Recent Courses
EE6415
Nonlinear Systems Analysis
Mathematical preliminaries (sets, continuity, Lipschitz, vector spaces); Well‑posedness of ODEs; Mechanical systems & Euler–Lagrange models; Second‑order nonlinear systems, phase‑plane & equilibrium analysis; Limit cycles & Poincaré–Bendixson; Stability notions & Lyapunov/La Salle methods; Control design via Lyapunov functions & sliding mode.
EE6412
Optimal Control
Calculus of variations, Pontryagin's minimum principle, dynamic programming, Hamilton-Jacobi-Bellman equation, and numerical methods for optimal control.
EE5412
Mathematical Methods in System Engineering
Point-Set Topology, Sequences; Sup, Inf, Limit Inf, Limit Sup, and Cauchy Sequences, Series; Limits, Continuity and Differentiability, Metric Spaces and Functions
EE6431
Nonsmooth analysis in control and optimization
Motivating examples; Convex functions & semicontinuity; Normal/tangent cones & projection; Subdifferentials & subgradient calculus; Directional derivatives & steepest descent; Discontinuous system solutions (Carathéodory/Filippov); Lyapunov stability & nonsmooth optimality conditions.
EE6419
Geometric Nonlinear Control Theory
Geometric Control Basics; Manifolds & Coordinate Transformations; Function Theorems & Diffeomorphisms; Submanifolds & Embeddings; Tangent/Cotangent Structures; Push-forward & Pull-back; Vector Fields & Flows; Lie Derivatives & Brackets; Distributions & Involutivity; Feedback Linearization & Nonlinear Controllability.
EE3100
Control Engineering
Classical feedback control, Laplace transforms, transfer functions, root locus, frequency-domain methods, Bode plots, Nyquist criterion, and PID design.
EE1101
Signals & Systems
Continuous-Time signals, Continuous-Time systems, Discrete-time signals and systems, Continuous-time Fourier series, Continuous-time Fourier transform, Laplace transform, Sampling.