SBME-702:Optimal Control of Biomedical Processes

Code: 
SBME-702
Title: 
Optimal Control of Biomedical Processes
Credits: 
2
Degree: 
Doctor
Specialization: 
Control Systems Engineering and Biomedical Systems Modeling
Elective Course: 
No

Introduction to nonlinear systems. Equilibrium and stability. Linearization method. Liapunov method. Limit cycles and Bendixon-Poincare theory. Tori and quasi-periodic regime. Strange attractors and deterministic chaos. Fractal geometry. Liapunov exponents.Time series and reconstruction of attractors. Structural stability and bifurcations.Transcritical, saddle-node and pitchfork bifurcations. Hysteresis and cusp. Tangent, Hopf and Neimark-Sacker bifurcations. Flip bifurcation and Feigenbaum cascade. Homochlinic and heteroclinic bifurcation. Numerical methods for bifurcation analysis.