This book introduces optimal control methods, formulated as optimization problems, applied to business dynamics problems. Business dynamics refers to a combination of business management and financial objectives embedded in a dynamical system model. The model is subject to a control that optimizes a performance index and takes both management and financial aspects into account.

Business Dynamics Models: Optimization-Based One Step Ahead Optimal Control includes solutions that provide a rationale for the use of optimal control and guidelines for further investigation into more complex models, as well as formulations that can also be used in a so-called flight simulator mode to investigate different complex scenarios. The text offers a modern programming environment (Jupyter notebooks in JuMP/Julia) for modeling, simulation, and optimization, and Julia code and notebooks are provided on a website for readers to experiment with their own examples.

This book is intended for students majoring in applied mathematics, business, and engineering. The authors use a formulation-algorithm-example approach, rather than the classical definition-theorem-proof, making the material understandable to senior undergraduates and beginning graduates.

�ber die Autorin bzw. den Autor:

Eugenius Kaszkurewicz was a professor at the Federal University of Rio de Janeiro until his retirement in 2018. He held a research fellowship (level 1A) granted by the Brazilian National Council for Scientific and Technological Development (CNPq) and was a visiting professor at Santa Clara University in California. He is a full member of the Brazilian Academy of Sciences and the Brazilian National Academy of Engineering. He was awarded the Grand Cross Medal of Scientific Order by the Presidency of the Republic of Brazil in 2010.

Amit Bhaya is a full professor at the Federal University of Rio de Janeiro. Since 1992, he has held a research fellowship (level 1A) granted by the Brazilian National Council for Scientific and Technological Development (CNPq). He has served as a consultant on projects in the areas of control and computation for the Brazilian companies Petrobras and Eletrobras, as well as the multinational company Dell-EMC.

Professors Kaszkurewicz and Bhaya are co-authors of the books Matrix Diagonal Stability in Systems and Computation (Birkh�user, 2000) and Control Perspectives on Numerical Algorithms and Matrix Problems (SIAM, 2006).

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