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Lecture
Lyapunov II: Stability and Invariance
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Stability and Reachability in Multivariable Control
Explores stability, reachability, and controllability in linear systems, emphasizing their significance in system analysis.
Lyapunov Stability: Theory and Applications
Covers the Lyapunov stability theory and its applications in analyzing dynamical systems.
Nonlinear Dynamics: Stability and Chaos
Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.
Discrete-time Systems and Lyapunov Theory
Covers the review of linear discrete-time systems and Lyapunov theory, focusing on stability and equilibria.
Small Scale Stability: Equilibrium Point
Discusses stability analysis of equilibrium points in dynamical systems.
Stability and Eigenvalues of LTI Systems
Explores stability and eigenvalues of LTI systems, reachability, and controllability of dynamical systems.
Interior Points and Compact Sets
Explores interior points, boundaries, adherence, and compact sets, including definitions and examples.
Small Scale Stability: Gradient Systems
Covers small scale stability in gradient systems, focusing on trajectory properties and equilibrium point attraction.
Non-Stochastic Control Problem: Online Gradient Boosting
Explores online gradient boosting for non-stochastic control problems, emphasizing policy regret minimization and stability in control.
Stability and State Feedback
Covers BIBO stability, Lyapunov stability, state feedback, and eigenvalue assignment.