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Optimal Control [2010]

1
Overview
2
Measurable Multifunctions and Differential Inclusions
3
Variational Principles
4
Nonsmooth Analysis
5
Subdifferential Calculus
6
The Maximum Principle
7
The Extended Euler–Lagrange and Hamilton Conditions
8
Necessary Conditions for Free End-Time Problems
9
The Maximum Principle for State Constrained Problems
10
Necessary Conditions for Differential Inclusion Problems with State Constraints
11
Regularity of Minimizers
12
Dynamic Programming
1
An introduction to MATLAB<Superscript>®</Superscript>. Elementary models with applications
1
Historical Background
1
Sensibility Function as Convolution of System of Optimization Problems
9
Ordinary Minimum Problems—From the Beginning of Calculus to Kuhn–Tucker
23
Post-Optimal Analysis of Linear Semi-Infinite Programs
43
Calculus of Variations—From Bernoulli to Bliss
55
On Equilibrium Problems
59
Optimal control of ordinary differential systems. Optimality conditions
85
Scalarly Compactness, (<Emphasis Type="Italic">S</Emphasis>)<Subscript>+</Subscript>-Type Conditions, Variational Inequalities and Complementarity Problems in Banach Spaces
87
Minimum Principle of Pontryagin and Hestenes
99
Optimal control of ordinary differential systems. Gradient methods
105
Quasi-equilibrium Inclusion Problems of the Blum–Oettli-Type and Related Problems
121
General Quadratic Programming and Its Applications in Response Surface Analysis
139
Application of the Jacobi Test in Optimal Control and Neighboring Extremals
139
Canonical Dual Solutions for Fixed Cost Quadratic Programs
145
Optimal harvesting for age-structured population
157
Algorithms of Quasidifferentiable Optimization for the Separation of Point Sets
161
Numerical Techniques for the Optimal Control Problem
169
A Hybrid Evolutionary Algorithm for Global Optimization
179
Singular Perturbation Technique and Its Application to Air-to-Air Interception
185
Gap Functions for Vector Equilibrium Problems via Conjugate Duality
185
Optimal control of diffusive models
199
Polynomially Solvable Cases of Binary Quadratic Programs
201
Application to Aircraft Performance: Rutowski and Kaiser’s Techniques and More
217
Application to Rocket Performance: The Goddard Problem
227
Generalized Solutions of Multi-valued Monotone Quasi-variational Inequalities
231
Application to Missile Guidance: Proportional Navigation
241
Application to Time-Optimal Rotational Maneuvers of Flexible Spacecraft
241
Optimal Feedback Control for Stochastic Impulsive Linear Systems Subject to Poisson Processes
257
Index
259
Analysis of Differential Inclusions: Feedback Control Method
263
Supporting Materials
277
A Game Theoretic Algorithm to Solve Riccati and Hamilton—Jacobi—Bellman—Isaacs (HJBI) Equations in H <Subscript>∞</Subscript> Control
309
Online Adaptive Optimal Control Based on Reinforcement Learning
325
Perturbation Methods in Optimal Control Problems
375
Stochastic Optimal Control with Applications in Financial Engineering
409
A Nonlinear Optimal Control Approach to Process Scheduling
423
Hadamard’s Matrices, Grothendieck’s Constant, and Root Two
449
On the Pasture Territories Covering Maximal Grass
463
On Solvability of the Rate Control Problem in Wired-cum-Wireless Networks
479
Integer Programming of Biclustering Based on Graph Models
499
A Random Arrival Time Best-Choice Problem with Uniform Prior on the Number of Arrivals
i
Table of Contents and Preface
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