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