State space method in the identifiability problem of linear nonstationary singularly perturbed systems

被引：0
|
作者：
Kopeikina, T.B. [1 ]
Tsekhan, O.B. [1 ]
机构：
[1] Inst of Mathematics of Belarussian, Acad of Sciences, Minsk, Belarus
来源：
Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh | 1998年 / 05期
关键词：
Differential equations - Identification (control systems) - Linear equations - Linear systems - Perturbation techniques - Problem solving;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The identifiability problem is studied for linear nonstationary singularly perturbed systems of differential equations by the state space method. We consider the case where the linear combinations of coefficients of an unknown slowly-varied function additively enter the right-hand side of a linear nonstationary singularly perturbed system, a solution to a differential equation with an unknown initial condition. Effective tests that are necessary and sufficient conditions of a rank type for the identifiability of this linear nonstationary singularly perturbed system are obtained in terms of solutions to its algebraic defining equations. An example that illustrates an application of the obtained results is presented.
引用
收藏
相关论文
共 50 条
  • [31] Numerical Computation of Linear Quadratic Control Problem for Singularly Perturbed Stochastic Systems
    Sagara, Muneomi
    Mukaidani, Hiroaki
    Yamamoto, Toru
    2009 IEEE INTERNATIONAL CONFERENCE ON NETWORKING, SENSING AND CONTROL, VOLS 1 AND 2, 2009, : 714 - 719
  • [32] IDENTIFIABILITY OF LINEAR STATE SYSTEMS
    WALTER, E
    LECARDINAL, G
    BERTRAND, P
    MATHEMATICAL BIOSCIENCES, 1976, 31 (1-2) : 131 - 141
  • [33] Stabilisation of polytopic singularly perturbed linear systems
    Malloci, Ivan
    Daafouz, Jamal
    INTERNATIONAL JOURNAL OF CONTROL, 2012, 85 (02) : 135 - 142
  • [34] Reachable sets to singularly perturbed linear systems
    Goncharova, E. V.
    Ovseevich, A. I.
    DOKLADY MATHEMATICS, 2009, 80 (01) : 595 - 598
  • [35] STOCHASTIC CONTROL OF LINEAR SINGULARLY PERTURBED SYSTEMS
    HADDAD, AH
    KOKOTOVIC, PV
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1977, 22 (05) : 815 - 821
  • [36] Synchronization in networks of linear singularly perturbed systems
    Ben Rejeb, Jihene
    Morarescu, Irinel-Constantin
    Daafouz, Jamal
    2016 AMERICAN CONTROL CONFERENCE (ACC), 2016, : 4293 - 4298
  • [37] 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
  • [38] 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
  • [39] LINEAR-FILTERING OF SINGULARLY PERTURBED SYSTEMS
    HADDAD, AH
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (04) : 515 - 519
  • [40] Bounded solutions of linear singularly perturbed systems
    Panfilov, NG
    DIFFERENTIAL EQUATIONS, 1999, 35 (10) : 1458 - 1459
12345