This paper presents a solution to the boundary stabilization of a symmetric composite laminated plate in free transverse vibration. The symmetric composite laminated plate dynamics is presented by a linear fourth order partial differential equation (PDE). A linear control law is constructed to stabilize the plate. The control force consists of feedback of the velocity at the boundary of the pla...

Various optimization problems associated with the optimal control of distributed parabolic systems with time delays appearing in boundary conditions were studied recently by Wang (1975), Knowles (1978), Kowalewski (1988; 1990a;1990b; 1998; 1999; 2001), Kowalewski and Duda (1992) and Kowalewski and Krakowiak (2000). In (Wang, 1975), optimal control problems for parabolic systems with Neumann bou...

A hyperbolic Stefan problem based on the linearized Gurtin{Pipkin heat conduction law is considered. Temperature and free boundary are controlled by a thermostat acting on the boundary. This feedback control is based on temperature measurements performed by real thermal sensors located into the domain containing the two{phase system and/or at its boundary. Three di erent types of thermostats ar...

In this paper we consider smooth di erential 1-forms and smooth nonlinear control-a ne systems with (n 1)-inputs evolving on an ndimensional manifold with boundary. These systems are called hypersurface systems under the additional assumption that the drift vector eld and control vector elds span the tangent space to the manifold. We locally classify all structurally stable di erential 1-forms ...

In this paper, a dynamic state feedback that stabilizes general nonlinear affine in the control systems is proposed. It is deduced from the solution of an Hamilton-Jacobi like equality with two boundary conditions. The asymptotic stability of the closed loop system is proved and some examples are given. An interesting feature of this method is that the so obtained feedback takes the form of a g...