Control Systems Courses

ICTP Mathematics

Symbolic Dynamics for Nonuniformly Hyperbolic Systems - Lecture 3 of 5

Explores advanced techniques in nonuniformly hyperbolic systems, focusing on symbolic dynamics and Markov partitions. Covers key concepts, challenges, and recent developments in the field of dynamical systems.

• YouTube
• 2 hours 13 minutes
• On-Demand
• Free Video

ICTP Mathematics

Symbolic Dynamics for Nonuniformly Hyperbolic Systems - Lecture 2 of 5

Explores advanced techniques in symbolic dynamics for nonuniformly hyperbolic systems, focusing on graph transforms, recurrence properties, and Markov partitions to analyze complex dynamical behaviors.

• YouTube
• 1 hour 48 minutes
• On-Demand
• Free Video

ICTP Mathematics

Color-Position Symmetry in Interacting Particle Systems

Explore color-position symmetry in particle systems, covering probability, partition functions, and stochastic processes. Gain insights into ASEP and simulation techniques.

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

ICTP Mathematics

Stabilization of Nonlinear Systems by Oscillating Controls with Application

Explore nonlinear system stabilization using oscillating controls, with applications in nonholonomic and fluid dynamics. Covers control design, Lie brackets, and energy cascades.

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

ICTP Mathematics

Control Theory and Large Deviation Principles for PDEs

Explore control theory and large deviation principles for PDEs, covering IID cases, contraction principles, rate functions, and applications to random forces and controllability.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

ICTP Mathematics

Black Holes, Binary Systems, and Gravitational Waves - Comparable-Mass Binaries

Explore comparable-mass binary systems, post-Newtonian theory, and relaxed Einstein equations in the context of gravitational waves and black hole physics.

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

ICTP Mathematics

Black Holes, Binary Systems, and Gravitational Waves - Kerr Black Hole

Explore Kerr black holes, binary systems, and gravitational waves with expert Nicolas Yunes. Delve into advanced concepts like Killing tensors and zero angular momentum observers in this comprehensive lecture.

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

Khan Academy

Changing Coordinate Systems to Help Find a Transformation Matrix - Linear Algebra - Khan Academy

Learn to change coordinate systems to find transformation matrices in standard coordinates, enhancing your understanding of linear algebra concepts and their practical applications.

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

Khan Academy

Orthogonal Complements - Alternate Coordinate Systems (Bases) - Linear Algebra - Khan Academy

Explore orthogonal complements as subspaces in linear algebra. Learn key concepts for understanding multi-dimensional representations and their applications in science and engineering.

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

QuantumTopology

Matching Groups and Gliding Systems

Explore matching groups and gliding systems in topology, delving into advanced mathematical concepts and their applications in quantum mechanics and related fields.

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

Hausdorff Center for Mathematics

Marcello Porta: On the Correlation Energy of Interacting Fermionic Systems in the Mean-Field Regime

Explore ground state properties of homogeneous, interacting Fermi gas in mean-field regime, focusing on correlation energy and recent progress in understanding its precise value through rigorous bosonization techniques.

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

Hausdorff Center for Mathematics

On a Class of Singular Perturbed Elliptic Systems with Asymptotic Phase Segregation

Explores elliptic singular perturbed systems and their convergence to phase segregating systems. Examines existence, uniqueness, and asymptotic behavior, presenting a novel method for solving limiting problems.

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

Hausdorff Center for Mathematics

Refinement Type Systems and Martin Lof Type Theory

Explores refinement type systems, their connection to Martin-Lof type theory, and various notions of comprehension. Discusses recent work on functors as type refinement systems and Isbell duality theorem.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Shapeshifter: A Power App and PCF Showcase - Dynamic Control Rendering

Explore advanced Power Platform development techniques, including Power FX enhancements and dynamic control rendering with PCF, showcasing innovative solutions for complex business needs.

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

Trust but Verify - Unlocking Innovation with Power Platform While Retaining Control

Explore how Power Platform bridges the gap between business innovation and IT governance, enabling citizen developers while maintaining compliance and control.

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