Control and Optimization with Differential-Algebraic Constraints

1. DAEs, control, and optimization; 2. Regularization of linear and nonlinear descriptor systems; 3. Notes on linearization of DAEs and on optimization with differential-algebraic constraints; 4. Spectra and leading directions for linear DAEs; 5. StratiGraph tool: matrix stratifications in control applications; 6. Descriptor system techniques in solving H ₂/-optimal fault detection and isolation problems; 7. Normal forms, high-gain, and funnel control for linear differential-algebraic systems; 8. Linear-quadratic optimal control problems with switch points and a small parameter; 9. Mixed-integer DAE optimal control problems: necessary conditions and bounds; 10. Optimal control of a delay PDE; 11. Direct transcription with moving finite elements; 12. Solving parameter estimation problems with SOCX; 13. Control of integrated chemical process systems using underlying DAE models; 14. DMPC for building temperature regulation; 15. Dynamic regularization, level set shape optimization, and computed myography; 16. The application of Pontryagin's minimum principle for endpoint optimization of batch processes.