Blot, Joël.
Infinite-Horizon Optimal Control in the Discrete-Time Framework [electronic resource] / by Joël Blot, Naïla Hayek. - VII, 126 p. online resource. - SpringerBriefs in Optimization, 2190-8354 . - SpringerBriefs in Optimization, .
1. Presentation of the problems and tools of the finite horizon -- 2. Infinite horizon theorems -- 3. The special case of the bounded processes -- Related topics. Appendix A : Sequences -- Appendix B: Static optimization -- References.
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.
9781461490388
10.1007/978-1-4614-9038-8 doi
Mathematics.
Differentiable dynamical systems.
Functional analysis.
Mathematical optimization.
Mathematics.
Calculus of Variations and Optimal Control; Optimization.
Dynamical Systems and Ergodic Theory.
Nonlinear Dynamics.
Functional Analysis.
QA315-316 QA402.3 QA402.5-QA402.6
515.64
Infinite-Horizon Optimal Control in the Discrete-Time Framework [electronic resource] / by Joël Blot, Naïla Hayek. - VII, 126 p. online resource. - SpringerBriefs in Optimization, 2190-8354 . - SpringerBriefs in Optimization, .
1. Presentation of the problems and tools of the finite horizon -- 2. Infinite horizon theorems -- 3. The special case of the bounded processes -- Related topics. Appendix A : Sequences -- Appendix B: Static optimization -- References.
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.
9781461490388
10.1007/978-1-4614-9038-8 doi
Mathematics.
Differentiable dynamical systems.
Functional analysis.
Mathematical optimization.
Mathematics.
Calculus of Variations and Optimal Control; Optimization.
Dynamical Systems and Ergodic Theory.
Nonlinear Dynamics.
Functional Analysis.
QA315-316 QA402.3 QA402.5-QA402.6
515.64