ECE 874: Lecture Notes

• Lecture 1 : Second Order Systems (introduction)
• Lecture 2 : Topological Concepts
• Lecture 3 : Contraction Mappings and Continuity
• Lecture 4 : Existence and Uniqueness
• Lecture 5 : Lyapunov stability -autonomous systems
• Lecture 6 : Switched System Stability - Lyapunov Functions
• Lecture 7 : Global Stability, Chetaev's Theorem, positive limit sets
• Lecture 8 : Invariance Principle,Adaptive Control
• Lecture 9 : Lyapunov Indirect Method
• Lecture 10 : Time-Varying Systems, Converse Theorem, Control Lyapunov Functions
• Lecture 11 : Additively Perturbed Systems
• Lecture 12 : Input-to-State Stability
• Lecture 13 : More Input-to-State Stability
• Lecture 14 : LP-gain Stable Systems
• Lecture 15 : More LP-gain Stability
• Lecture 16 : Passivity
• Lecture 17 : Passive Feedback Maps
• Lecture 18 : Passivity-based Control
• Lecture 19 : Dissipative Systems
• Lecture 20 : Feedback linearization
• Lecture 21 : Local Coordinate Transformations
• Lecture 22 : Zero-Dynamics
• Lecture 23 : Local Asymptotic Stabilization
• Lecture 24 : Output Tracking/Disturbance Decoupling
• Lecture 25 : Backstepping
• Lecture 26 : Robust Backstepping
• Lecture 27 : Nonlinear H-infinity Control
• Lecture 28 : Output Feedback Nonlinear Hinf Control
• Lecture 29 : Sliding Mode Control