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).
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
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
Differential Equations: First Order Linear
We derive the solution to an arbitrary first order linear differential equation.
From playlist First Order Linear Differential Equations
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
Title: On the Algebraic Independence Conjecture for the Generic Painlevé Equations
From playlist Fall 2016
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
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
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
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
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
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
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
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
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
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
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
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
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
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