Optimal control

Pseudospectral optimal control

Pseudospectral optimal control is a joint theoretical-computational method for solving optimal control problems. It combines pseudospectral (PS) theory with optimal control theory to produce PS optimal control theory. PS optimal control theory has been used in ground and flight systems in military and industrial applications. The techniques have been extensively used to solve a wide range of problems such as those arising in UAV trajectory generation, missile guidance, control of robotic arms, vibration damping, lunar guidance, magnetic control, swing-up and stabilization of an inverted pendulum, orbit transfers, tether libration control, ascent guidance and quantum control. (Wikipedia).

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Limit of sqrt(9x^6 - x)/(x^3 + 1) as x approaches infinity

Limit of sqrt(9x^6 - x)/(x^3 + 1) as x approaches infinity. We divide the numerator and denominator by the sqruare root of x^6 to do this. Note sqrt(x^6) = x^3 in this problem because x is approaching infinity. If you enjoyed this video please consider liking, sharing, and subscribing. U

From playlist Limits at Infinity

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The 3D Axisymmetric Euler Equation: A Pseudospectral Investigation of a... by Rahul Pandit

PROGRAM TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS ORGANIZERS Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India) DATE & TIME 16 January 2023 to 27 January 2023 VENUE Ramanuj

From playlist Turbulence: Problems at the Interface of Mathematics and Physics 2023

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A (Potential) Finite-Time Singularity and Thermalization in the 3D Axisymmetric... by Rahul Pandit

DISCUSSION MEETING : STATISTICAL PHYSICS OF COMPLEX SYSTEMS ORGANIZERS : Sumedha (NISER, India), Abhishek Dhar (ICTS-TIFR, India), Satya Majumdar (University of Paris-Saclay, France), R Rajesh (IMSc, India), Sanjib Sabhapandit (RRI, India) and Tridib Sadhu (TIFR, India) DATE : 19 December

From playlist Statistical Physics of Complex Systems - 2022

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Using parent graphs to understand the left and right hand limits

👉 Learn how to evaluate the limit of an absolute value function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The absolute value function is a function which only takes the positive val

From playlist Evaluate Limits of Absolute Value

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Limit of (sqrt(x + h) - sqrt(x))/(h*sqrt(x(x + h))) as h approaches zero

In this video we find the limit of (sqrt(x + h) - sqrt(x))/(h*sqrt(x(x + h))) as h approaches zero. We do this by first rationalizing the numerator. I hope this helps someone who is learning calculus. Great Calculus Book: https://amzn.to/3VfotAU This is my affiliate link. As an Amazon Ass

From playlist Limits

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Evaluating a limit at infinity horizontal asymptote

👉 We will explore how to evaluate the limit at infinity. When evaluating the limit at infinity or negative infinity we are interested to know where is the graph going right and left. This is also commonly explored as end behavior of the graph. Most of the examples we will look at will incl

From playlist Evaluate Limits at Infinity

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Rotating self-gravitating Bose-Einstein condensates with a crust by Rahul Pandit

DISCUSSION MEETING STATISTICAL PHYSICS: RECENT ADVANCES AND FUTURE DIRECTIONS (ONLINE) ORGANIZERS: Sakuntala Chatterjee (SNBNCBS, Kolkata), Kavita Jain (JNCASR, Bangalore) and Tridib Sadhu (TIFR, Mumbai) DATE: 14 February 2022 to 15 February 2022 VENUE: Online In the past few decades,

From playlist Statistical Physics: Recent advances and Future directions (ONLINE) 2022

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Find the Limit of (sqrt(1 + 2x + 2h) - sqrt(1 + 2x))/h as h approaches zero

In this video we find the limit of (sqrt(1 + 2x + 2h) - sqrt(1 + 2x))/h as h approaches zero. We do this by rationalizing the numerator. I hope this helps someone who is learning calculus. Great Calculus Book: https://amzn.to/3VfotAU This is my affiliate link. As an Amazon Associate I ear

From playlist Limits

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Limits At Infinity

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From playlist Limits

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Determining Limits of Trigonometric Functions

An introductory video on determining limits of trigonometric functions. http://mathispower4u.wordpress.com/

From playlist Limits

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Evaluating the limit at infinity find horizontal asymptote

👉 We will explore how to evaluate the limit at infinity. When evaluating the limit at infinity or negative infinity we are interested to know where is the graph going right and left. This is also commonly explored as end behavior of the graph. Most of the examples we will look at will incl

From playlist Evaluate the Limit..........Help!

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How 2 multiply day 2

Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/simuleios

From playlist Misc

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A review of recent laboratory and numerical simulations of cumulus cloud flows - R. Narasimha

A review of recent laboratory and numerical simulations of cumulus cloud flows R. Narasimha, JNCASR, Bangalore.. DISCUSSION MEETING: MATHEMATICAL PERSPECTIVES ON CLOUDS, CLIMATE, AND TROPICAL METEOROLOGY TUESDAY, 22 JANUARY, 2013 (PART 3)

From playlist Mathematical Perspectives on Clouds, Climate, and Tropical Meteorology

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Nonlinear Tidal Flow Interactions in Convective Shells by Aurélie Astoul

DISCUSSION MEETING WAVES, INSTABILITIES AND MIXING IN ROTATING AND STRATIFIED FLOWS (ONLINE) ORGANIZERS: Thierry Dauxois (CNRS & ENS de Lyon, France), Sylvain Joubaud (ENS de Lyon, France), Manikandan Mathur (IIT Madras, India), Philippe Odier (ENS de Lyon, France) and Anubhab Roy (IIT M

From playlist Waves, Instabilities and Mixing in Rotating and Stratified Flows (ONLINE)

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Multiscaling in Randomly Forced Hydrodynamical Equations by Rahul Pandit

Program Turbulence: Problems at the Interface of Mathematics and Physics (ONLINE) ORGANIZERS: Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (Indian Institute of Science, Bengaluru) DATE: 07 December 202

From playlist Turbulence: Problems at The Interface of Mathematics and Physics (Online)

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Evaluate a limit at infinity with a radical in denominator

👉 We will explore how to evaluate the limit at infinity. When evaluating the limit at infinity or negative infinity we are interested to know where is the graph going right and left. This is also commonly explored as end behavior of the graph. Most of the examples we will look at will incl

From playlist Evaluate Limits at Infinity

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4D galaxy sim [research]

Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/leioslabs

From playlist research

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4D galaxy sim [research]i day 4, 2

Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/leioslabs

From playlist research

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How to evaluate the right hand limit at an asymptote

👉 Learn all about the Limit. In this playlist, we will explore how to evaluate the limit of an equation, piecewise function, table and graph. We will explore continuity as well as discontinuities such as holes, asymptotes and jumps and how they relate to the limit. We will evaluate the g

From playlist Evaluate Limits of Rational Expressions

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Student Presentations

PROGRAM TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS ORGANIZERS: Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India) DATE: 16 January 2023 to 27 January 2023 VENUE: Ramanuja

From playlist Turbulence: Problems at the Interface of Mathematics and Physics 2023

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Numerical integration | Pseudospectral knotting method | Gaussian quadrature | Legendre pseudospectral method | Ross' π lemma | Pseudo-spectral method | Chebyshev polynomials | Ross–Fahroo pseudospectral method | GPOPS-II | Dual number | Bellman pseudospectral method | Covector mapping principle | Ross–Fahroo lemma | Optimal control | Gauss pseudospectral method | Flat pseudospectral method | Chebyshev pseudospectral method | Legendre polynomials | Lagrange polynomial