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Lecture
Lyapunov Stability: Theory and Applications
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Related lectures (31)
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Discrete-time Systems and Lyapunov Theory
Covers the review of linear discrete-time systems and Lyapunov theory, focusing on stability and equilibria.
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.
Chaos Theory: Maps and Lyapunov Exponents
Explores chaotic maps, fix points, stability, and Lyapunov exponents in discrete systems, emphasizing their role in determining chaos.
Small Scale Stability: Equilibrium Point
Discusses stability analysis of equilibrium points in dynamical systems.
Phase Transitions: Stability Criteria
Explores phase transitions and stability criteria in thermodynamics, emphasizing entropy, internal energy, and thermodynamic potentials.
Non-Stochastic Control Problem: Online Gradient Boosting
Explores online gradient boosting for non-stochastic control problems, emphasizing policy regret minimization and stability in control.
Mathematical Modeling in Chemistry and Biology
Covers mathematical modeling in chemistry and biology, including chemical reactions, enzymatic kinetics, and population dynamics.
Networked Control Systems: Fundamentals and Stability Analysis
Covers the fundamentals and stability analysis of Networked Control Systems, including software installation, dynamical systems, equilibrium states, and stability testing.
Large Scale Stability in Dynamical Systems
Explores large scale stability in dynamical systems and interconnected behavior.
Chaos Theory: Logistic Map and Periodic Orbits
Explores Chaos Theory, focusing on the logistic map, periodic orbits, and stability conditions.
