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Lecture
Multivariable Control: Lyapunov Stability and LQR Theorems
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Multivariable Control: Weight Design and Stability Analysis
Explores weight design and stability analysis in multivariable control systems, emphasizing Lyapunov theory and LQR stability.
Multivariable Control: Stability and Lyapunov Theorems
Explores multivariable control, optimal laws, and system stability theorems, emphasizing the importance of observability.
Distributed LQR Control Design
Introduces a suboptimal distributed LQR design for physically coupled systems with stability guarantees and simulation comparisons.
Stability and Eigenvalues of LTI Systems
Explores stability and eigenvalues of LTI systems, reachability, and controllability of dynamical systems.
Circle Criterion: Stability and Nonlinearity
Covers the concept of passivity in linear systems and the circle criterion for absolute stability.
Stability and State Feedback
Covers BIBO stability, Lyapunov stability, state feedback, and eigenvalue assignment.
Stability and Reachability in Multivariable Control
Explores stability, reachability, and controllability in linear systems, emphasizing their significance in system analysis.
Lyapunov Methods: Stability Analysis
Explores Lyapunov methods for analyzing stability in nonlinear control systems using functions and mechanical analogies.
Stability of LTI Systems: Equilibria and Lyapunov Theory
Covers equilibria, stability analysis, and Lyapunov theory in linear systems, focusing on eigenvalues and stability properties.
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.
