Turnpike Phenomenon in Metric Spaces

Alexander J. Zaslavski, Department of Mathematics, Technion – Israel Institute of Technology, Rishon LeZion, Israel.

“This book is a list of results, almost entirely due to the author, about existence of the turnpike phenomenon in some scalar optimisation problems. … Under suitable conditions, the existence of the turnpike property is proved for the simplest one-dimensional problem of the calculus of variations … . stability and genericity results are included. Proofs are presented in complete detail.” (Tullio Zolezzi, zbMATH 1530.49002, 2024)

• Preface.- 1. Introduction.- 2. Differential inclusions.- 3. Discrete-time dynamical systems.- 4. Continuous-time dynamical systems.- 5. General dynamical systems with a Lyapunov function.- 6. Discrete-time nonautonomous problems on half-axis.- 7. Infinite-dimensional control.- 8. Continuous-time nonautonomous problems on half-axis.- 9. Stability and genericity results.- References.- Index.