Stability Analysis Courses and Certifications

Hausdorff Center for Mathematics

Polynomial Approximation of Random PDEs by Discrete Least Squares with Observations

Polynomial approximation of random PDEs using discrete least squares with random point observations. Explores stability, error bounds, and optimal index set selection for metamodel construction in high-dimensional parameter spaces.

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

International Mathematical Union

Stability and Recursive Solutions in Hamiltonian PDEs

Explore stability and recursive solutions in Hamiltonian PDEs, focusing on oscillating motions near elliptic fixed points, KAM theory applications, and the interplay between chaotic and recursive phenomena.

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

NPTEL-NOC IITM

Intuition Behind the Dominant and Second Poles in a Miller Compensated OTA

Explore dominant-pole compensation, phase margin, and Miller compensation in operational transconductance amplifiers. Gain insights into pole splitting for improved stability.

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

NPTEL;  IIT Bombay

Advanced Process Control

9 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

Why Would We Want a Multi-Agent System Unstable

Explores Control Barrier Function methods for collision avoidance in multi-agent systems, comparing stability and effectiveness of different algorithms through simulations and vehicle experiments.

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

Differential Equations in Action

2 reviews

Write Python code to find numerical solutions to systems of differential equations. The models you create will fight wildfires, bring spaceships back to earth, and more!

• Udacity
• 8 weeks
• On-Demand
• Free Online Course

Kinetics: Studying Spacecraft Motion

131 ratings at Coursera

Explore spacecraft motion dynamics, from rigid body angular momentum to gravity gradients and momentum exchange devices. Gain skills to model and predict complex spacecraft movements in space.

• Coursera
• 21 hours 6 minutes
• On-Demand
• Free Online Course (Audit)

Control Bootcamp

2 reviews

Rapid overview of optimal control concepts, covering controllability, observability, LQR, and Kalman filter. Applies main approaches to simple Matlab examples for practical understanding.

• YouTube
• 11 hours
• On-Demand
• Free Video

Control Systems Engineering from Scratch

23 ratings at Udemy

Learn all the fundamentals and concepts of Control Systems

• Udemy
• 6 hours
• On-Demand
• Paid Course

Stability and Design of Structural Frames

1 review

Learn fundamental concepts of beam-column behavior and design, frame stability analysis, and second order analysis methods for design. Differentiate between the effective length and direct analysis methods for design.

• edX
• 5 weeks, 6-7 hours a week
• On-Demand
• Free Online Course (Audit)

NPTEL;  IIT Madras

Computational Fluid Dynamics

3 reviews

Explore advanced fluid dynamics simulation techniques, from governing equations to turbulence modeling and complex geometries, enhancing your computational skills for real-world applications.

• YouTube
• 1 day 18 hours
• On-Demand
• Free Video

Stability and Design of Structural Members

Learn fundamental concepts of buckling analysis and design of structural members for stability concerns for beam and column elements.

• edX
• 5 weeks, 5-6 hours a week
• On-Demand
• Free Online Course (Audit)

Ross Dynamics Lab

Bifurcation Theory - Saddle-Node, Hopf, Transcritical, Pitchfork

2 reviews

Explore saddle-node, transcritical, pitchfork, and Hopf bifurcations in dynamical systems. Learn how these phenomena affect phase portraits and system behavior as parameters change.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Geology and Engineering Geology | 工程地质学

地球形成演化、岩石矿物、地质过程、工程地质性质等基础知识,以及水利、岩土、地质工程等专业应用,助你理解地球魅力并有效保护利用地球资源。

• edX
• 11 weeks, 3-6 hours a week
• On-Demand
• Free Online Course (Audit)

IIT Roorkee;  NPTEL

Mathematical Modelling: Analysis and Applications

1 review

Explore mathematical modeling in biological sciences, covering deterministic models, population dynamics, and analytical techniques. Gain skills in discrete and continuous time domains, with focus on graphical solutions and stability analysis.

• Swayam
• 4 weeks
• On-Demand
• Free Online Course