Lectures related to Optimal Control Theory: OCPs

Networked Control Systems: Fundamentals and Stability Analysis

Covers the fundamentals and stability analysis of Networked Control Systems, including software installation, dynamical systems, equilibrium states, and stability testing.

Differential Calculus: Applications and Reminders

Covers differential calculus applications and reminders, emphasizing the importance of differentiability in mathematical analysis.

Derivability Conditions

Explores conditions for non-differentiability in multivariable calculus and the implications of the differentiability theorem.

Control Theory in Protein Aggregation: Insights and Applications

Explores the application of control theory to manage protein aggregation processes, focusing on amyloid fibers and their implications in various diseases.

Linear Quadratic Optimal Control: Theory and Applications

Explores Linear Quadratic optimal control theory, covering FH-LQ and IH-LQ problems and the importance of observability in control systems.

Implicit Functions

Covers directional derivatives, implicit functions, and the concept of the maximum.

Optimal Control Theory: Basics Log in to Mediaspace to watch this video

Covers the fundamentals of optimal control theory, focusing on defining OCPs, existence of solutions, performance criteria, physical constraints, and the principle of optimality.

Calculus of Variations: Some Topics Log in to Mediaspace to watch this video

Covers fundamental topics in calculus of variations, including minimizers and the Euler-Lagrange equation.

Optimal Control: OCPs Log in to Mediaspace to watch this video

Covers Optimal Control Problems focusing on necessary conditions, existence of optimal controls, and numerical solutions.

Optimal Control: NMPC Log in to Mediaspace to watch this video

Covers Nonlinear Model Predictive Control (NMPC) principles, including setpoint stabilization and Pontryagin's Maximum Principle.

Nonlinear Model Predictive Control Log in to Mediaspace to watch this video

Explores Nonlinear Model Predictive Control, covering stability, optimality, pitfalls, and examples.

Calculus of Variation and Euler's Elastica Log in to Mediaspace to watch this video

Covers variational methods, equilibrium shape of a bent beam, Euler's Elastica, and numerical and analytical methods.

Calculus of Variations: Euler's Elastica Log in to Mediaspace to watch this video

Covers Euler's Elastica and the equilibrium shape of a bent beam using variational/energy methods.

Weak Derivatives: Definition and Properties Log in to Mediaspace to watch this video

Covers weak derivatives, their properties, and applications in functional analysis.

Differentiability of Functions of Several Variables Log in to Mediaspace to watch this video

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

Control Theory Fundamentals Log in to Mediaspace to watch this video

Introduces control theory fundamentals, including controllability and invertibility of systems.

Analyse II: Directional Derivative Log in to Mediaspace to watch this video

Covers the concept and calculation of directional derivatives in multivariable calculus.

Control Theory Fundamentals Log in to Mediaspace to watch this video

Covers the basic concepts of control theory and the selection of optimal controls.

Calculus of Variations and Euler's Elastica Log in to Mediaspace to watch this video

Covers variational methods, equilibrium shapes, Euler's Elastica, and numerical and analytical methods for solving Euler's Elastica.

Calculus of Variations Log in to Mediaspace to watch this video

Covers topics in Calculus of Variations, including regularity results and implicit function theorems.