Lecture 1 - Response and state-space solution of Linear systems

Lecture 2 - Solution of LTV systems

Lecture 3 - Solution of LTI systems

Lecture 4 - Equivalent State Equations

Lecture 5 - Realization of LTI and LTV Systems

Lecture 6 - Tutorial - 1

Lecture 7 - Introduction to Stability Analysis

Lecture 8 - Lyapunov Stability - Part I

Lecture 9 - Lyapunov Stability - Part II

Lecture 10 - Proof of lyapunov stability theorem

Lecture 11 - BIBO vs Lyapunov Stability

Lecture 12 - BIBO vs Lyapunov Stability

Lecture 13 - Tutorial - 2

Lecture 14 - Introduction to Controllability

Lecture 15 - Reachability and Controllability Gramians

Lecture 16 - Controllability Matrix

Lecture 17 - Discrete-time Reachability and Controllability Gramians

Lecture 18 - Tests for controllability - I

Lecture 19 - Tests for controllability - II

Lecture 20 - Tutorial - 3

Lecture 21 - Tests for controllability - III

Lecture 22 - Tests for controllability - IV

Lecture 23 - Controllable Decomposition - I

Lecture 24 - Stabilizable Systems

Lecture 25 - Tests for Stabilizability

Lecture 26 - Tutorial - 4

Lecture 27 - State Feeback - I

Lecture 28 - State Feeback - II

Lecture 29 - Lyapunov Method of State Feedback Design

Lecture 30 - Regulation and Tracking

Lecture 31 - Tutorial - 5

Lecture 32 - Robust Tracking and Disturbance Rejection

Lecture 33 - State Feedback design for Multi-input systems

Lecture 34 - Linear Quadratic Regulator

Lecture 35 - Tutorial - 6

Lecture 36 - Output feedback and observability

Lecture 37 - Duality and Observability tests

Lecture 38 - Decompostions and Detectability

Lecture 39 - Minimal Realisations

Lecture 40 - Observer Design and Output Feedback

Lecture 41 - Observer Design and Output Feedback

Lecture 42 - UIO

Lecture 43 - Tutorial - 7 and 8 (combined)