Stability of nonconservative systems and applications (Q2487415)

The author considers systems of the type \[ \ddot x+ bB(t)\dot x+ hG(t)\dot x+ k(t)x+ F(t)x= X(x,\dot x)\tag{\(*\)} \] and analyzes by means of Lyapunov functions the stability of system \((*)\) distinguishing linear and nonlinear, autonomous and nonautonomous cases. He applies the results to a satellite-gyrostat and rotor systems. A special goal is to stabilize such systems.