ASYMPTOTIC DECOMPOSITION OF LINEAR SINGULARLY PERTURBED MULTISCALE SYSTEMS

被引：2
|
作者：
Cherevko, I. [1 ]
Osypova, O. [1 ]
机构：
[1] Yuriy Fedkovych Chernivtsi Natl Univ, DMI, 2 Kotsubinsky Str, UA-58012 Chernovtsy, Ukraine
来源：
MISKOLC MATHEMATICAL NOTES | 2015年 / 16卷 / 02期
关键词：
linear singularly perturbed systems; decomposition; asymptotic decomposition; integral manifolds; PERTURBATIONS; SCALES;
D O I：
10.18514/MMN.2015.1627
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a scheme which decomposes a singularly perturbed linear system with several small parameters into a block-diagonal form. The algorithm of the scheme contains k steps of a successive splitting based on the integral manifold of quick and slow variables method. The splitting substitution is defined constructively in the form of expansions by powers of small parameters.
引用
收藏
页码：729 / 745
页数：17
相关论文
共 50 条
  • [31] Asymptotic Method for Solving a Singularly Perturbed Linear-Quadratic Optimal Control Problem with a Moving Right End of Trajectories
    Kalinin, A., I
    Lavrinovich, L., I
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2022, 62 (01) : 20 - 32
  • [32] Synchronization for linear singularly perturbed complex networks with coupling delays
    Cai, Chenxiao
    Xu, Jing
    Liu, Yurong
    Zou, Yun
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2015, 44 (02) : 240 - 253
  • [33] Composite fuzzy control of nonlinear singularly perturbed systems
    Li, Tzuu-Hseng S.
    Lin, Kuo-Jung
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2007, 15 (02) : 176 - 187
  • [34] Closeness of Solutions for Singularly Perturbed Systems via Averaging
    Deghat, Mohammad
    Ahmadizadeh, Saeed
    Nesic, Dragan
    Manzie, Chris
    2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2018, : 3110 - 3115
  • [35] Robust Stability of Singularly Perturbed Systems with State Delays
    Liu, Li-Li
    Peng, Ji-Gen
    Wu, Bao-Wei
    PROCEEDINGS OF 2009 INTERNATIONAL WORKSHOP ON INFORMATION SECURITY AND APPLICATION, 2009, : 19 - 21
  • [36] Stability of singularly perturbed nonlinear stochastic hybrid systems
    Socha, Leslaw
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2016, 34 (03) : 365 - 388
  • [37] Observing the Slow States of General Singularly Perturbed Systems
    Deghat, Mohammad
    Nesic, Dragan
    Teel, Andrew R.
    Manzie, Chris
    2020 59TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2020, : 4206 - 4211
  • [38] Existence of canard manifolds in a class of singularly perturbed systems
    Xie, F
    Han, MA
    Zhang, WJ
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (03) : 457 - 470
  • [39] Zero-order asymptotic solution of a class of singularly perturbed linear-quadratic problems with weak controls in a critical case
    Kurina, Galina
    Nguyen Thi Hoai
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2019, 40 (05) : 859 - 879
  • [40] THE LINEAR QUADRATIC REGULATOR PROBLEM FOR A CLASS OF CONTROLLED SYSTEMS MODELED BY SINGULARLY PERTURBED ITO DIFFERENTIAL EQUATIONS
    Dragan, Vasile
    Mukaidani, Hiroaki
    Shi, Peng
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2012, 50 (01) : 448 - 470
12345