschiz常数及其在稳定邻域估计中的应用
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作者 顾恩国 武书彦 《河南科学》 2007年第2期183-187,共5页
引入最小Lipschiz常数结合极坐标变换提出了一种新的估计最大吸引域半径的方法.并将该方法应用到混沌控制中的稳定邻域估计.以混沌的Henon和Ikeda映射动力系统为例,说明了所给算法的实施方法,并给出了相应的数值模拟以证明方法的有效性.
关键词 最小Lipschiz常数 控制离散混沌动力系统 目标的稳定邻域 反馈增益矩阵
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非均质Euler-bernoulli梁的局部反馈定问题 被引量:2
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作者 闫庆旭 侯瑞鸿 +1 位作者 冯德兴 齐剑冷 《自动化学报》 EI CSCD 北大核心 2005年第5期772-778,共7页
In this article, we study the locally distributed feedback stabilization problem of a nonuniform Euler-Bernoulli beam. Firstly, using the semi-group theory, we establish the wellposedness of the associated closed loop... In this article, we study the locally distributed feedback stabilization problem of a nonuniform Euler-Bernoulli beam. Firstly, using the semi-group theory, we establish the wellposedness of the associated closed loop system. Then by proving the uniqueness of the solution to a related ordinary differential equation, we derive the asymptotic stability of the closed loop system. Finally, by means of the piecewise multiplier method, we prove that, by either one distributed force feedback or a distributed moment feedback control, the closed loop system can be exponentially stabilized. 展开更多
关键词 EULER-BERNOULLI梁 非均质分布 局部反馈 稳定性 线性半群 分段多项式
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Stabilization of Nonuniform Euler-Bernoulli Beam with Locally Distributed Feedbacks
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作者 Xian-bing CAO Qing-xu YAN 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2012年第1期131-138,共8页
In this article, we study the stabilization problem of a nonuniform Euler-Bernoulli beam with locally distributed feedbacks. Firstly, using the semi-group theory, we establish the well-posedness of the associated clos... In this article, we study the stabilization problem of a nonuniform Euler-Bernoulli beam with locally distributed feedbacks. Firstly, using the semi-group theory, we establish the well-posedness of the associated closed loop system. Then by proving the uniqueness of the solution of a related ordinary differential equations, we derive the asymptotic stability of the closed loop system. Finally, by means of the piecewise frequency domain multiplier method, we prove that the corresponding closed loop system can be exponentially stabilized by only one of the two distributed feedback controls proposed in this paper. 展开更多
关键词 nonuniform Euler-Bernoulli beam linear locally distributed feedback control linear semigroup exponential stability piecewise multiplier method
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