Optimal control | Matrices

Algebraic Riccati equation

An algebraic Riccati equation is a type of nonlinear equation that arises in the context of infinite-horizon optimal control problems in continuous time or discrete time. A typical algebraic Riccati equation is similar to one of the following: the continuous time algebraic Riccati equation (CARE): or the discrete time algebraic Riccati equation (DARE): P is the unknown n by n symmetric matrix and A, B, Q, R are known real coefficient matrices. Though generally this equation can have many solutions, it is usually specified that we want to obtain the unique stabilizing solution, if such a solution exists. (Wikipedia).

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Riccati ode

Illustrates the solution of a Riccati first-order differential equation. Free books: http://bookboon.com/en/differential-equations-with-youtube-examples-ebook http://www.math.ust.hk/~machas/differential-equations.pdf

From playlist Differential Equations with YouTube Examples

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Introduction to Algebraic Equations (L5.1)

This video defines an algebraic equation. Then a solution of an equation is verified. Equivalent equations are also defined. Video content created by Jenifer Bohart, William Meacham, Judy Sutor, and Donna Guhse from SCC (CC-BY 4.0)

From playlist Introduction to Linear Equations in One Variable

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Differential Equations: First Order Linear

We derive the solution to an arbitrary first order linear differential equation.

From playlist First Order Linear Differential Equations

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The Definition of a Linear Equation in Two Variables

This video defines a linear equation in to variables and provides examples of the different forms of linear equations. http://mathispower4u.com

From playlist The Coordinate Plane, Plotting Points, and Solutions to Linear Equations in Two Variables

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Joel Nagloo 11/11/16 Part 1

Title: On the Algebraic Independence Conjecture for the Generic Painlevé Equations

From playlist Fall 2016

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Algebra - Understanding Quadratic Equations

Visit http://ilectureonline.com for more math and science lectures! In this lecture I will take the mystery out of the quadratic equation and help you understand what it represents.

From playlist ALGEBRA 16, 28 - QUADRATIC EQUATIONS, MAX & MIN

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Arthur Krener: "Al'brekht’s Method in Infinite Dimensions"

High Dimensional Hamilton-Jacobi PDEs 2020 Workshop I: High Dimensional Hamilton-Jacobi Methods in Control and Differential Games "Al'brekht’s Method in Infinite Dimensions" Arthur Krener, Naval Postgraduate School Abstract: Al'brekht's method is a way optimally stabilize a finite dimens

From playlist High Dimensional Hamilton-Jacobi PDEs 2020

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Factors and x intercepts of a quadratic function

👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors (expressions that can be multiplied together to get the or

From playlist Solve Quadratic Equations by Factoring

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Carlos Arreche

Differential transcendence of elliptic hypergeometric functions through Galois theory Elliptic hypergeometric functions were introduced roughly 10 years ago as a generalization of classical hypergeometric functions and q-hypergeometric functions. These special functions enjoy remarkable s

From playlist DART X

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Understanding the discriminant as a part of the quadratic formula

👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by

From playlist Solve by Quadratic Formula | x^2+bx+c

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Johann Mitteramskogler, Johannes Kepler University

March 15, Johann Mitteramskogler, Johannes Kepler University On the construction of simple general solutions of first-order algebraic ODEs

From playlist Spring 2022 Online Kolchin seminar in Differential Algebra

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How to solve quadratic equations by factoring when a is equal to one

👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors (expressions that can be multiplied together to get the or

From playlist Solve Quadratic Equations by Factoring

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How does the discriminant relate to the quadratic formula

👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by

From playlist Solve by Quadratic Formula | ax^2+bx+c

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Peter Benner: Matrix Equations and Model Reduction, Lecture 5

Peter Benner from the Max Planck Institute presents: Matrix Equations and Model Reduction; Lecture 5

From playlist Gene Golub SIAM Summer School Videos

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David Sauzin - On the Resurgent WKB Analysis

Iwill report on a work in progress with F. FAUVET(Université de Strasbourg)and R. SCHIAPPA(University ofLisbon)about the WKB formal expansions solutions to the 1D stationary Schrödinger equation with polynomial coefficients. Our emphasis is on the coequational resurgent structure,

From playlist Resurgence in Mathematics and Physics

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Chern numbers of families of algebraic curves and ordinary differential equations by Sheng-Li Tan

Algebraic Surfaces and Related Topics PROGRAM URL : http://www.icts.res.in/program/AS2015 DESCRIPTION : This is a joint program of ICTS with TIFR, Mumbai and KIAS, Seoul. The theory of surfaces has been the cradle to many powerful ideas in Algebraic Geometry. The problems in this area

From playlist Algebraic Surfaces and Related Topics

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Peter Benner: Matrix Equations and Model Reduction, Lecture 4

Peter Benner from the Max Planck Institute presents: Matrix Equations and Model Reduction; Lecture 4

From playlist Gene Golub SIAM Summer School Videos

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Factoring a trinomials to find the zeros of a function

👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors (expressions that can be multiplied together to get the or

From playlist Solve Quadratic Equations by Factoring

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Introduction to Linear Quadratic Regulator (LQR) Control

In this video we introduce the linear quadratic regulator (LQR) controller. We show that an LQR controller is a full state feedback controller where the gain matrix K is computed by solving an optimization problem. Topics and time stamps: 0:00 - Introduction 4:01 - Introduction to Opt

From playlist Control Theory

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Symplectic matrix | Sylvester equation | Loss function | Hamiltonian matrix | Control theory | Bellman equation | Optimal control | Real number | Matrix (mathematics) | Lyapunov equation | Symmetric matrix | Schur decomposition