Lecture 1 - Introduction to Optimization Problem: Some Examples

Lecture 2 - Introduction to Optimization Problem: Some Examples (Continued.)

Lecture 3 - Optimality Conditions for Function of Several Variables

Lecture 4 - Optimality Conditions for Function of Several Variables (Continued.)

Lecture 5 - Unconstrained Optimization Problem (Numerical Techniques)

Lecture 6 - Solution of Unconstrained Optimization Problem Using Conjugate Quadient Method and Networks Methods

Lecture 7 - Solution of Unconstrained Optimization Problem Using Conjugate Quadient Method and Networks Methods (Continued.)

Lecture 8 - Solution of Constraint Optimization Problem-Karush-Kuhn Tucker (KKT) Conditions

Lecture 9 - Solution of Constraint Optimization Problem-Karush-Kuhn Tucker (KKT) Conditions (Continued.)

Lecture 10 - Problem and Solution Session

Lecture 11 - Post Optimality Analysis, Convex Function and its Properties

Lecture 12 - Post Optimality Analysis, Convex Function and its Properties (Continued.)

Lecture 13 - Quadratic Optimization Problem Using Linear Programming

Lecture 14 - Matrix form of the Simplex Method

Lecture 15 - Matrix form of the Simplex Method (Continued.)

Lecture 16 - Solution of Linear Programming Using Simplex Method:- Algebraic Approach

Lecture 17 - Solution of Linear Programming Using Simplex Method:- Algebraic Approach (Continued.)

Lecture 18 - Solution of LP Problems with Two Phase Method

Lecture 19 - Solution of LP Problems with Two Phase Method (Continued.)

Lecture 20 - Standard Primal and Dual Problems

Lecture 21 - Relationship Between Primal and Dual Variables

Lecture 22 - Solution of Quadratic Programming Problem Using Simplex Method

Lecture 23 - Interior Point Method for Solving Optimization Problems

Lecture 24 - Interior Point Method for Solving Optimization Problems (Continued.)

Lecture 25 - Solution of Nonlinear Programming Problem Using Exterior Penalty Function Method

Lecture 26 - Solution of Nonlinear Programming Problem Using Exterior Penalty Function Method (Continued.)

Lecture 27 - Solution of Nonlinear Programming Problem Using Interior Penalty Function Method

Lecture 28 - Solution of Nonlinear Programming Problem Using Interior Penalty Function Method (Continued.)

Lecture 29 - Multiobjective Optimization Problem

Lecture 30 - Dynamic Optimization Problem: Basic Concepts and Necessary and Sufficient Condition

Lecture 31 - Dynamic Optimization Problem: Basic Concepts and Necessary and Sufficient Condition (Continued...1)

Lecture 32 - Dynamic Optimization Problem: Basic Concepts and Necessary and Sufficient Condition (Continued...2)

Lecture 33 - Numerical Example and Solution of Optimal Control Problem using Calculus of Variation principle

Lecture 34 - Numerical Example and Solution of Optimal Control Problem using Calculus of Variation principle (Continued.)

Lecture 35 - Hamiltonian Formulation for solution of optimal Control problem and numerical example

Lecture 36 - Hamiltonian Formulation for solution of optimal Control problem and numerical example (Continued.)

Lecture 37 - Performance Indices and Linear Quadratic Regulator Problem

Lecture 38 - Performance Indices and Linear Quadratic Regulator Problem (Continued.)

Lecture 39 - Solution and Stability Analysis of Finite - time LQR Problem: Numerical Example

Lecture 40 - Solution and Infinite - time LQR Problem and Stability Analysis

Lecture 41 - Numerical Example and Methods for Solution of A.R.E.

Lecture 42 - Numerical Example and Methods for Solution of A.R.E. (Continued.)

Lecture 43 - Frequency Domain Interpretation of LQR Controlled System

Lecture 44 - Gain and Phase Margin of LQR Controlled System

Lecture 45 - The Linear Quadratic Gaussian Problem

Lecture 46 - Loop-Transfer Recovery

Lecture 47 - Dynamic Programming for Discrete Time Systems

Lecture 48 - Minimum – Time Control of a Linear Time Invariant System

Lecture 49 - Solution of Minimum – Time Control Problem with an Example

Lecture 50 - Constraint in Control Inputs and State Variables

Lecture 51 - Constraint in Control Inputs and State Variables (Continued...)

Lecture 52 - Norms for Vectors, Matrices, Signals and Linear Systems

Lecture 53 - Signal and System Norms

Lecture 54 - Internal Stability, Sensitivity and Complementary Sensitivity Functions

Lecture 55 - Internal Stability, Sensitivity and Complementary Sensitivity Functions (Continued...)

Lecture 56 - Plant Uncertainty and Standard form for Robust Stability Analysis

Lecture 57 - Plant Uncertainty and Standard form for Robust Stability Analysis (Continued...)

Lecture 58 - Frequency Response of Linear System and Singular Value Decomposition of System

Lecture 59 - Control Problem Statement in H- alpha Framework

Lecture 60 - Control Problem Statement in H - alpha Framework (Continued...)