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
