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Course11110711860 lectures

Dynamical System and Control

Prof. N. Sukavanam Prof. D. N Pandey · IIT Roorkee

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Lectures

Unit-1

  1. Formulation of Dynamical Systems-I Video
  2. Formulation of Dynamical Systems-II Video
  3. Existence and Uniqueness Theorem-I Video
  4. Existence and Uniqueness Theorem-II Video
  5. Linear Systems-I Video

Unit-2

  1. Linear Systems-II Video
  2. Solutions of Linear Systems-I Video
  3. Solutions of Linear Systems-II Video
  4. Solutions of Linear Systems-III Video
  5. Fundamental Matrix-I Video

Unit-3

  1. Fundamental Matrix-II Video
  2. Fundamental Matrix for Non-Autonomous systems Video
  3. Solutions of Non-Homogeneous Systems Video
  4. Stability of Systems: Equilibrium Points Video
  5. Stability of Linear Autonomous Systems-I Video

Unit-4

  1. Stability of Linear Autonomous Systems-II Video
  2. Stability of Linear Autonomous Systems-III Video
  3. Stability of Weakly Non-Linear Systems-I Video
  4. Stability of Weakly Non-Linear Systems-II Video
  5. Stability of Non-Linear Systems using Linearization Video

Unit-5

  1. Properties of Phase Portrait Video
  2. Properties of Orbits Video
  3. Phase Portrait: Types of Critical Points Video
  4. Phase Portrait of Linear Differential Equations- I Video
  5. Phase Portrait of Linear Differential Equations- II Video

Unit-6

  1. Phase Portrait of Linear Differential Equations-III Video
  2. Poincare Bendixson Theorem Video
  3. Limit Cycle Video
  4. Lyapunov Stability-I Video
  5. Lyapunov Stability-II Video

Unit-7

  1. Introduction to Control Systems-I Video
  2. Introduction to Control Systems-II Video
  3. Controllability of Autonomous Systems Video
  4. Controllability of Non-autonomous Systems Video
  5. Observability-I Video

Unit-8

  1. Observability-II Video
  2. Results on Controllability and Observability Video
  3. Companion Form Video
  4. Feedback Control-I Video
  5. Feedback Control-II Video

Unit-9

  1. Feedback Control-III Video
  2. Feedback Control-IV Video
  3. State Observer Video
  4. Stabilizability Video
  5. Introduction to Discrete Systems-I Video

Unit-10

  1. Introduction to Discrete Systems-II Video
  2. Lyapunov Stability Theory-I Video
  3. Lyapunov Stability Theory-II Video
  4. Lyapunov Stability Theory-III Video
  5. Optimal Control-I Video

Unit-11

  1. Optimal Control- II Video
  2. Optimal Control-III Video
  3. Optimal Control-IV Video
  4. Optimal Control for Discrete Systems-I Video
  5. Optimal Control for Discrete Systems-II Video

Unit 12

  1. Controllability of Discrete Systems Video
  2. Observability of Discrete Systems Video
  3. Stability for Discrete Systems Video
  4. Relation between Continuous and Discrete Systems-I Video
  5. Relation between Continuous and Discrete Systems-II Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Roorkee
Department
Mathematics
Teacher
Prof. N. Sukavanam Prof. D. N Pandey
Level
Undergraduate
Language
English
Subjects
Mathematics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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