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
