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Lecture - 1 Introduction to System Elements

Lecture -2 Newtons Method and Constraints

Lecture - 3 Derivation of the Lagrangian Equation

Lecture - 4 Using the lagrangian Equation to Obtain Differential Equations(Part-I)

Lecture - 5 Using the lagrangian Equation to Obtain Differential Equations(Part-II)

Lecture - 6 Using the lagrangian Equation to Obtain Differential Equations(Part-III)

Lecture - 7 Using the lagrangian Equation to Obtain Differential Equations(Part-IV)

Lecture - 8 Obtaining First Order Equations

Lecture - 9 Application of the Hamiltonian Method

Lecture - 10 Obtaining Differential Equations Using Kirchoff's Laws

Lecture - 11 The Graph Theory Approach for Electrical Circuits(Part-I)

Lecture - 12 The Graph Theory Approach for Electrical Circuits(Part-II)

Lecture - 13 The Bond Graph Approach-I

Lecture - 14 The Bond Graph Approach-II

Lecture - 15 The Bond Graph Approach-III

Lecture - 16 The Bond Graph Approach-IV

Lecture - 17 The Bond Graph Approach-V

Lecture - 18 The Bond Graph Approach-VI

Lecture - 19 The Bond Graph Approach-VII

Lecture - 20 Numerical Solution of Differential Equations

Lecture - 21 Dynamics in the State Space

Lecture - 22 Vector Field Around Equilibrium Points-I

Lecture - 23 Vector Field Around Equilibrium Points-II

Lecture - 24 Vector Field Around Equilibrium Points-III

Lecture - 25 Vector Field Around Equilibrium Points-IV

Lecture - 26 High Dimensional Linear Systems

Lecture - 27 Linear Systems with External Input-I

Lecture - 28 Linear Systems with External Input-II

Lecture - 29 Linear Systems with External Input-III

Lecture - 30 Dynamics of Nonlinear Systems-I

Lecture - 31 Dynamics of Nonlinear Systems-II

Lecture - 32 Dynamics of Nonlinear Systems-III

Lecture - 33 Discrete-Time Dynamical Systems-I

Lecture - 34 Discrete-Time Dynamical Systems-II

Description:

Instructor: Prof. S. Banerjee, Department of Electrical Engineering, IIT Kharagpur. 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 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.

Dynamics of Physical System

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#Engineering #Electrical Engineering #Mathematics #Graph Theory #Numerical Analysis #Newton's Method

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