Exponential stability of laminated beam with neutral delay

被引：0
作者：
Kassimu Mpungu
Tijani A. Apalara
机构：
[1] Universiti Teknologi Malaysia (UTM),Department of Mathematical of Sciences Faculty of Science
[2] University of Hafr Al-Batin,Department of Mathematics
来源：
Afrika Matematika | 2022年 / 33卷
关键词：
Laminated beams; Interfacial slip; Neutral delay; Exponential decay; 35B35; 35L56; 93D15; 93D23;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Of concern is a laminated beam system with a neutral delay in the transverse displacement. We prove that despite of the destructive nature of delays in general, the solution goes back to the equilibrium state in an exponential behavior with a reasonable condition on the wave propagation speed. In other words, we prove that the dissipation through structural damping is strong enough to stabilize the system exponentially even in the presence of neutral delay.
引用
收藏
相关论文
共 71 条
  • [1] Apalara TA(2017)Uniform stability of a laminated beam with structural damping and second sound Z. Angew. Math. 68 41-830
  • [2] Apalara TA(2016)Uniform decay in weakly dissipative Timoshenko system with internal distributed delay feedbacks Acta Math. Sci. Ser. B (Engl. Ed.) 36 815-137
  • [3] Apalara TA(2021)Exponential stability of laminated beams with interfacial slip Mech. Solids 56 131-1524
  • [4] Apalara TA(2019)On the stability of a thermoelastic laminated beam Acta Math. Sci. Ser. B (Engl. Ed.) 39 1517-480
  • [5] Apalara TA(2020)Exponential stability for laminated beams with a frictional damping Arch. Math. (Basel) 114 471-336
  • [6] Raposo CA(2007)Easy test for stability of laminated beams with structural damping and boundary feedback controls J. Dyn. Control Syst. 13 313-1252
  • [7] Nonato CAS(2019)General decay rates for a laminated beam with memory Taiwanese J. Math. 23 1227-10004
  • [8] Cao XG(2020)Well posedness and stability result for a thermoelastic laminated Timoshenko beam with distributed delay term Math. Methods Appl. Sci. 43 9983-156
  • [9] Liu DY(1986)An example on the effect of time delays in boundary feedback stabilization of wave equations SIAM J. Control Optim. 24 152-1174
  • [10] Xu GQ(2018)Well-posedness and exponential decay for laminated Timoshenko beams with time delays and boundary feedbacks Math. Methods Appl. Sci. 41 1162-1588
12345678