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Lecture
Networked Control Systems: Fundamentals and Stability Analysis
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Stability and Reachability in Multivariable Control
Explores stability, reachability, and controllability in linear systems, emphasizing their significance in system analysis.
Stability of ODE
Explores the stability of Ordinary Differential Equations, focusing on solution dependence, critical data, linearization, and control of nonlinear systems.
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.
Stability and Eigenvalues of LTI Systems
Explores stability and eigenvalues of LTI systems, reachability, and controllability of dynamical systems.
Multivariable Control: System Theory and Applications
Covers system theory, classic feedback control, and applications in green building and natural gas refrigeration plants.
Multivariable Control: System Theory and Linear Systems
Introduces the basics of multivariable control, focusing on system theory and linear systems.
Discrete-time Systems and Lyapunov Theory
Covers the review of linear discrete-time systems and Lyapunov theory, focusing on stability and equilibria.
Convolution and Laplace Transform
Explores control of dynamic systems, impulse response, Laplace transform, and Fourier transform for solving differential equations.
Mathematical Modeling in Chemistry and Biology
Covers mathematical modeling in chemistry and biology, including chemical reactions, enzymatic kinetics, and population dynamics.
Introduction to Dynamical System
Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.
