Nonconvex Optimal Control and Variational Problems is an important contribution to the existing literature in the field and is devoted to the presentation of progress made in the last 15 years of research in the area of optimal control and the calculus of variations.
From the reviews: "This monograph gives a well presented treatment of nonconvex optimal control and variational problems. It is a valuable addition to the control theory literature." (Jafar Zafarani, zbMATH, Vol. 1270, 2013)
Innehållsförteckning
Preface.- 1. Introduction.- 2. Well-posedness of Optimal Control Problems.- 3. Well-posedness and Porosity.- 4. Well-posedness of Nonconvex Variational Problems.- 5. Gerenic Well-posedness result.- 6. Nonoccurrence of the Lavrentiev Phenomenon for Variational Problems.- 7. Nonoccurrence of the Lavrentiev Phenomenon in Optimal Control.- 8. Generic Nonoccurrence of the Lavrentiev phenomenon.- 9. Infinite Dimensional Linear Control Problems.- 10. Uniform Boundedness of Approximate Solutions of Variational Problems.- 11. The Turnpike Property for Approximate Solutions.- 12. A Turnpike Result For Optimal Control Systems.- References.- Index.