NOC:Dynamical System and Control


Lecture 1 - Formulation of Dynamical Systems - I


Lecture 2 - Formulation of Dynamical Systems - II


Lecture 3 - Existence and Uniqueness Theorem - I


Lecture 4 - Existence and Uniqueness Theorem - II


Lecture 5 - Linear Systems - I


Lecture 6 - Linear Systems - II


Lecture 7 - Solutions of Linear Systems - I


Lecture 8 - Solutions of Linear Systems - II


Lecture 9 - Solutions of Linear Systems - III


Lecture 10 - Fundamental Matrix - I


Lecture 11 - Fundamental Matrix - II


Lecture 12 - Fundamental Matrix for Non-Autonomous systems


Lecture 13 - Solutions of Non-Homogeneous Systems


Lecture 14 - Stability of Systems: Equilibrium Points


Lecture 15 - Stability of Linear Autonomous Systems - I


Lecture 16 - Stability of Linear Autonomous Systems - II


Lecture 17 - Stability of Linear Autonomous Systems - III


Lecture 18 - Stability of Weakly Non-Linear Systems - I


Lecture 19 - Stability of Weakly Non-Linear Systems - II


Lecture 20 - Stability of Non-Linear Systems using Linearization


Lecture 21 - Properties of Phase Portrait


Lecture 22 - Properties of Orbits


Lecture 23 - Phase Portrait: Types of Critical Points


Lecture 24 - Phase Portrait of Linear Differential Equations - I


Lecture 25 - Phase Portrait of Linear Differential Equations - II


Lecture 26 - Phase Portrait of Linear Differential Equations - III


Lecture 27 - Poincare Bendixson Theorem


Lecture 28 - Limit Cycle


Lecture 29 - Lyapunov Stability - I


Lecture 30 - Lyapunov Stability - II


Lecture 31 - Introduction to Control Systems - I


Lecture 32 - Introduction to Control Systems - II


Lecture 33 - Controllability of Autonomous Systems


Lecture 34 - Controllability of Non-autonomous Systems


Lecture 35 - Observability - I


Lecture 36 - Observability - II


Lecture 37 - Results on Controllability and Observability


Lecture 38 - Companion Form


Lecture 39 - Feedback Control - I


Lecture 40 - Feedback Control - II


Lecture 41 - Feedback Control - III


Lecture 42 - Feedback Control - IV


Lecture 43 - State Observer


Lecture 44 - Stabilizability


Lecture 45 - Introduction to Discrete Systems - I


Lecture 46 - Introduction to Discrete Systems - II


Lecture 47 - Lyapunov Stability Theory - I


Lecture 48 - Lyapunov Stability Theory - II


Lecture 49 - Lyapunov Stability Theory - III


Lecture 50 - Optimal Control - I


Lecture 51 - Optimal Control - II


Lecture 52 - Optimal Control - III


Lecture 53 - Optimal Control - IV


Lecture 54 - Optimal Control for Discrete Systems - I


Lecture 55 - Optimal Control for Discrete Systems - II


Lecture 56 - Controllability of Discrete Systems


Lecture 57 - Observability of Discrete Systems


Lecture 58 - Stability for Discrete Systems


Lecture 59 - Relation between Continuous and Discrete Systems - I


Lecture 60 - Relation between Continuous and Discrete Systems - II