On Boundedness and Unboundedness of Polyhedral Estimates for Reachable Sets of Linear Differential Systems~*

机译：关于可达线性微分系统的多面体估计的界限和无界性〜*

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The paper describes the properties of boundedness and unboundedness of outer polyhedral (parallelepiped-valued) estimates for reachable sets of linear differential systems with stable matrices over the infinite time interval. New results concerning tight estimates are presented.

机译：本文描述了外部多面体（平行六面体值）估计的界限和无界性的性质，用于在无限时间间隔内具有稳定矩阵的可达线性差分系统的可达线性差分系统的特性。提出了关于紧缩估计的新结果。

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《International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics》|2014年||共19页
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作者
Elena K. Kostousova;
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中图分类 TP301-532;
关键词
interval analysis; linear differential systems; reachable sets; polyhedral estimates; parallelepipeds;

机译：间隔分析;线性差分系统;可达套装;多面体估计;平行六面体;

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专利

1. On the Boundedness of Outer Polyhedral Estimates for Reachable Sets of Linear Systems [J] . E. K. Kostousova Computational mathematics and mathematical physics . 2008,第6期

机译：线性系统可及集外多面估计的有界性
2. On Polyhedral Estimates for Reachable Sets of Discrete-Time Systems with Bilinear Uncertainty [J] . E. K. Kostousova Automation and Remote Control . 2011,第9期

机译：具有双线性不确定性的离散时间系统可到达集合的多面估计
3. Differential Equations for Ellipsoidal Estimates of Reachable Sets for a Class of Control Systems with Nonlinearity and Uncertainty ? [J] . Tatiana F. Filippova IFAC PapersOnLine . 2018,第32期

机译：用于一类具有非线性和不确定性的控制系统的椭圆估计的微分方程
4. On Boundedness and Unboundedness of Polyhedral Estimates for Reachable Sets of Linear Differential Systems~* [C] . Elena K. Kostousova International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics . 2014

机译：关于可达线性微分系统的多面体估计的界限和无界性〜*
5. Linear quadratic regulatory boundary/point control of stochastic partial differential equation systems with unbounded coefficients. [D] . Hafizoglu, Cavit. 2006

机译：具有无穷系数的随机偏微分方程系统的线性二次调节边界/点控制。
6. New results on reachable set bounding for linear time delay systems with polytopic uncertainties via novel inequalities [O] . Hao Chen, Shouming Zhong -1

机译：通过新的不等式具有多主题不确定性的线性时滞系统可达集边界的新结果
7. Estimates of reachable sets of control systems with bilinear–quadratic nonlinearities [O] . Tatiana F. Filippova, Oksana G. Matviychuk 2015

机译：双线性二次非线性可达控制系统估计估计

On Boundedness and Unboundedness of Polyhedral Estimates for Reachable Sets of Linear Differential Systems~*

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