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Lecture
Networked Control Systems: Fundamentals and Stability Analysis
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Stability of LTI Systems: Equilibria and Lyapunov Theory
Covers equilibria, stability analysis, and Lyapunov theory in linear systems, focusing on eigenvalues and stability properties.
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Stability: Poles, Zeros, and Control
Covers stability, poles, zeros, and control in dynamic systems, emphasizing the importance of observability.
Modeling Dynamic Systems: Definitions and Examples
Covers the modeling of dynamic systems, including definitions, examples, and linearization processes for easier analysis.
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Explores learning and adaptive control for robots through SEDS and LPV-DS, emphasizing stability, non-linear dynamics, and optimization.
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.
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Covers the general notions of stability in linear systems and the relationship between bounded inputs and bounded outputs.
Multivariable Control: Equilibria and Stability Analysis
Explores equilibria and stability analysis in multivariable control systems, focusing on eigenvalues and system modes.
Optimal Control: Linear Quadratic Regulation
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Circle Criterion: Stability and Nonlinearity
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