scholarly journals COMPUTATIONAL TECHNIQUE FOR MODELING AND CLUSTERING OF FEEDBACK CONTROL IN GALAXIES USING GRAVITATIONAL THERMODYNAMICS

2017 ◽  
Vol 10 (13) ◽  
pp. 431
Author(s):  
Ankush Rai ◽  
Jagadeesh Kannan R
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Equation Of State ◽  
Feedback Control ◽  
Gravitational Interaction ◽  
Computational Technique ◽  
Expanding Universe ◽  
Mass System ◽  
Gravitational Thermodynamics ◽  
Thermodynamic Equations

A model for clustering of galaxies through relativistic gravitational thermodynamics is laid on. Unlike the theories presented which consists of point mass system in expanding universe we presented the methodology in which partial differential equation & thermodynamic equations with the equation of state in accord with gravitational interaction between particles in order to study extended structures of universe.  

On a Double Integral Variational Problem

1954 ◽  
Vol 6 ◽  
pp. 441-446 ◽  
Author(s):  
P. R. Garabedian ◽  
M. Schiffer
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Equation Of State ◽  
Convex Function ◽  
Variational Problem ◽  
Compressible Fluid ◽  
Subsonic Flow ◽  
Elliptic Partial Differential Equation ◽  
Double Integral ◽  
Image Position

The results presented here were motivated by a desire to give a simple treatment of the non-linear elliptic partial differential equation governing the steady irrotational subsonic flow of an ideal compressible fluid. For two independent space variables x and y, the stream function Ψ of such a flow satisfies an equation,where is an analytic, increasing, convex function of whose explicit form depends on the equation of state of the fluid in question.

Axial Vibration Suppression in a Partial Differential Equation Model of Ascending Mining Cable Elevator

2018 ◽  
Vol 140 (11) ◽  
Author(s):  
Ji Wang ◽  
Shumon Koga ◽  
Yangjun Pi ◽  
Miroslav Krstic
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Feedback Control ◽  
Output Feedback ◽  
Vibration Suppression ◽  
Output Feedback Control ◽  
Control Law ◽  
Axial Vibration ◽  
Hydraulic Actuator ◽  
Partial Differential

Lifting up a cage with miners via a mining cable causes axial vibrations of the cable. These vibration dynamics can be described by a coupled wave partial differential equation-ordinary differential equation (PDE-ODE) system with a Neumann interconnection on a time-varying spatial domain. Such a system is actuated not at the moving cage boundary, but at a separate fixed boundary where a hydraulic actuator acts on a floating sheave. In this paper, an observer-based output-feedback control law for the suppression of the axial vibration in the varying-length mining cable is designed by the backstepping method. The control law is obtained through the estimated distributed vibration displacements constructed via available boundary measurements. The exponential stability of the closed-loop system with the output-feedback control law is shown by Lyapunov analysis. The performance of the proposed controller is investigated via numerical simulation, which illustrates the effective vibration suppression with the fast convergence of the observer error.

Sign in / Sign up

Export Citation Format

Share Document