Lectures related to Passivity in Linear Systems

Passivity, Stability and Circle Criterion

Covers passivity, absolute stability, and the circle criterion in linear systems with feedback.

Covers stability, adaptation, Nyquist criterion, and predicting limit cycle existence.

Explores periodic orbits in Hamiltonian systems and their stability under various conditions.

Stability of LTI Systems: Equilibria and Lyapunov Theory

Covers equilibria, stability analysis, and Lyapunov theory in linear systems, focusing on eigenvalues and stability properties.

Linear Systems in 2D: Stability

Explores stability in linear 2D systems, covering fixed points, vector fields, and phase portraits.

Optimal Control: Linear Quadratic Regulation

Explores linear quadratic regulation for optimal control of linear systems, focusing on minimizing a quadratic cost function to move the system state towards zero.

Circle Criterion: Stability and Nonlinearity

Covers the concept of passivity in linear systems and the circle criterion for absolute stability.

Controlling Behavior in Animals and Robots

Explores the study of behavior in animals and robots, emphasizing the importance of behavior study and the neural mechanisms involved.

Exact Linearization: Earth Dynamics and Stabilization

Explores exact linearization techniques for transforming non-linear systems into linear ones, emphasizing system stability.

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.

Linear Systems: Equilibria and Stability

Explores linear systems' equilibria, stability, and modes, including Lyapunov stability and exponential stability.

Lyapunov Stability Theory: Energy Functions and Stability Analysis

Covers Lyapunov stability theory, energy functions, positive-definite matrices, and system stability analysis through examples and theorems.

Stability and Reachability in Multivariable Control

Explores stability, reachability, and controllability in linear systems, emphasizing their significance in system analysis.

Convergence of Newton's method: theorem

Covers the convergence theorem of Newton's method for nonlinear equations.

Introduction to Nonlinear Systems Control

Covers the analysis and control of nonlinear systems, including methods like phase plan and passivity.

SISO Polynomial Controllers: Sylvester Matrix, Internal Model Principle

Covers the design of SISO polynomial controllers using concepts such as the Sylvester matrix and model matching.

Thymio the Scout MOOC: The Thymio robot as a tool for discovering digital science

Explores Thymio's cautious and alert behavior in an illuminated tunnel.

Behavior of Thymio Robot MOOC: The Thymio robot as a tool for discovering digital science

Explores the behavior of Thymio pre-programmed robots and challenges students to practice different modes.

Thymio the Explorer MOOC: The Thymio robot as a tool for discovering digital science

Explores Thymio, a robot programmed for cautious exploration in tunnels.

Irrational Beliefs: Creationists in the USA

Delves into the mindset of individuals who adopt irrational beliefs, such as creationists in the USA, based on a rejection of science and common sense.