Null controllability in a fluid–solid structure model

Null Controllability of a Fluid-Structure System

We study a coupled uid-structure system. The structure corresponds to a part of the boundary of a domain containing an incompressible viscous uid. The structure displacement is modeled by an ordinary di erential equation. We prove the local null controllability of the system when the control acts on a xed subset of the uid domain.

a sufficient condition for null controllability of nonlinear control systems

classical control methods such as pontryagin maximum principle and bang-bang principle and other methods are not usually useful for solving opti-mal control systems (ocs) specially optimal control of nonlinear systems (ocns). in this paper, we introduce a new approach for solving ocns by using some combination of atomic measures. we define a criterion for controllability of lumped nonlinear con...

Null Controllability of a Nonlinear Heat Equation

Null Controllability of a Thermoelastic Plate

In this paper, we investigate the null controllability of thermoelastic plates when the control (heat source) acts in the thermal equation. In general, these models consist of an elastic motion equation and a heat equation, which are coupled in such a way that the energy transfer between them is taken into account. The plate, we consider here, is derived in the light of [18]. Transverse shear e...

Null controllability of a nonlinear diffusion system in reactor dynamics

In this paper, we prove the exact null controllability of certain diffusion system by rewriting it as an equivalent nonlinear parabolic integrodifferential equation with variable coefficients in a bounded interval of R with a distributed control acting on a subinterval. We first prove a global null controllability result of an associated linearized integrodifferential equation by establishing a...