Lectures in this course:34
1 - Introduction to System Elements (58:08)
2 - Newton's Method and Constraints (57:04)
3 - Derivation of the Lagrangian Equation (52:52)
4 - Using the lagrangian Equation to Obtain Differential Equations (Part-I) (54:21)
5 - Using the lagrangian Equation to Obtain Differential Equations (Part-II) (55:24)
6 - Using the lagrangian Equation to Obtain Differential Equations (Part-III) (54:55)
7 - Using the lagrangian Equation to Obtain Differential Equations (Part-IV) (56:57)
8 - Obtaining First Order Equations (54:50)
9 - Application of the Hamiltonian Method (55:12)
10 - Obtaining Differential Equations Using Kirchoff's Laws (55:22)
11 - The Graph Theory Approach for Electrical Circuits (Part-I) (57:43)
12 - The Graph Theory Approach for Electrical Circuits (Part-II) (55:54)
13 - The Bond Graph Approach-I (55:26)
14 - The Bond Graph Approach-II (56:54)
15 - The Bond Graph Approach-III (56:33)
16 - The Bond Graph Approach-IV (57:20)
17 - The Bond Graph Approach-V (56:08)
18 - The Bond Graph Approach-VI (56:28)
19 - The Bond Graph Approach-VII (54:24)
20 - Numerical Solution of Differential Equations (54:40)
21 - Dynamics in the State Space (57:30)
22 - Vector Field Around Equilibrium Points-I (54:40)
23 - Vector Field Around Equilibrium Points-II (55:30)
24 - Vector Field Around Equilibrium Points-III (57:35)
25 - Vector Field Around Equilibrium Points-IV (56:41)
26 - High Dimensional Linear Systems (58:56)
27 - Linear Systems with External Input-I (57:26)
28 - Linear Systems with External Input-II (59:35)
29 - Linear Systems with External Input-III (58:12)
30 - Dynamics of Nonlinear Systems-I (58:33)
31 - Dynamics of Nonlinear Systems-II (55:27)
32 - Dynamics of Nonlinear Systems-III (57:14)
33 - Discrete-Time Dynamical Systems-I (56:28)
34 - Discrete-Time Dynamical Systems-II (56:25)

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