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The Heavy-Ball ODE with Time-Varying Damping: Persistence of Excitation and Uniform Asymptotic Stability

机译：具有时变阻尼的重球ODE：激发的持续性和一致的渐近稳定性

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We study the uniform asymptotic stability properties of the heavy-ball optimization dynamics with general time-varying damping. Unlike existing results in the literature, which have focused mainly on standard convergence results, we study a stronger limit

机译：我们研究了具有时变阻尼的重球优化动力学的一致渐近稳定性。与文献中主要关注标准收敛性结果的现有结果不同，我们研究了一个更严格的限制

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《Annual American Control Conference》|2020年|773-778|共6页
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Jorge I. Poveda; Andrew R. Teel;
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Heuristic algorithms; Asymptotic stability; Damping; Cost function; Robustness; Convergence;

机译：启发式算法渐近稳定性阻尼成本函数鲁棒性收敛;

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专利

1. Uniform asymptotic stability of time-varying damped harmonic oscillators [J] . Ishihara Kazuki, Sugie Jitsuro Proceedings of the American Mathematical Society. Series B . 2017,第4期

机译：时变阻尼谐振子的一致渐近稳定性
2. Asymptotic stability and uniform asymptotic stability for second-order linaer differential equations with damping [J] . 鬼塚政一, Masakazu Onitsuuka 数理解析研究所讲究录 . 2008,第1582期

机译：具有阻尼的二阶线性微分方程的渐近稳定性和一致渐近稳定性
3. Asymptotic stability and uniform asymptotic stability for second-order linaer differential equations with damping [J] . 鬼塚政一, Masakazu Onitsuuka 数理解析研究所讲究录 . 2008,第1582期

机译：用阻尼的二阶线性微分方程的渐近稳定性和均匀的渐近稳定性
4. The Heavy-Ball ODE with Time-Varying Damping: Persistence of Excitation and Uniform Asymptotic Stability [C] . Jorge I. Poveda, Andrew R. Teel American Control Conference . 2019

机译：具有时变阻尼的重球颂：激发持续性和均匀的渐近稳定性
5. RESPONSE OF LINEAR, VISCOUS DAMPED SYSTEMS TO EXCITATIONS HAVING TIME-VARYING FREQUENCY. [D] . CRONIN, DONALD LESLIE. 1966

机译：线性，粘性阻尼系统对具有时变频率的激励的响应。
6. Global asymptotic stability of complex-valued neural networks with additive time-varying delays [O] . K. Subramanian, P. Muthukumar 2017

机译：附加时变时滞复数值神经网络的全局渐近稳定性
7. Asymptotic stability and uniform asymptotic stability for second-order linear differential equations with damping (Modeling and Complex analysis for functional equations) [O] . 鬼塚政一 2008

机译：具有阻尼的二阶线性微分方程的渐近稳定性和一致渐近稳定性（功能方程的建模和复杂分析）
8. On the Uniform Asymptotic Stability of Certain Linear Time-Varying Differential Equations with Unbounded Coefficients. [R] . Morgan, A. P., Narendra, K. S. 1978

机译：一类具有无界系数的线性时变微分方程的一致渐近稳定性。

The Heavy-Ball ODE with Time-Varying Damping: Persistence of Excitation and Uniform Asymptotic Stability

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