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34
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Course Description

In the systems sciences the term system equivalence is the notion that a parameter or component of a system behaves in a similar way as a parameter or component of a different system. Similarity means that mathematically the parameters/components will be indistinguishable from each other. Equivalence can be very useful in understanding how complex systems work.

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Course Syllabus
  • 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
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