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Reachability of Affine Systems on Polytopes 被引量：1

Reachability of Affine Systems on Polytopes
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作者 WU Min YAN Gang-Feng LIN Zhi-Yun
机构地区 Asus Intelligent Systems Laboratory
出处 《自动化学报》 EI CSCD 北大核心 2009年第12期1528-1533,共6页 Acta Automatica Sinica
基金 Supported by National Natural Science Foundation of China （60504024）, Zhejiang Provincial Natural Science Foundation of China （Y106010）, and the Specialized Research Fund for the Doctoral Program of Higher Education of China （20060335022）
关键词 子空间 分区程序 正多面体 自动化系统 Reachability, polytope, invariant set, attraction domain, piecewise affine hybrid systems
分类号 O151.21 [理学—基础数学] TU378.4 [建筑科学—结构工程]
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参考文献19

  • 1Alur R, Courcoubetis C, Halbwachs N, Henzinger T A, Ho P H, Nicollin X. The algorithmic analysis of hybrid systems. Theoretical Computer Science, 1995, 138(1): 3-34.
  • 2Sontag E D. Nonlinear regulation: the piecewise linear approach. IEEE Transactions on Automatic Control, 1981, 26(2): 346-358.
  • 3Bemporad A, Ferrari-Trecate G, Morari M. Observability and controllability of piecewise affine and hybrid systems. IEEE Transactions on Automatic Control, 2000, 45(10): 1864-1876.
  • 4Lin Z Y, Broucke M E. Reachability and control of affine hypersurface systems on polytopes. In: Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, USA: IEEE, 2007. 733-738.
  • 5Batt G, Belta C, Weiss R. Temporal logic analysis of gene networks under parameter uncertainty. IEEE Transaztions on Automatic Control, 2008, 53(z1): 215-229.
  • 6Azuma S, Yanagisawa E, Imura J. Controllability analysis of biosystems based on piecewise-affine systems approach. IEEE Transactions on Automatic Control, 2008, 53(z1): 139 - 152.
  • 7Drulhe S, Ferrari-Trecate G, de Jong H. The switching threshold reconstruction problem for piecewise-affine models of genetic regulatory networks. IEEE Transactions on Automatic Control, 2008, 53(z1): 153-165.
  • 8de Jong H, Page M. Search for steady states of piecewiselinear differential equation models of genetic regulatory networks. IEEE/ACM Transactions on Computational Biology and Bioinformatics, 2008, 5(2): 208-222.
  • 9Roszak B, Broucke M E. Reachability of a set of facets for linear affine systems with n - 1 inputs. IEEE Transactions on Automatic Control, 2007, 52(2): 359-364.
  • 10Habets L C G J M, van Schuppen J H. Reachability of affine systems on polytopes in the plane. In: Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems. Leuven: Belgium: Katholieke University Leuven, 2004. 1-15.

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自动化学报
2009年 第12期

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