Ellipsoidal approximations in reachability problems with nonellipsoidal constraints: internal ellipsoids

M. N. Kirilin

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Ellipsoidal approximations in reachability problems with nonellipsoidal constraints: internal ellipsoids

机译：具有非椭圆约束的可达性问题中的椭圆近似：内部椭圆

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The paper is devoted to problems of determination of the reachability domains for control systems with nonellipsoidal constraints on the initial state and control specified in the form of symmetrical polyhedrons. On the basis of the method of ellipsoidal approximations, some algorithms for constructing the internal approximation of reachability sets for linear systems with nonellipsoidal constraints are developed. A family of internal ellipsoidal tubes, whose union produces the exact solution, is presented. Some examples of construction of the approximations are given.

机译：本文致力于确定具有初始状态的非椭圆约束和以对称多面体形式指定的控制的控制系统的可达性域的确定问题。在椭圆近似方法的基础上，发展了一些构造具有非椭圆约束线性系统可及性集合的内部近似的算法。提出了一系列内部椭圆形管，它们的结合产生了精确的解。给出了一些近似构造的例子。

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《Journal of Computer and Systems Sciences International》 |2004年第6期|p.843-847|共5页
作者
M. N. Kirilin;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;
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专利

1. ELLIPSOIDAL APPROXIMATIONS IN ATTAINABILITY PROBLEMS WITH NONELLIPSOIDAL CONSTRAINTS. EXTERNAL ELLIPSOIDS [J] . M.N. Kirilin Moscow University Computational Mathematics and Cybernetics . 2004,第3期

机译：具有非椭球约束的可维修性问题中的椭球近似。外部椭球
2. On Ellipsoidal techniques for reachability analysis. Part II: internal approximations box-valued constraints [J] . A. B. Kurzhanski, P. Varaiya Optimization methods & software . 2002,第2期

机译：关于用于可达性分析的椭球技术。第二部分：内部近似盒值约束
3. Ellipsoidal techniques for reachability analysis: internal approximation [J] . Kurzhanski AB., Varaiya P. Systems and Control Letters . 2000,第3期

机译：可达性分析的椭球技术：内部近似
4. Ellipsoidal techniques for reachability problems under nonellipsoidal constraints [C] . M. N. Kirilin, A. B. Kurzhanski IFAC Symposium on Nonlinear Control Systems . 2002

机译：非细胞约束下可达性问题的椭圆技术
5. A probabilistic analysis of low-rank approximations in optimization problems with ellipsoidal constraints. [D] . Schismenos, Spyridon. 2009

机译：具有椭圆形约束的优化问题中低秩逼近的概率分析。
6. Variation in thyroid volumes due to differences in the measured length or area of the cross‐sectional plane: A validation study of the ellipsoid approximation method using CT images [O] . Naotoshi Fujita, Katsuhiko Kato, Shinji Abe, 2021

机译：由于横截面平面的测量长度或面积的差异甲状腺量的变化：使用CT图像的椭球近似方法的验证研究
7. On ellipsoidal techniques for reachability analysis Part II. Internal Approximations Box-valued constraints [O] . A. B. Kurzhanski, P. Varaiya 2013

机译：关于可达性分析的椭球技术第二部分。内部逼近框值约束
8. Telluric Anomalies Caused by Shallow Structures: Ellipsoidal Approximations, [R] . lee, tien-chang 1977

机译：浅层结构引起的层序异常：椭球近似，

Ellipsoidal approximations in reachability problems with nonellipsoidal constraints: internal ellipsoids

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