Differential-algebraic equations (DAEs) are the most natural way to mathematically model many complex systems in science and engineering. This book provides a guide to the theory and practice of modelling with DAEs. In particular, the reader will learn to maximise the performance of their models by optimising the design parameters. Presented within are cutting-edge theory and state-of-the-art numerical methods for the optimal control of differential-algebraic equations, alongside real-world applications of the results. This accessible treatment of the subject, written by leading experts, is suitable for applied mathematicians, engineers and computational scientists from a variety of disciplines. It will be of interest to those developing theory and those working on real-world applications, especially in the optimal control of problems in chemical and mechanical engineering.

About the Authors

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).

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