Introduction to Dynamical System

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Page 2 of 4

Explores stability, reachability, and controllability in linear systems, emphasizing their significance in system analysis.

Covers mathematical modeling in chemistry and biology, including chemical reactions, enzymatic kinetics, and population dynamics.

Explores stability in linear 2D systems, covering fixed points, vector fields, and phase portraits.

Explores Lyapunov stability and Chebyshev inequalities in system analysis and control design.

Explores mechanical energy, equilibrium, and small oscillations in rectilinear motion.

Covers Lyapunov stability analysis, focusing on Lyapunov functions and stability criteria in robotic systems.

Covers the Lyapunov stability theory and its applications in analyzing dynamical systems.

Covers small scale stability at equilibrium points in dynamical systems for engineers.

Explores Lyapunov stability and invariance of dynamical systems through examples and corollaries.

Discusses stability analysis of equilibrium points in dynamical systems.