| 具有滞后耦合特性的线性随机大系统的时滞无关均方稳定性* |
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| 引用本文： | 邓飞其,刘永清,冯昭枢. 具有滞后耦合特性的线性随机大系统的时滞无关均方稳定性*[J]. 控制理论与应用, 1996, 13(1): 30-35 |
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| 作者姓名： | 邓飞其 刘永清 冯昭枢 |
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| 作者单位： | 华南理工大学自动化系 |
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| 基金项目： | 霍英东高校青年教师基金 |
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| 摘 要： | 本文研究具有滞后耦合特性的时不变线性Ｉｔｏ随机大系统的稳定性，得到了大系统平衡态滞后无关的均方渐近稳定性代数判据．文中所考虑的子系统是随机子系统，对它们的假设正好是它们均方渐近稳定的充要条件．另外，文中采用的Ｌｙａｐｕｎｏｖ泛函是确定型的Ｌｙａｐｕｎｏｖ泛函．
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| 关 键 词： | 随机系统；滞后大系统；均方稳定性 |
| 收稿时间： | 1994-11-11 |
| 修稿时间： | 1995-06-20 |
Mean-Square Stability Independence of Delays of Large-Scale Linear Stochastic Systems with Delayed Couplings |
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| DENG Feiqi, LIU Yongqing and FENG Zhaoshu. Mean-Square Stability Independence of Delays of Large-Scale Linear Stochastic Systems with Delayed Couplings[J]. Control Theory & Applications, 1996, 13(1): 30-35 |
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| Authors: | DENG Feiqi LIU Yongqing FENG Zhaoshu |
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| Abstract: | In this paper,stability of time-invariant large-scale linear Ito stochastic systems with delayed couplings is investigated,some algebraic criteria for mean-square asymptotic stability independence ofdelays of equilibriums of the large-scale systems are obtained. The isolated subsystems involved in the paper are stochastic subsystems. The assumptions on the isolated subsystems are necessary and sufficientconditions of mean-square asymptotic stability of their equilibriums. Besides, the Lyapunov functional applied in the paper is a deterministic one. |
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| Keywords: | stochastic system large-scale delay system mean-square stability |
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