Duality in controllability and observability problems for nonstationary hybrid impulsive differential-difference systems

被引:2
|
作者
Marchenko, V. M. [1 ]
Zaczkiewicz, Z.
机构
[1] Belarusian State Univ, Minsk, BELARUS
关键词
Vector Function; Dual System; General Duality; Duality Principle; Hybrid Dynamical System;
D O I
10.1134/S0012266110120098
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider linear nonstationary hybrid differential-difference dynamical observable systems under the action of impulses, which generates jumps in the corresponding solutions of the systems. For such systems, we construct dual controllability problems and prove a general duality relation, which permits one to state a general duality principle in controllability and observability problems for hybrid differential-difference systems. The results are illustrated by an example.
引用
收藏
页码:1767 / 1778
页数:12
相关论文
共 50 条
  • [41] LYAPUNOV FUNCTIONALS AND RELATED OPTIMAL PROBLEMS FOR DIFFERENTIAL-DIFFERENCE SYSTEMS
    YANUSHEVSKY, RT
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1993, 25 (10-11) : 89 - 101
  • [42] Representation of solutions of control hybrid differential-difference impulse systems
    V. M. Marchenko
    Z. Zaczkiewicz
    Differential Equations, 2009, 45 : 1811 - 1822
  • [43] QUANTIZATION OF DIFFERENTIAL-DIFFERENCE SYSTEMS
    BLYUMIN, SL
    KUZNETSOV, LA
    AUTOMATION AND REMOTE CONTROL, 1978, 39 (11) : 1733 - 1735
  • [45] Controllability and observability of linear time-varying impulsive systems
    Guan, ZH
    Qian, TH
    Yu, YH
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2002, 49 (08): : 1198 - 1208
  • [46] Controllability and observability for a class of time-varying impulsive systems
    Zhao, Shouwei
    Sun, Jitao
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (03) : 1370 - 1380
  • [47] SOME NEW RESULTS ON CONTROLLABILITY AND OBSERVABILITY FOR IMPULSIVE DYNAMIC SYSTEMS
    Mirza, Safia
    Younus, Awais
    Mansoor, Asif
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 14 (01): : 43 - 72
  • [48] Controllability and Observability of Piecewise Impulsive Systems on Arbitrary Time Domains
    Kumar, Vipin
    Djemai, Mohamed
    2022 10TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC), 2022, : 207 - 212
  • [49] Controllability and observability of tempered fractional differential systems
    Lamrani, Ilyasse
    Zitane, Hanaa
    Torres, Delfim F. M.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2025, 142
  • [50] CONTROLLABILITY AND OBSERVABILITY RESULTS FOR QUATERNION-VALUED IMPULSIVE DIFFERENTIAL EQUATIONS
    Suo, Leping
    Feckan, Michal
    Wang, Jinrong
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2024, 54 (04) : 1175 - 1211