Negative imaginary (NI) systems theory was introduced by Lanzon and Petersen in. A generalization of the theory was presented in In the single-input single-output (SISO) case, such systems are defined by considering the properties of the imaginary part of the frequency response G(jω) and require the system to have no poles in the right half plane and > 0 for all ω in (0, ∞). This means that a system is Negative imaginary if it is both stable and a nyquist plot will have a phase lag between [-π 0] for all ω > 0. (Wikipedia).
Imaginary Numbers, Functions of Complex Variables: 3D animations.
Visualization explaining imaginary numbers and functions of complex variables. Includes exponentials (Euler’s Formula) and the sine and cosine of complex numbers.
From playlist Physics
Imaginary numbers are any numbers that include the imaginary number i. A mix of imaginary and real numbers gives you what’s called a complex number. The primary reason we use imaginary numbers is to give us a way to find the root (radical) of a negative number. There’s no way to use real
From playlist Popular Questions
Tutorial - What is an imaginary number
http://www.freemathvideos.com In this video playlist you will learn everything you need to know with complex and imaginary numbers
From playlist Complex Numbers
Ex: Simplifying the Opposites of Negatives Integers
This video provides several examples of simplifying opposites of negative integers. Search Complete Video Library at http://www.mathispower4u.wordpress.com
From playlist Introduction to Integers
logarithm with negative base and negative input
What if we have both a negative base and a negative input in a logarithm! People often say we cannot have a negative number inside of a logarithm. Most of the time log(negative) gives us an imaginary number. But since (-2)^3=-8, so what do you think the answer to log base -2 of -8? Check
From playlist math for fun, complex world
Imaginary Numbers Are Real [Part 11: Wandering in 4 Dimensions]
More information and resources: http://www.welchlabs.com Supporting Code: https://github.com/stephencwelch/Imaginary-Numbers-Are-Real Imaginary numbers are not some wild invention, they are the deep and natural result of extending our number system. Imaginary numbers are all about the di
From playlist Imaginary Numbers are Real
Simplifying a rational expression raised to a negative power
👉 Learn how to simplify expressions using the power rule and the negative exponent rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the exponent outside the p
From playlist Simplify Using the Rules of Exponents
Applying the reciprocal rule with negative exponents to simplify an expression
👉 Learn how to simplify expressions using the power rule and the negative exponent rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the exponent outside the p
From playlist Simplify Using the Rules of Exponents
Introduction to Frequency Domain Analysis
In this video we introduce the concept of frequency domain analysis for a linear dynamic system. At its core, this involves understanding how the system responds to sinusoidal inputs at steady state. We derive the relationship that shows that for a linear system, when it is subjected to
From playlist Control Theory
Imaginary numbers? Weird….but, real…..
TabletClass Math: https://tcmathacademy.com/ Math help with imaginary numbers and complex number system. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/ Math Notes: Pre-Algebra Notes:
From playlist Algebra
How Imaginary Numbers Make Real Physics Easier to Understand
Go to Squarespace.com for a free trial, and when you’re ready to launch, go to http://www.squarespace.com/parthg to save 10% off your first purchase of a website or domain. #imaginarynumber #complexnumbers #physics In this video, we'll look at the basics of complex and imaginary numbers,
From playlist Quantum Physics by Parth G
V6_10: Complex eigenvalues Phase portrait for spiral, ODE systems. Elementary differential equations
Elementary differential equations Video6_10. Solutions for 2x2 linear ODE systems with Complex eigenvalues, complex eigenvalues, Phase portrait and stability for spiral points. Connection to second order equations. Course playlist: https://www.youtube.com/playlist?list=PLbxFfU5GKZz0Gb
From playlist Elementary Differential Equations
GED 2018 Algebra Review (Complex Numbers)
GED exam math and algebra review- this video goes over the concept of complex and real numbers. Free GED Math Course please visit http://gedmathlessons.com
From playlist GED Prep Videos
What is the square root of – 20?
How to find the square root of a negative number. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and printable worksheets, review notes and quiz
From playlist GED Prep Videos
Algebra 2 - Why do we use complex numbers for square roots
http://www.freemathvideos.com presents Intro into complex numbers. In this video playlist I will explain where imaginary and complex numbers come from and how we can use them to help us solve problems. We will also explore the complex property of equality to solve for values of complex nu
From playlist Complex Numbers
imaginary number (i) to 30th power = ?
How to find powers of imaginary numbers with no calculator. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and printable worksheets, review notes
From playlist Pre-Calculus / Trigonometry
What is a Complex Number (a + bi) ? Must Know To PASS Algebra
TabletClass Math: https://tcmathacademy.com/ Math help with complex numbers a + bi. Complex numbers are very important in Algebra and a must know for all students. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at h
From playlist GED Prep Videos
Algebra - Ch. 0.6: Basic Concepts (2 of 36) What are Imaginary Numbers?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the differences between real and imaginary numbers on a number line, a real and imaginary axis, and the x-y plane. Next video in this series can be seen at: https://youtu.be/jqQXoh9YQQY
From playlist ALGEBRA 0.6 BASIC CONCEPTS
(3.5) Types of Behavior of 2D Linear Homogeneous Const Coefficient Systems of ODEs Using Eigenvalues
This lesson explains how to determine the type of of the solution to linear homogeneous constant coefficient systems of ordinary differential equations https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos