Control and Optimization with Differential-Algebraic Constraints

Lorenz T. Biegler is the Bayer Professor of Chemical Engineering at Carnegie Mellon University and a Fellow of the American Institute of Chemical Engineers. Stephen L. Campbell is a Distinguished Professor of Mathematics at North Carolina State University. He is a Fellow of the Institute of Electrical and Electronics Engineers (IEEE) and the Society for Industrial and Applied Mathematics (SIAM). Volker Mehrmann is a Professor of Mathematics at TU Berlin. He is a member of acatech (the German Academy of Science and Engineering) and is currently president of GAMM (the German Society for Applied Mathematics and Mechanics).

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 ?/?-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.