Stochastic systems with a random jump in phase trajectory: stability of their motion

T. V. Zavyalova; I. Ya. Kats; G. A. Timofeeva

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Stochastic systems with a random jump in phase trajectory: stability of their motion

机译：相位轨迹随机跳跃的随机系统：运动的稳定性

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The probabilistic stability of the perturbed motion of a system with parameters under the action of a general Markov process is studied. The phase vector is assumed to experience random jumps when the structure the system suffers random jumps. Such a situation is encountered, for example, in the motion of a solid with random jumps in its mass. The mean-square stability of random-structure linear systems and stability of nonlinear systems in the first approximation are studied. The applied approach is helpful in studying the asymptotic probabilistic stability and mean-square exponential stability of stochastic systems through the stability of the respective deterministic systems.

机译：研究了在一般马尔可夫过程的作用下具有参数的系统的扰动运动的概率稳定性。当系统的结构遭受随机跳跃时，假定相位矢量会经历随机跳跃。例如，在质量随机变化的固体运动中会遇到这种情况。在第一近似中研究了随机结构线性系统的均方稳定性和非线性系统的稳定性。所应用的方法有助于通过各自确定性系统的稳定性研究随机系统的渐近概率稳定性和均方指数稳定性。

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《Automation and Remote Control》 |2002年第7期|共10页
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T. V. Zavyalova; I. Ya. Kats; G. A. Timofeeva;
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正文语种 eng
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1. Stochastic systems with a random jump in phase trajectory: stability of their motion [J] . T. V. Zavyalova, I. Ya. Kats, G. A. Timofeeva Automation and Remote Control . 2002,第7期

机译：相位轨迹随机跳跃的随机系统：运动的稳定性
2. Randomized algorithms for robust stability and guaranteed cost control of stochastic jump parameter systems with uncertain switching policies [J] . Ugrinovskii VA Journal of Optimization Theory and Applications . 2005,第1期

机译：具有不确定切换策略的随机跳跃参数系统的鲁棒稳定性和保证成本控制的随机算法
3. Randomized Algorithms for Robust Stability and Guaranteed Cost Control of Stochastic Jump Parameter Systems with Uncertain Switching Policies [J] . V. A. Ugrinovskii Journal of Optimization Theory and Applications . 2005,第1期

机译：切换策略不确定的随机跳参数系统的鲁棒稳定性和保证成本控制的随机算法
4. Robust stability and stabilization of uncertain stochastic systems involving jump random noise [C] . Bo Song, Heng Zhou, Peng Xu, Chinese Control Conference . 2020

机译：带有跳跃随机噪声的不确定随机系统的鲁棒稳定性和稳定性
5. Nonlinear response and stability analysis of vessel rolling motion in random waves using stochastic dynamical systems. [D] . Su, Zhiyong. 2012

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7. Randomized algorithms for robust stability and guaranteed cost control of stochastic jump parameter systems with uncertain switching policies [O] . V. A. Ugrinovskii, Communicated B. Polyak 2005

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8. Effects of Certain Control-System Nonlinearities on Stability and Pointing of an Attached Double-Gimbal Experiment Package in Presence of Random Crew-Motion Disturbances [R] . Shaughnessy, J. D., Groom, N. J., Nene, V. D. 1973

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Stochastic systems with a random jump in phase trajectory: stability of their motion

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