Dynamics of Physical System

Indian Institute of Technology Kharagpur

This course covers lessons on newton's method and constraints, bond graph approach, high dimensional linear systems and dynamics of non-linear systems.

Course topics:

  • Introduction to System Elements
  • Newton's Method and Constraints
  • Derivation of the Lagrangian Equation
  • Using the lagrangian Equation to Obtain Differential Equations
  • Obtaining First Order Equations
  • Application of the Hamiltonian Method
  • Obtaining Differential Equations Using Kirchoff's Laws
  • The Graph Theory Approach for Electrical Circuits
  • The Bond Graph Approach
  • Numerical Solution of Differential Equations
  • Dynamics in the State Space
  • Vector Field Around Equilibrium Points
  • High Dimensional Linear Systems
  • Linear Systems with External Input
  • Dynamics of Nonlinear Systems
  • Discrete-Time Dynamical Systems
Course Lectures