Infinite-Horizon Optimal Control in the Discrete-Time Framework (SpringerBriefs in Optimization)

In this book the authors take a rigorous look at the infinite-horizon discrete-time optimal control theory from the viewpoint of Pontryagin’s principles. Several Pontryagin principles are described which govern systems and various criteria which define the notions of optimality, along with a detailed analysis of how each Pontryagin principle relate to each other. The Pontryagin principle is examined in a stochastic setting and results are given which generalize Pontryagin’s principles to multi-criteria problems. ​Infinite-Horizon Optimal Control in the Discrete-Time Framework is aimed toward researchers and PhD students in various scientific fields such as mathematics, applied mathematics, economics, management, sustainable development (such as, of fisheries and of forests), and Bio-medical sciences who are drawn to infinite-horizon discrete-time optimal control problems. In this bookthe authors takea rigorous look at the infinite-horizon discrete-time optimalcontrol theory from the viewpoint of Pontryagin s principles. Several Pontryagin principles are described which govern systems and various criteria which define the notions of optimality, along with a detailed analysis of how each Pontryagin principle relate to each other. The Pontryagin principle is examined in a stochastic setting and results are given which generalize Pontryagin s principles to multi-criteria problems. Infinite-Horizon Optimal Control in the Discrete-Time Frameworkis aimed toward researchers and PhD students in various scientific fields such as mathematics, applied mathematics, economics, management, sustainable development (such as, of fisheries and of forests), and Bio-medical sciences who are drawn to infinite-horizon discrete-time optimal control problems. Front Matter....Pages i-vii Presentation of the Problems and Tools of the Finite Horizon....Pages 1-29 Infinite-Horizon Theorems....Pages 31-62 The Special Case of the Bounded Processes....Pages 63-89 Related Topics....Pages 91-92 Back Matter....Pages 93-126