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A Criterion for Robust Stability with Respect to Parametric Uncertainties Modeled by Multiplicative White Noise with Unknown Intensity, with Applications to Stability of Neural Networks

机译：关于由不确定强度乘以白噪声建模的参数不确定性的鲁棒稳定性的准则，及其在神经网络稳定性中的应用

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In the present paper a robust stabilization problem of continuous-time linear dynamic systems with Markov jumps and corrupted with multiplicative (state-dependent) white noise perturbations is considered. The robustness analysis is performed with respect to the intensity of the white noises. It is proved that the robustness radius depends on the solution of an algebraic system of coupled Lyapunov matrix equations.

机译：在本文中，考虑了具有马尔可夫跳变并被乘性（取决于状态）的白噪声扰动破坏的连续时间线性动力系统的鲁棒镇定问题。针对白噪声的强度执行鲁棒性分析。证明了鲁棒性半径取决于耦合的Lyapunov矩阵方程的代数系统的解。

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《IFIP TC 7 conference on system modeling and optimization》|2016年|250-260|共11页
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Vasile Dragan; Adrian-Mihail Stoica; Toader Morozan;
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Stochastic systems; Markovian jumps; Multiplicative white noise; Robust stability; Lyapunov operators;

机译：随机系统;马尔可夫跳跃;乘性白噪声;稳健性; Lyapunov算子;

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专利

1. Robust stability analysis for Markovian jumping stochastic neural networks with mode-dependent time-varying interval delay and multiplicative noise [J] . Zhang Hua-Guang, Fu Jie, Ma Tie-Dong, 中国物理：英文版 . 2009,第008期

机译：具有模式相关时变间隔时滞和乘性噪声的马尔可夫跳跃随机神经网络的鲁棒稳定性分析
2. Robust stability and instability of biochemical networks with parametric uncertainty [J] . Steffen Waldherr, Frank Allgower Automatica . 2011,第6期

机译：具有参数不确定性的生化网络的鲁棒稳定性和不稳定性
3. Robust stability analysis of stochastic delayed genetic regulatory networks with polytopic uncertainties and linear fractional parametric uncertainties [J] . Wenqin Wang, Sing Kiong Nguang, Shouming Zhong, Communications in Nonlinear Science and Numerical Simulation . 2014,第5期

机译：具有多主题不确定性和线性分数参数不确定性的随机时滞遗传调控网络的鲁棒稳定性分析
4. A Criterion for Robust Stability with Respect to Parametric Uncertainties Modeled by Multiplicative White Noise with Unknown Intensity, with Applications to Stability of Neural Networks [C] . Vasile Dragan, Adrian-Mihail Stoica, Toader Morozan IFIP TC 7 conference on system modeling and optimization . 2016

机译：通过具有未知强度的乘法白噪声建模的参数不确定性，具有未知强度的稳定性不确定性的标准，应用于神经网络的稳定性
5. Robust stability analysis and controller synthesis for systems with parametric uncertainties. [D] . Ji, Baowei. 2004

机译：具有参数不确定性的系统的鲁棒稳定性分析和控制器综合。
6. Linear systems with unstructured multiplicative uncertainty: Modeling and robust stability analysis [O] . Radek Matušů, Bilal Şenol, Celaleddin Yeroğlu 2011

机译：具有非结构化乘法不确定性的线性系统：建模和鲁棒稳定性分析
7. A Criterion for Robust Stability with Respect to Parametric Uncertainties Modeled by Multiplicative White Noise with Unknown Intensity, with Applications to Stability of Neural Networks [O] . Dragan, Vasile, Stoica, Adrian-Mihail, Morozan, Toader 2015

机译：关于以不确定强度乘以白噪声建模的参数不确定性的鲁棒稳定性的准则，及其在神经网络稳定性中的应用
8. Stability Robustness with Respect to LTV Uncertainties [R] . Meinsma, G., Iwasaki, T., Fu, M. 1998

机译：关于LTV不确定性的稳定鲁棒性

A Criterion for Robust Stability with Respect to Parametric Uncertainties Modeled by Multiplicative White Noise with Unknown Intensity, with Applications to Stability of Neural Networks

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