E-Books durchsuchen

Optimal Control [2012]

1
Stochastic Supply Chain Systems
1
The Calculus of Variations: A Historical Perspective
1
List of Symbols
2
Optimal Control of Basic Integrated Supply Chains
2
Preliminaries
3
Optimal Control of Supply Chains in More General Situations
3
Approximation of The Phase Field Transition System
4
Optimal Control of Supply Chain Systems with Backordering Decisions
4
Optimal Control Problems Governed By The Phase-Field Transition System
5
Optimal Control of Supply Chain Systems with Preventive Maintenance Decisions
5
Methods of Approximation and Algorithms
6
Optimal Control of Supply Chain Systems with Assembly Operation
6
Program Listings and Numerical Results
7
Optimal Control of Supply Chain Systems with Multiple Products
7
ANNEXE A: An Auxiliary System
8
Threshold-Type Control Policies and System Stability for Serial Supply Chain Systems
8
ANNEXE B: Implementation of FEM - Finite Element Method
9
Threshold-Type Control of Supply Chain Systems with Backordering Decisions
9
References
10
Threshold-Type Control of Supply Chain Systems with Preventive Maintenance Decisions
10
Index
11
Threshold-Type Control of Supply Chain Systems with Assembly Operations
12
Threshold-Type Control of Supply Chain Systems with Multiple Products
13
Optimization of Threshold Control Parameters via Numerical Methods
14
Optimization of Threshold Control Parameters via Simulation-Based Methods
15
Conclusions
1
STATIC OPTIMIZATION
19
OPTIMAL CONTROL OF DISCRETE‐TIME SYSTEMS
83
The Pontryagin Maximum Principle: From Necessary Conditions to the Construction of an Optimal Solution
110
OPTIMAL CONTROL OF CONTINUOUS‐TIME SYSTEMS
177
THE TRACKING PROBLEM AND OTHER LQR EXTENSIONS
195
Reachable Sets of Linear Time-Invariant Systems: From Convex Sets to the Bang-Bang Theorem
213
FINAL‐TIME‐FREE AND CONSTRAINED INPUT CONTROL
231
The High-Order Maximum Principle: From Approximations of Reachable Sets to High-Order Necessary Conditions for Optimality
260
DYNAMIC PROGRAMMING
287
OPTIMAL CONTROL FOR POLYNOMIAL SYSTEMS
297
OUTPUT FEEDBACK AND STRUCTURED CONTROL
323
The Method of Characteristics: A Geometric Approach to Sufficient Conditions for a Local Minimum
355
ROBUSTNESS AND MULTIVARIABLE FREQUENCY‐DOMAIN TECHNIQUES
425
Synthesis of Optimal Controlled Trajectories: From Local to Global Solutions
438
DIFFERENTIAL GAMES
461
REINFORCEMENT LEARNING AND OPTIMAL ADAPTIVE CONTROL
485
Control-Affine Systems in Low Dimensions: From Small-Time Reachable Sets to Time-Optimal Syntheses
518
APPENDIX A: REVIEW OF MATRIX ALGEBRA
518
Appendix A: Review of Matrix Algebra
527
REFERENCES
535
INDEX
i
Front Matter
Feedback