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...)