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Dynamics of Physical Systems. Instructor: Prof. S. Banerjee, Department of Electrical Engineering, IIT Kharagpur.
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This course covers lessons on newton's method and constraints, derivation of the Lagrangian equation, bond graph approach, vector field around equilibrium points, high dimensional linear systems and dynamics of nonlinear systems.
One of the important elements of the engineering practice is to be able to predict the behavior of the system that we design. For example, if we design a circuit, we should be able to predict how it will perform, how it will behave under certain circumstances. If we are designing a mechanical system, we should be able to do that. And that is generally done by forming a mathematical model of the system, applying different types of inputs and seeing its performance. (from nptel.ac.in)
Course Currilcum
- Lecture 01 – Introduction to System Elements Unlimited
- Lecture 02 – Newton’s Method and Constraints Unlimited
- Lecture 03 – Derivation of the Lagrangian Equation Unlimited
- Lecture 04 – Using the Lagrangian Equation to Obtain Differential Equations, Part I Unlimited
- Lecture 05 – Using the Lagrangian Equation to Obtain Differential Equations, Part II Unlimited
- Lecture 06 – Using the Lagrangian Equation to Obtain Differential Equations, Part III Unlimited
- Lecture 07 – Using the Lagrangian Equation to Obtain Differential Equations, Part IV Unlimited
- Lecture 08 – Obtaining First Order Equations Unlimited
- Lecture 09 – Application of the Hamiltonian Method Unlimited
- Lecture 10 – Obtaining Differential Equations using Kirchoff’s Laws Unlimited
- Lecture 11 – The Graph Theory Approach for Electrical Circuits, Part I Unlimited
- Lecture 12 – The Graph Theory Approach for Electrical Circuits, Part II Unlimited
- Lecture 13 – The Bond Graph Approach, Part I Unlimited
- Lecture 14 – The Bond Graph Approach, Part II Unlimited
- Lecture 15 – The Bond Graph Approach, Part III Unlimited
- Lecture 16 – The Bond Graph Approach, Part IV Unlimited
- Lecture 17 – The Bond Graph Approach, Part V Unlimited
- Lecture 18 – The Bond Graph Approach, Part VI Unlimited
- Lecture 19 – The Bond Graph Approach, Part VII Unlimited
- Lecture 20 – Numerical Solution of Differential Equations Unlimited
- Lecture 21 – Dynamics in the State Space Unlimited
- Lecture 22 – Vector Field around Equilibrium Points, Part I Unlimited
- Lecture 23 – Vector Field around Equilibrium Points, Part II Unlimited
- Lecture 24 – Vector Field around Equilibrium Points, Part III Unlimited
- Lecture 25 – Vector Field around Equilibrium Points, Part IV Unlimited
- Lecture 26 – High Dimensional Linear Systems Unlimited
- Lecture 27 – Linear Systems with External Input, Part I Unlimited
- Lecture 28 – Linear Systems with External Input, Part II Unlimited
- Lecture 29 – Linear Systems with External Input, Part III Unlimited
- Lecture 30 – Dynamics of Nonlinear Systems, Part I Unlimited
- Lecture 31 – Dynamics of Nonlinear Systems, Part II Unlimited
- Lecture 32 – Dynamics of Nonlinear Systems, Part III Unlimited
- Lecture 33 – Discrete-Time Dynamical Systems, Part I Unlimited
- Lecture 34 – Discrete-Time Dynamical Systems, Part II Unlimited
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