Lectures related to Vibratory Mechanics: Cylindrical Buoy

Covers system variables, types of systems, and process control in static and dynamic systems.

Explores control of dynamic systems, impulse response, Laplace transform, and Fourier transform for solving differential equations.

Modeling Dynamic Systems: Definitions and Examples

Covers the modeling of dynamic systems, including definitions, examples, and linearization processes for easier analysis.

Stability: Poles, Zeros, and Control

Covers stability, poles, zeros, and control in dynamic systems, emphasizing the importance of observability.

Dynamic Systems: Course Review

Covers dynamic systems, trajectories, growth models, stability of fixed points, and linearization of models.

Dynamical Approaches to Spectral Theory of Operators

Explores dynamical approaches to the spectral theory of operators, focusing on self-adjoint operators and Schrödinger operators with dynamically defined potentials.

Dynamic Systems: Model Building and Trajectories Representation

Covers model building for switches and trajectory representation in dynamic systems.

Fixed Points and Stability

Explores fixed points and their stability in dynamic systems, emphasizing linear stability analysis.

Dynamical Systems: Mathematical Modeling

Covers mathematical modeling of dynamical systems, focusing on electromechanical systems and DC servomotors.

Discrete Systems Theory

Covers difference equations, dynamic systems, linearity, and impulse response in discrete systems.

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Fourier Series and Harmonics

Covers Fourier series, harmonic decomposition, and limit cycle prediction in dynamic systems.

State-Space Dynamic Response

Covers the computation of transfer functions and system poles and zeros.

Control Systems Review: LTI Systems

Covers linear, causal, and time-invariant systems, with practical examples and MATLAB simulations.

Kalman Filter: State Space Models

Introduces the Kalman Filter for estimating the state of a dynamic system from noisy measurements, covering prediction, updating, and filtering steps.

Dynamic Systems: Springs and Forces

Explores springs under forces using differential equations and mechanics examples.

Bode Diagram Synthesis

Covers the synthesis in the Bode diagram, dynamic controls, and the link between the Bode and Nyquist diagrams.

Multivariable Control: System Theory and Linear Systems

Introduces multivariable control, covering system theory, linear systems, and time discretization.

Dynamic Systems in Biology

Covers dynamic systems in biology, including trajectories, stability, and qualitative analysis.

Electric Motors: Principles and Applications

Explores electric motor principles, linearity, control systems, active suspensions, and Laplace transforms.