Linearization Courses and Certifications

NPTEL-NOC IITM

Linear Systems and Linearization: Solved Problems - Part 2

Dive into solved problems on linear systems and linearization techniques in this continuation of the series.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Steve Brunton

Linearizing Around a Fixed Point - Control Bootcamp

Explore linearization of nonlinear systems around fixed points, demonstrated with a simple pendulum example using both manual calculations and MATLAB implementation.

• YouTube
• 31 minutes
• On-Demand
• Free Video

Calculus: Single Variable Part 2 - Differentiation

5 reviews

Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat.

• Coursera
• 10 hours
• On-Demand
• Paid Course

NPTEL;  IIT Bombay

Advanced Process Control

16 reviews

Comprehensive exploration of advanced process control techniques, covering linearization, modeling, stability analysis, stochastic processes, and control design methods for complex industrial systems.

• YouTube
• 1 day 10 hours
• On-Demand
• Free Video

Steve Brunton

Topics in Dynamical Systems - Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos

Explore dynamical systems: fixed points, linearization, manifolds, bifurcations, and chaos. Gain insights into nonlinear dynamics and their applications in describing our changing world.

• YouTube
• 32 minutes
• On-Demand
• Free Video

Power Electronics: State Space Averaging and Linearization - Lecture 25

Explore state space averaging for modeling switching converters and linearization of nonlinear averaged models to realize control-to-output transfer functions in power electronics.

• YouTube
• 51 minutes
• On-Demand
• Free Video

TheIACR

Maximizing Small Root Bounds by Linearization and Applications to Small Secret Exponent RSA

Explore techniques for maximizing small root bounds through linearization, with applications to enhancing security in RSA cryptosystems using small secret exponents.

• YouTube
• 23 minutes
• On-Demand
• Free Video

JuliaHub

Trimming, Linearization and Model Predictive Control Design with JuliaSim - Aircraft Control Systems

Master advanced control engineering techniques using JuliaSim to implement Model Predictive Control, from system modeling and trimming to linearization and closed-loop control, achieving ultra-fast optimization speeds.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Linearization of Nonlinear Systems

Explore the approximation of nonlinear systems and Lyapunov's first method for linearization, enhancing your understanding of system dynamics.

• YouTube
• 15 minutes
• On-Demand
• Free Video

非线性控制理论

掌握非线性控制系统的基本理论与分析方法，培养解决实际工程中非线性控制问题的能力，涵盖Lyapunov稳定性、反馈线性化、滑模控制等核心内容。

• XuetangX
• On-Demand
• Free Online Course

Calculus II: Multivariable Functions

9 ratings at edX

This course provides an overview of bachelor-level calculus of multivariable functions (Calculus II). You will review many basic concepts related to differentiation and integration of multivariable functions.

• edX
• 6 weeks, 4-6 hours a week
• On-Demand
• Free Online Course (Audit)

Steve Brunton

Linearization of Nonlinear ODEs, 2x2 Systems, Phase Portraits

Explore linearization techniques for nonlinear ODEs, analyze 2x2 systems, and visualize phase portraits in this advanced engineering mathematics lecture.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Steve Brunton

Engineering Math - Differential Equations and Dynamical Systems

Master differential equations and dynamical systems for real-world modeling in fluid dynamics, weather systems, biomechanics, and control theory with comprehensive mathematical foundations.

• YouTube
• 22 hours 3 minutes
• On-Demand
• Free Video

NPTEL-NOC IITM

Finite Volume Method for Diffusion Equation - Linearization of Source Term and Line-by-Line TDMA

Explore TDMA algorithm, Line by Line TDMA, and source term linearization in finite volume methods for diffusion equations.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Inside Livermore Lab

Guided Deep Learning Manifold Linearization of Porous Media Flow Equations for Digital Twins Operations

Explore advanced techniques in Digital Twin operations for reservoir management, focusing on physics-aware machine learning methods to enhance simulation accuracy and efficiency.

• YouTube
• 56 minutes
• On-Demand
• Free Video