On the stabilization of elastic plates with dynamical boundary control

Boundary Control of a Vibrating FGM Rectangular Plate

“…Then, Rao showed that stabilization of the transverse vibration of the elastic plates by using boundary control is possible for special boundary conditions Boundary Control of a Vibrating FGM Rectangular Plate (Rao 1998). Then Liu, Jiang and Huang by using Rao's approach obtained the same results as Lagnese's research, but they showed that only asymptotic and not exponential stability is obtainable (Liu et al 2004). …”

“…Our study is a novel extension of the work by Liu et al and Rao for more boundary conditions and from isotropic to symmetric laminated composite plates (Liu et al, 2004;Rao 1998). The stability will be proved using a Lyapunov functional.…”

Boundary control of vibration of symmetric composite laminated plate

“…The main goal of this article is to use boundary control to stabilize the vibration of elastic symmetric composite laminated plates with different boundary conditions. Our study is a novel extension of the work by Liu et al and Rao for more boundary conditions and from isotropic to symmetric laminated composite plates (Liu et al, 2004;Rao 1998). The stability will be proved using a Lyapunov functional.…”

“…Then, Rao showed that stabilization of the transverse vibration of the elastic plates by using boundary control is possible for special boundary conditions (Rao 1998, Littman et al 1988. Then Liu, Jiang and Huang by using Rao's approach obtained the same results as Lagnese's research, but they showed that only asymptotic and not exponential stability is obtainable (Liu et al 2004).…”

Exponential stability of second-order evolution equations with structural damping and dynamic boundary delay feedback

“…The system with a = τ = 0 is extensively studied in the literature and corresponds to some SCOLE models, where some exponential or polynomial stability results are proved in Chentouf (2003), Chentouf & Wang (2007), Conrad & Morgül (1998), Conrad & Saouri (2002), Littman & Markus (1988), Liu et al (2005), Rao (1995Rao ( , 1998) (for non-linear problems, see, e.g. Gerbi & Said-Houari, 2008;Grobbelaar-Van Dalsen & van der Merwe, 1999).…”