On reachability and controllability for a Volterra integro-dynamic system on time scales

被引：0
作者：
dos Santos, Iguer Luis Domini [1 ]
Tikare, Sanket [2 ]
机构：
[1] Univ Estadual Paulista, UNESP, Fac Engn Ilha Solteria, Dept Matemat, Rua Rio Janeiro 266, BR-15385000 Ilha Solteria, SP, Brazil
[2] Ramniranjan Jhunjhunwala Coll, Dept Math, Mumbai 400086, Maharashtra, India
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2025年 / 70卷 / 01期
关键词：
Reachability; controllability; integro-dynamic equations; time scales;
D O I：
10.24193/subbmath.2025.1.08
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper studies and relates the notions of reachability and controllability for the Volterra integro-dynamic system on time scales. More specifically, we obtain necessary and sufficient conditions for reachability and controllability. In addition, we obtain an equivalence between the concepts of reachability and controllability studied. Mathematics Subject Classification (2010): 45D05, 34N05, 93B03, 93B05.
引用
收藏
页码：115 / 126
页数：12
相关论文
共 11 条
  • [1] Necessary and sufficient conditions for uniform stability of Volterra integro-dynamic equations using new resolvent equation
    Adivar, Murat
    Raffoul, Youssef N.
    [J]. ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2013, 21 (03): : 17 - 32
  • [2] PRINCIPAL MATRIX SOLUTIONS AND VARIATION OF PARAMETERS FOR VOLTERRA INTEGRO-DYNAMIC EQUATIONS ON TIME SCALES
    Adivar, Murat
    [J]. GLASGOW MATHEMATICAL JOURNAL, 2011, 53 : 463 - 480
  • [3] Time scale reachability and controllability of time-varying linear systems
    Ben Nasser, Bacem
    Djemai, Mohamed
    Defoort, Michael
    Laleg-Kirati, Taous-Meriem
    [J]. ASIAN JOURNAL OF CONTROL, 2022, 24 (05) : 2074 - 2088
  • [4] Bohner M., 2001, Dynamic Equations on Time Scales: An Introduction With Applications
  • [5] Brezis H., 1983, Analyse Fonctionnelle: Theorie et Applications
  • [6] Expression of the Lebesgue Δ-integral on time scales as a usual Lebesgue integral;: application to the calculus of Δ-antiderivatives
    Cabada, A
    Vivero, DR
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2006, 43 (1-2) : 194 - 207
  • [7] Integration on time scales
    Guseinov, GS
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 285 (01) : 107 - 127
  • [8] Positivity and uniform exponential stability for Volterra integro-dynamical systems on time scales
    Karpuz, Basak
    Koyuncuoglu, Halis Can
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2021, 41
  • [9] CONTROLLABILITY RESULTS FOR A VOLTERRA INTEGRO DYNAMIC INCLUSION WITH IMPULSIVE CONDITION ON TIME SCALES
    Kumar, Vipin
    Malik, Muslim
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2019, 49 (08) : 2647 - 2668
  • [10] Lupulescu V, 2013, ELECTRON J QUAL THEO, P1
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