TTU Home COE Home Mechanical Engineering Class Websites ME 5313 Control Theory II

Instructor: Dr. Qing Hui

e-mail: qing.hui@ttu.edu

office: ME 201

phone: 2-3563 x-238

office hours: M 1:00-2:00 PM, W 1:00-2:00 PM

Syllabus

Schedule:

CLASS LECTURE HOMEWORK
1/13 Introduction
1/18 Classifications of Dynamical Systems
1/20 Equilibrium Points
1/25 Flows and Vector Fields HW1
1/27 Topology Analysis
2/1 Real Analysis
2/3 Lipschitz Continuity
2/8 Noninear Differential Equations HW2
2/10 Existence and Uniqueness Theorems
2/15 Invariance, Limit Sets
2/17 Periodic Orbits, Limit Cycles, Bendixon's Theorem
2/22 Dulac's Theorem, Poincare-Bendixson Theorem HW3
2/24 Lyapunov Stability Theory
3/1 Lyapunov Stability Theorems
3/3 Proofs of Lyapunov Stability Theorems
3/8 Application of Lyapunov Stability Theorems HW4
3/10 Exam 1
3/22 Domain of Attraction, LaSalle Invariance Principle HW5
3/24 Applications of LaSalle Invariance Principle
3/29 Variable Gradient Method and Krasovskii Method
3/31 Lyapunov Indirect Method
4/5 Lyapunov Theorems for Time-Varying Systems HW6
4/7 No Class
4/12 Applications of Lyapunov Theorems for Time-Varying Systems
4/14 Dissipativity Theory and Passivity
4/19 Nonlinear Control Design Using Passivity HW7
4/21 Exam 2
4/26 Optimal Nonlinear Control Project
4/28 Inverse Optimal Control
5/3 Sliding Mode Control
5/6 Final Exam