Free Access
Volume 25, 2019
Article Number 74
Number of page(s) 36
Published online 05 December 2019
  1. H. Abou-Kandil, G. Freiling, V. Ionescu and G. Jank, Matrix Riccati Equations in Control and Systems Theory. Birkhäuser, Basel (2003). [CrossRef] [Google Scholar]
  2. D.A. Carlson, A. Haurie and A. Leizarowitz, Infinite Horizon Optimal Control: Deterministic and Stochastic Systems. Springer-Verlag, Berlin (1991). [CrossRef] [Google Scholar]
  3. T. Damm, L. Grüne, M. Stieler and K. Worthmann, An exponential turnpike theorem for dissipative discrete time optimal control problems. SIAM J. Control Optim. 52 (2014) 1935–1957. [Google Scholar]
  4. R. Dorfman, P.A. Samuelson and R.M. Solow, Linear Programming and Economics Analysis. McGraw-Hill, New York (1958). [Google Scholar]
  5. T. Faulwasser, M. Korda, C. N. Jones and D. Bonvin, On turnpike and dissipativity properties of continuous-time optimal control problems. Automatica 81 (2017) 297–304. [CrossRef] [Google Scholar]
  6. L. Grüne and M. Müller, On the relation between strict dissipativity and turnpike properties. Syst. Control Lett. 90 (2016) 45–53. [Google Scholar]
  7. X. Li and J. Yong, Optimal Control Theory for Infinite Dimensional Systems. Birkhäuser, Boston (1995). [CrossRef] [Google Scholar]
  8. H. Lou, Existence of optimal controls for semilinear elliptic equations without Cesari-type conditions. ANZIAM J. 44 (2003) 115–131. [CrossRef] [Google Scholar]
  9. M.A. Mamedov, Asymptotical stability of optimal paths in nonconvex problems, in Optimization: Structure and Applications, edited by C. Pearce and E. Hunt. Springer, New York (2009). [Google Scholar]
  10. L.W. McKenzie, Turnpike theory. Econometrica 44 (1976) 841–865. [Google Scholar]
  11. J. von Neumann, A model of general economic equilibrium. Rev. Econ. Stud. 13 (1945– 1946) 1–9. [Google Scholar]
  12. A. Porretta and E. Zuazua, Long time versus steady state optimal control. SIAM J. Control Optim. 51 (2013) 4242–4273. [Google Scholar]
  13. P.A. Samuelson, A catenary turnpike theorem involving consumption and the golden rule. Am. Econ. Rev. 55 (1965) 486–496. [Google Scholar]
  14. E. Trélat and C. Zhang, Integral and measure-turnpike properties for infinite-dimensional optimal control systems. Math. Control Signals Syst. 30 (2018) 3. [CrossRef] [Google Scholar]
  15. E. Trélat and E. Zuazua, The turnpike property in infinite-dimensional nonlinear optimal control, J. Differ. Equ. 258 (2015) 81–114. [Google Scholar]
  16. J. Warga, Optimal Control of Differential and Functional Equations. Academic Press, New York (1972). [Google Scholar]
  17. A.J. Zaslavski, Turnpike Property in the Calculus of Variations and Optimal Control. Springer, New York (2006). [Google Scholar]

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