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Lecture
Non-linear Control: Stability Analysis
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Stability of ODE
Explores the stability of Ordinary Differential Equations, focusing on solution dependence, critical data, linearization, and control of nonlinear systems.
Introduction to Nonlinear Systems Control
Covers the analysis and control of nonlinear systems, including methods like phase plan and passivity.
Exact Linearization: Earth Dynamics and Stabilization
Explores exact linearization techniques for transforming non-linear systems into linear ones, emphasizing system stability.
Passivity, Stability and Circle Criterion
Covers passivity, absolute stability, and the circle criterion in linear systems with feedback.
Stability and State Feedback
Covers BIBO stability, Lyapunov stability, state feedback, and eigenvalue assignment.
Lyapunov Stability and Linearization
Explores Lyapunov stability, linearization, and system stability examples.
Circle Criterion: Stability and Nonlinearity
Covers the concept of passivity in linear systems and the circle criterion for absolute stability.
Advanced Numerical Analysis: Space Discretization
Explores advanced space discretization techniques in numerical analysis for solving differential systems efficiently and accurately.
MHD Stability and Equilibrium
Explores MHD equilibrium and stability, emphasizing energy considerations for determining stability.
Nonlinear Dynamics: Stability and Chaos
Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.