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Lecture
Large Scale Stability: Bounded Solutions
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Dynamical System Theory for Engineers: Large Scale Stability
Explores large scale stability in dynamical systems, emphasizing non-increasing trajectories and strict decrease of a specific function.
Large Scale Stability Analysis
Covers large scale stability analysis and properties of dynamical systems solutions.
Dynamical System Theory for Engineers: Large Scale Stability
Covers the concept of large scale stability in dynamical systems.
Small Scale Stability: Equilibrium Point
Discusses stability analysis of equilibrium points in dynamical systems.
Circle Criterion: Stability and Nonlinearity
Covers the concept of passivity in linear systems and the circle criterion for absolute stability.
Stability of LTI Systems: Equilibria and Lyapunov Theory
Covers equilibria, stability analysis, and Lyapunov theory in linear systems, focusing on eigenvalues and stability properties.
Small Scale Stability
Covers small scale stability conditions and asymptotic behavior around fixed points.
Small Scale Stability: Gradient Systems
Explores small scale stability in gradient systems, analyzing trajectories and attractors in phase space.
Small Scale Stability: Equilibrium Point
Covers small scale stability at equilibrium points in dynamical systems for engineers.
Nonlinear Dynamics: Stability and Chaos
Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.