An Introduction to Optimal Control Problems in Life Sciences and Economics From Mathematical Models to Numerical Simulation with MATLAB® /

• Main Authors: Aniţa, Sebastian (Author), Arnăutu, Viorel (Author), Capasso, Vincenzo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2011.
• Series: Modeling and Simulation in Science, Engineering and Technology,
• Subjects: Mathematics.; Differential equations.; Game theory.; System theory.; Mathematical models.; Biomathematics.; Control engineering.; Mathematical Modeling and Industrial Mathematics.; Control.; Systems Theory, Control.; Game Theory, Economics, Social and Behav. Sciences.; Mathematical and Computational Biology.; Ordinary Differential Equations.

Combining two important and growing areas of applied mathematics—control theory and modeling—this textbook introduces and builds on methods for simulating and tackling problems in a variety of applied sciences. Control theory has moved from primarily being used in engineering to an important theoret...

Table of Contents:

• An Introduction to MATLAB. Elementary Models with Applications
• Optimal Control of Ordinary Differential Systems. Optimality Conditions
• Optimal Control of Ordinary Differential Systems. Gradient Methods
• Optimal Harvesting for Age-Structured Population
• Optimal Control of Diffusive Models
• Appendices
• References
• Index.