دانلود کتاب Optimal Control Applied to Biological Models

BASIC OPTIMAL CONTROL PROBLEMS Preliminaries The Basic Problem and Necessary Conditions Pontryagin's Maximum Principle ExercisesEXISTENCE AND OTHER SOLUTION PROPERTIES Existence and Uniqueness Results Interpretation of the Adjoint Principle of Optimality The Hamiltonian and Autonomous Problems ExercisesSTATE CONDITIONS AT THE FINAL TIME Payoff TermsStates with Fixed EndpointsExercisesFORWARD-BACKWARD SWEEP METHOD LAB 1: INTRODUCTORY EXAMPLE LAB 2: MOLD AND FUNGICIDELAB 3: BACTERIABOUNDED CONTROLS Necessary Conditions Numerical Solutions ExercisesLAB 4: BOUNDED CASE LAB 5: CANCER LAB 6: FISH HA. Read more... Abstract: Develops the mathematical aspects of optimal control theory and provides insight into the application of this theory to biological models. This book examines the basic problem for continuous time ordinary differential equations (ODEs). It introduces the optimal control of discrete systems and of partial differential equations (PDEs). Read more...