Positive systems constitute a class of systems that has the important property that its state variables are never negative, given a positive initial state. These systems appear frequently in practical applications, as these variables represent physical quantities, with positive sign (levels, heights, concentrations, etc.). The fact that a system is positive has important implications in the control system design. For instance, an asymptotically stable positive linear time-invariant system always admits a diagonal quadratic Lyapunov function, which makes these systems more numerical tractable in the context of Lyapunov analysis. It is also important to take this positivity into account for state observer design, as standard observers (for example Luenberger observers) might give illogical negative values. (Wikipedia).
Cubic Curve Sketching (1 of 2: Using Factor Lines to determine regions the curve runs through)
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From playlist Further Work with Functions (related content)
Why Does a Negative Times a Negative Equal a Positive
This tutorial uses basic math and logic to demonstrate that a negative times a negative equals a positive. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)
From playlist Basic Math
Review of Linear Time Invariant Systems
http://AllSignalProcessing.com for more great signal-processing content: ad-free videos, concept/screenshot files, quizzes, MATLAB and data files. Review: systems, linear systems, time invariant systems, impulse response and convolution, linear constant-coefficient difference equations
From playlist Introduction and Background
Quadratic System 2 Algebra Regents
In this video we look at the intersection between and linear and quadratic function
From playlist Quadratic Systems
A look at why negative numbers multiply and divide to get positive products or quotients.
From playlist Core Standards - 7th Grade Math
Quadratic System 3 Algebra Regents
In this video we look at the intersection between and linear and quadratic function
From playlist Quadratic Systems
Graphing Rational Functions (1 of 4: Products and their signs)
More resources available at www.misterwootube.com
From playlist Further Work with Functions
Intro to Linear Systems: 2 Equations, 2 Unknowns - Dr Chris Tisdell Live Stream
Free ebook http://tinyurl.com/EngMathYT Basic introduction to linear systems. We discuss the case with 2 equations and 2 unknowns. A linear system is a mathematical model of a system based on the use of a linear operator. Linear systems typically exhibit features and properties that ar
From playlist Intro to Linear Systems
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
System of Particles Translational Motion
For a system of particles in translational motion, we determine the position, velocity, acceleration, linear momentum, and net force. Want Lecture Notes? http://www.flippingphysics.com/system-particles-motion.html This is an AP Physics C: Mechanics topic. Next Video: Introduction to Circu
From playlist Center of Mass - AP Physics C: Mechanics
Mod-06 Lec-35 Lyapunov Function Continued
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics
14. Linearized Analysis of Nonlinear Systems
MIT Electronic Feedback Systems (1985) View the complete course: http://ocw.mit.edu/RES6-010S13 Instructor: James K. Roberge License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Electronic Feedback Systems (1985)
Learning SPECS with GGEZ part 1
I've got my studio set up with a green screen and whiteboard! I'm starting to learn ECS through SPECS in order to be able to continue the ecosystem project. In this episode, we cover what ECS is and begin to integrate SPECS into GGEZ. Links Code - [https://github.com/brooks-bu
From playlist learning SPECS and GGEZ
Lecture 15 - Validating Models
This is Lecture 15 of the CSE519 (Data Science) course taught by Professor Steven Skiena [http://www.cs.stonybrook.edu/~skiena/] at Stony Brook University in 2016. The lecture slides are available at: http://www.cs.stonybrook.edu/~skiena/519 More information may be found here: http://www
From playlist CSE519 - Data Science Fall 2016
Simple Harmonic Motion(SHM) - Graphs of Mechanical Energies
Kinetic energy and elastic potential energy as functions of time graphs for a horizontal mass-spring system in simple harmonic motion are demonstrated. Conservation of energy is shown. Want Lecture Notes? https://www.flippingphysics.com/shm-graphs-energy.html This is an AP Physics 1/JEE/NE
From playlist IB Physics 9.1: Simple Harmonic Motion (HL Only)
Throwing a Ball in a Boat - Demonstrating Center of Mass
When I throw a massive ball to the left such that it lands in the other end of the canoe, what will happen to the positions of the objects? What if the ball does not land in the canoe? This video provides answers and solutions to those questions. Want Lecture Notes? https://www.flippingphy
From playlist Center of Mass - AP Physics 1
Internal Energy, Heat, and Work Thermodynamics, Pressure & Volume, Chemistry Problems
This chemistry video tutorial provides a basic introduction into internal energy, heat, and work as it relates to thermodynamics. It explains how to calculate the change in the internal energy of a gas as well as the pv work that occurs during gas compression or expansion. This tutorial
From playlist New AP & General Chemistry Video Playlist
Live CEOing Ep 647: Language Design Review of Astronomy Continued
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram
From playlist Behind the Scenes in Real-Life Software Design
A Brief History of Number Systems (3 of 3: Negative & Imaginary Numbers)
via YouTube Capture
From playlist Mathematical Exploration