This paper considers the problem of controlling a class of nonlinear multibody flexible space systems consisting of a flexible central body to which a number of articulated appendages are attached. Collocated actuators and sensors are assumed, and global asymptotic stability of such systems is established under a nonlinear dissipative control law. The stability is shown to be robust to unmodele...

In this paper an approach is proposed to introduce Hamiltonian formalism to dissipative mechanical systems. This approach is based upon below viewpoints proposed in this paper: under a certain identical initial condition a dissipative mechanical system shares a common phase flow curve with a conservative system; the Hamiltonian of the conservative system is the value of the total energy of the ...

Aims. In the approximation of linear dissipative magnetohydrodynamics (MHD) it can be shown that driven MHD waves in magnetic plasmas with high Reynolds number exhibit a near resonant behaviour if the frequency of the wave becomes equal to the local Alfvén (or slow) frequency of a magnetic surface. This near resonant behaviour is confined to a thin region, known as the dissipative layer, which ...

In this paper, the problem of pseudo-Hamiltonian realization of a control system is studied. Several sufficient conditions are obtained. The stability of a dynamic system is investigated via dissipative pseudo-Hamiltonian realization, and the stabilization of a control system is also investigated via feedback dissipative pseudo-Hamiltonian realization. Some relations between the stability (asym...

We discuss two important topics of turbulence theory: inviscid limit and decay of the Fourier spectrum for the 2-D dissipative quasi-geostrophic (QGS) equations. In the first part we consider inviscid limits for both smooth and weak solutions of the 2-D dissipative QGS equations and prove that the classical solutions with smooth initial data tend to the solutions of the corresponding non-dissip...

Nonequilibrium stationary states (NESS) describe the state of a mechanical system driven and maintained out of equilibrium by external forces. The main characteristic of a NESS is that it sustains sustain steady flows or equivalently that it exhibits positive entropy production. We discuss general features of the fluctuations of the entropy production and corresponding flows. The NESS and the e...