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Related lectures (30)

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Resonators: Coupling and Nonlinearity

Explores resonator coupling, eigenvalues, and nonlinearity origins, including built-in tension effects.

Exact linearization

Explores exact linearization as a method to simplify the analysis of nonlinear systems.

Passivity, Stability and Circle Criterion

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

Linear Systems: Direct Methods

Covers the formulation of linear systems, direct and iterative methods for solving them, and the cost of LU factorization.

Passivity: I

Covers the concept of passivity for linear systems and related properties.

Non-linear dynamics

Explores practical applications in nonlinear dynamics, emphasizing symplectic integration methods and thin lens approximations for accurate computations in accelerator physics.

Stable Estimator of Dynamical System (SEDS)

Explores Stable Estimator of Dynamical Systems (SEDS) for robots, covering stability, modeling, optimization, and limitations.

Optomechanical Dynamics: Insights & Simulations

Explores nonlinear dynamics in optomechanical systems, covering instability, limit cycles, synchronization, chaos, and simulations.

Difference Equations

Covers the concept of difference equations and properties of causal vs. stable systems.

Learning and Adaptive Control for Robots: SEDS & LPV-DS

Explores learning and adaptive control for robots through SEDS and LPV-DS, emphasizing stability, non-linear dynamics, and optimization.