Optimal control problems arising in forest management. (2019)

• Record Type: Book
• Further Information: Note: Alexander J. Zaslavski.
• Authors: Zaslavski, Alexander J
• Contents: Intro; Preface; Contents; 1 Introduction; 1.1 Convex Discrete-Time Problems; 1.2 The Turnpike Phenomenon; 2 Infinite Horizon Optimal Control Problems; 2.1 The Forest Management Problem; 2.2 Infinite Horizon Problems Without Discounting; 2.3 Auxiliary Results; 2.4 Proofs of Theorems 2.6 and 2.7; 2.5 Proof of Theorem 2.9; 2.6 Proof of Theorem 2.10; 2.7 Infinite Horizon Problems with Discounting; 2.8 An Auxiliary Result for Theorem 2.13; 2.9 Proof of Theorem 2.13; 2.10 An Application to the Forest Management Problem; 3 Turnpike Properties; 3.1 Preliminaries and Main Results 3.2 Auxiliary Results3.3 Proof of Theorem 3.2; 3.4 Proof of Theorem 3.3; 3.5 Proof of Theorem 3.4; 3.6 Proof of Theorem 3.5; 3.7 Proof of Theorem 3.6; 3.8 Stability Results; 3.9 Agreeable Programs; 4 Generic Turnpike Properties; 4.1 Preliminaries; 4.2 Equivalence of the Turnpike Properties; 4.3 Generic Results; 5 Structure of Solutions in the Regions Close to the Endpoints; 5.1 Preliminaries; 5.2 Lagrange Problems; 5.3 An Auxiliary Result for Theorem 5.13; 5.4 Proof of Theorem 5.13; 5.5 The First Class of Bolza Problems; 5.6 An Auxiliary Result for Theorem 5.15; 5.7 Proof of Theorem 5.15 5.8 The Second Class of Bolza Problems5.9 Auxiliary Results for Theorem 5.17; 5.10 Proof of Theorem 5.17; 6 Applications to the Forest Management Problem; 6.1 Preliminaries; 6.2 Auxiliary Results; 6.3 Turnpike Results; 6.4 Generic Results; References; Index
• Publisher Details: Cham : Springer
• Publication Date: 2019
• Extent: 1 online resource
• Subjects: 634.9/2; Forest management -- Statistical methods; Electronic books; Electronic books
• Languages: English
• ISBNs: 9783030235871; 3030235874
• Related ISBNs: 9783030235864
• Notes: Note: Includes bibliographical references and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.