NOC:Linear Dynamical Systems


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)