Stabilization in general decay rate of discrete feedback control for non-autonomous Markov jump stochastic systems

2022 ◽  
Vol 417 ◽  
pp. 126771
Author(s):  
Lichao Feng ◽  
Qiumei Liu ◽  
Jinde Cao ◽  
Chunyan Zhang ◽  
Fawaz Alsaadi
2020 ◽  
Vol 40 (6) ◽  
pp. 647-666
Author(s):  
Khaleel Anaya ◽  
Salim A. Messaoudi

In this paper, we consider a weakly dissipative viscoelastic equation with a nonlinear damping. A general decay rate is proved for a wide class of relaxation functions. To support our theoretical findings, some numerical results are provided.


2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Abdelbaki Choucha ◽  
Salah Boulaaras

AbstractA nonlinear viscoelastic Kirchhoff-type equation with Balakrishnan–Taylor damping and distributed delay is studied. By the energy method we establish the general decay rate under suitable hypothesis.


Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1632
Author(s):  
Khaled Zennir ◽  
Mohamad Biomy

In the present paper, we consider an important problem from the point of view of application in sciences and engineering, namely, a new class of nonlinear Love-equation with infinite memory in the presence of source term that takes general nonlinearity form. New minimal conditions on the relaxation function and the relationship between the weights of source term are used to show a very general decay rate for solution by certain properties of convex functions combined with some estimates. Investigations on the propagation of surface waves of Love-type have been made by many authors in different models and many attempts to solve Love’s equation have been performed, in view of its wide applicability. To our knowledge, there are no decay results for damped equations of Love waves or Love type waves. However, the existence of solution or blow up results, with different boundary conditions, have been extensively studied by many authors. Our interest in this paper arose in the first place in consequence of a query for a new decay rate, which is related to those for infinite memory ϖ in the third section. We found that the system energy decreased according to a very general rate that includes all previous results.


2003 ◽  
Vol 48 (5) ◽  
pp. 397-406 ◽  
Author(s):  
Tomás Caraballo ◽  
Marı́a J. Garrido-Atienza ◽  
José Real

2008 ◽  
Vol 68 (1) ◽  
pp. 177-193 ◽  
Author(s):  
M.M. Cavalcanti ◽  
V.N. Domingos Cavalcanti ◽  
P. Martinez

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