GLOBAL ANALYTICITY OF A GEOMETRIC DECOMPOSITION FOR LINEAR SINGULARLY PERTURBED SYSTEMS

被引:10
|
作者
COBB, JD
机构
[1] Univ of Wisconsin, Madison, WI, USA, Univ of Wisconsin, Madison, WI, USA
关键词
MATHEMATICAL TECHNIQUES - State Space Methods;
D O I
10.1007/BF01600192
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
A geometric decomposition is developed for linear, time-invariant singularly perturbed systems of a general form. The decomposition is shown to be determined by a mapping d between two real analytic manifolds, the range of d being a manifold of canonical forms. Our main result establishes analyticity of d over its entire domain.
引用
收藏
页码:139 / 152
页数:14
相关论文
共 50 条
  • [11] Passivity of Linear Singularly Perturbed Systems
    Susca, Mircea
    Mihaly, Vlad
    Lendek, Zsofia
    Morarescu, Irinel-Constantin
    IEEE CONTROL SYSTEMS LETTERS, 2024, 8 : 2105 - 2110
  • [12] Transformations for decomposition of linear singularly perturbed systems with N-fast subsystems
    Lim, MT
    PROCEEDINGS OF THE 1998 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1998, : 1523 - 1525
  • [13] Standard decomposition of nonstandard singularly perturbed systems
    Huang, Yi
    Xu, Kckang
    Kong Zhi Li Lun Yu Ying Yong/Control Theory and Applications, 1993, 10 (02):
  • [14] INTEGRAL MANIFOLDS AND DECOMPOSITION OF SINGULARLY PERTURBED SYSTEMS
    SOBOLEV, VA
    SYSTEMS & CONTROL LETTERS, 1984, 5 (03) : 169 - 179
  • [15] Stabilisation of polytopic singularly perturbed linear systems
    Malloci, Ivan
    Daafouz, Jamal
    INTERNATIONAL JOURNAL OF CONTROL, 2012, 85 (02) : 135 - 142
  • [16] Reachable sets to singularly perturbed linear systems
    Goncharova, E. V.
    Ovseevich, A. I.
    DOKLADY MATHEMATICS, 2009, 80 (01) : 595 - 598
  • [17] STOCHASTIC CONTROL OF LINEAR SINGULARLY PERTURBED SYSTEMS
    HADDAD, AH
    KOKOTOVIC, PV
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1977, 22 (05) : 815 - 821
  • [18] Synchronization in networks of linear singularly perturbed systems
    Ben Rejeb, Jihene
    Morarescu, Irinel-Constantin
    Daafouz, Jamal
    2016 AMERICAN CONTROL CONFERENCE (ACC), 2016, : 4293 - 4298
  • [19] Fault diagnosis of linear singularly perturbed systems
    Gong, F.
    Khorasani, K.
    2005 44th IEEE Conference on Decision and Control & European Control Conference, Vols 1-8, 2005, : 2415 - 2420
  • [20] Linear quadratic control for singularly perturbed systems
    Li, Y
    Wang, JL
    Yang, GH
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2005, 12 (01): : 29 - 39