Stabilization of families of linear and nonlinear discrete dynamical systems

被引：0
|
作者：
Kuntsevich V.M. [1 ]
机构：
[1] National Academy of Sciences of Ukraine, Institute of Space Research, State Space Agency of Ukraine, Kiev
来源：
Journal of Automation and Information Sciences | 2017年 / 49卷 / 01期
关键词：
Contracted mapping; Family of linear and nonlinear discrete dynamical systems; Robust stability; Stabilization;
D O I：
10.1615/JAutomatInfScien.v49.i1.10
中图分类号：
学科分类号：
摘要：
A solution to the minimax problem of optimal stabilization of families of linear and nonlinear discrete dynamical systems is presented in the analytical form. In general, there are no controls providing the robust stability for the considered wide classes of systems. The proposed solution is based on the constructive methods for verifying the fulfillment of the robust stability sufficient conditions using the principle of the contracted mappings and its generalization. © 2017 by Begell House Inc.
引用
收藏
页码：1 / 16
页数：15
相关论文
共 50 条
  • [1] STABILIZATION OF LINEAR UNCERTAIN DISCRETE-TIME-SYSTEMS WITH NONLINEAR ACTUATORS
    CHOU, JH
    [J]. JSME INTERNATIONAL JOURNAL SERIES C-DYNAMICS CONTROL ROBOTICS DESIGN AND MANUFACTURING, 1993, 36 (02): : 191 - 195
  • [2] Invariant sets for families of linear and nonlinear discrete systems with bounded disturbances
    Kuntsevich, A. V.
    Kuntsevich, V. M.
    [J]. AUTOMATION AND REMOTE CONTROL, 2012, 73 (01) : 83 - 96
  • [3] Invariant sets for families of linear and nonlinear discrete systems with bounded disturbances
    A. V. Kuntsevich
    V. M. Kuntsevich
    [J]. Automation and Remote Control, 2012, 73 : 83 - 96
  • [4] On global stabilization of nonlinear dynamical systems
    Yu, XH
    Wu, YQ
    Man, ZH
    [J]. VARIABLE STRUCTURE SYSTEMS, SLIDING MODE AND NONLINEAR CONTROL, 1999, 247 : 109 - 122
  • [5] Stabilization of dynamical systems with nonlinear actuators
    Kuwait Univ, Safat, Kuwait
    [J]. J Franklin Inst, 3 (357-375):
  • [6] Stabilization of dynamical systems with nonlinear actuators
    Mahmoud, MS
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1997, 334B (03): : 357 - 375
  • [7] On stability and stabilization of some discrete dynamical systems
    Cermak, Jan
    Jansky, Jiri
    Matsunaga, Hideaki
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (10) : 3684 - 3695
  • [8] On Some Discrete Nonlinear Dynamical Systems
    Sekovanov V.S.
    Sekovanov V.S.
    [J]. Journal of Mathematical Sciences, 2019, 237 (3) : 460 - 472
  • [9] Chaos Synchronization of Nonlinear Fractional Discrete Dynamical Systems via Linear Control
    Xin, Baogui
    Liu, Li
    Hou, Guisheng
    Ma, Yuan
    [J]. ENTROPY, 2017, 19 (07)
  • [10] Invariant stabilization of nonlinear discrete systems
    Zuber I.E.
    Gelig A.K.
    [J]. Vestnik St. Petersburg University: Mathematics, 2007, 40 (1) : 80 - 84
12345