Control of mechanical system by moving coordinates and motion in fluids, by applying of additional forces and having coordinates as a function of time.

Abstract

This thesis is about the qualitative Analysis and model of equations concerned to the control of the mechanical system by moving coordinates and locomotion in a fluid. There are two essential different ways of controlling the mechanical system’s motion that is; by applying additional forces and by directly prescribing some of the coordinates as a function of time. Flettner rotor initiates locomotion of mechanical systems in fluid and by changing the position of the mass center gravity or internal mass, the body can then be moved dependently and can be controlled. There is full stabilization realized at any point of space when the mechanical system subjected to circulation. When mechanical system is subjected to non-holonomic constraints whereby the asymptotic stability appertaining to non-equilibrium location gets debilitated and transformed to nonasymptotic. By action of holonomic restraints possessing feeble non-holonomic, a system can be stabilized to stable non-asymptotic. This thesis also model equation of motion for finite-dimensional lagrangian systems and explains the laws of set-valued force that come from the system's interaction with its environs. The laws of a set-valued conditionally rely on geometric form and entities of kinematics. The dissertation qualitatively analyzes into controllability of bodies dealing with countless or infinite-dimension extension, plunged in fluids with viscosity, and with non-zero vorticity. In particular, we can obtain controllability and stabilization properties for these infinite-measurable extents systems.