Statistical Characteristics of Attainability Set of Controllable Systems with Random Coefficients

L. I. Rodina; A. Kh. Khammadi

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Statistical Characteristics of Attainability Set of Controllable Systems with Random Coefficients

机译：具有随机系数的可控系统可达性集的统计特征。

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For controllable systems with random coefficients we study a property of statistical invariance, satisfied with given probability. We obtain sufficient conditions for invariance of a set with respect to controllable system expressed in terms of Lyapunov functions and shift dynamic system. We study the statistical characteristics of attainability set of a controllable system which is parameterized by metric dynamic system.

机译：对于具有随机系数的可控系统，我们研究了满足给定概率的统计不变性的性质。我们针对Lyapunov函数和移位动力系统表示的可控系统的集合不变性获得了充分的条件。我们研究了由度量动态系统参数化的可控系统可达到性集的统计特性。

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《Russian mathematics》 |2014年第11期|共11页
作者
L. I. Rodina; A. Kh. Khammadi;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
controllable systems; dynamic systems; differential inclusions; statistically invariant sets.;

机译：可控系统;动力系统;微分包含;统计不变集。;

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1. Statistical Characteristics of Attainability Set of Controllable Systems with Random Coefficients [J] . L. I. Rodina, A. Kh. Khammadi Russian mathematics . 2014,第11期

机译：具有随机系数的可控系统可达性集的统计特征。
2. Statistical Characteristics of Continuous Functions and Statistically Weakly Invariant Sets of Controllable System [J] . Ya. Yu. Larina, L. I. Rodina Russian mathematics . 2017,第2期

机译：连续功能的统计特性和统计上弱不变集合系统
3. A Remark on the Attainability Theory of Linear Control Systems with Constant Coefficients [J] . Yu. M. Semenov Differential equations: A translation of differensial'nye uraveniya . 2007,第4期

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4. Qualitative analyses of attainability set of nonlinear controllable systems [C] . Ekimov Alexandr V. 2014 20th International Workshop on Beam Dynamics and Optimization . 2014

机译：定性分析非线性可控系统的可达性
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7. The characteristics of attainability set connected with invariancy of control systems on the finite time interval [O] . L.I. Rodina, A.H. Hammady 2013

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Statistical Characteristics of Attainability Set of Controllable Systems with Random Coefficients

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