Nonlinear Dynamical Systems and Control

Participants should join this course to gain a strong foundation in nonlinear control, which is essential in modern engineering systems. It helps develop clear analytical thinking and practical skills needed for research, higher studies, and advanced control applications in industry.

• Introduction – Part 1

• Introduction – Part 2

• Ordinary Differential Equations – Part 1

• Ordinary Differential Equations – Part 2

• ODE Solutions via Examples

• Solutions to ODEs

• Existence and Uniqueness Theorems

• Asymptotic Behaviour of Dynamical Systems – Part 1

• Asymptotic Behaviour of Dynamical Systems – Part 2

• Asymptotic Behaviour of Dynamical Systems – Part 3

• Stability Theory: Definitions – Part 1

• Stability Theory: Definitions – Part 2

• Stability Theory: Lyapunov Methods – Part 1

• Stability Theory: Lyapunov Methods – Part 2

• Lyapunov Function Examples

• LaSalle’s Invariance Theorem

• Stability Theory: Converse Lyapunov and Instability Theorems

• Solved Problems – Part 1

• Solved Problems – Part 2

• Linear Systems – Part 1

• Linear Systems – Part 2

• Linearization of Nonlinear Systems

• Linear Systems and Linearization: Solved Problems – Part 1

• Linear Systems and Linearization: Solved Problems – Part 2

• Nonlinear Analysis: Key Concepts and Results – Part 1