Two turnpike results for a discrete-time optimal control systems

DOI10.1016/j.na.2008.12.053zbMath1238.49044OpenAlexW4249849926MaRDI QIDQ419850

Zaslavski, Alexander J.

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.12.053

zbMATH Keywords

compact metric spaceturnpike propertygood program

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems in abstract spaces (49K27)

Related Items

Solving infinite-horizon optimal control problems of the time-delayed systems by Haar wavelet collocation method ⋮ Discrete Time Optimal Control Problems on Large Intervals ⋮ Existence and structure of solutions for a class of optimal control systems with discounting arising in economic dynamics ⋮ Stability of a turnpike phenomenon for approximate solutions of nonautonomous discrete-time optimal control systems ⋮ Structure of solutions of discrete time optimal control problems in the regions close to the endpoints ⋮ Existence of solutions for a class of nonconcave infinite horizon optimal control problems ⋮ Convergence of solutions of optimal control problems with discounting on large intervals in the regions close to the endpoints ⋮ Structure of approximate solutions for discrete-time control systems arising in economic dynamics ⋮ An iterative method for suboptimal control of a class of nonlinear time-delayed systems

Cites Work

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• The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
• On the value function for nonautonomous optimal control problems with infinite horizon
• Minimax design of a class of distributed control systems
• Tracking nonperiodic trajectories with the overtaking criterion
• One-dimensional infinite-horizon variational problems arising in continuum mechanics
• On the thermodynamics of periodic phases
• The structure of extremals of a class of second order variational problems
• Optimality in infinite-horizon variational problems under sign conditions
• The value-function of an infinite-horizon linear-quadratic problem
• Turnpike results for discrete-time optimal control systems arising in economic dynamics
• Nonturnpike optimal solutions and their approximations in infinite horizon
• Structure of optimal solutions for discrete-time convex control systems
• Turnpike properties in the calculus of variations and optimal control
• The Existence of Catching-Up Optimal Solutions for a Class of Infinite Horizon Optimal Control Problems with Time Delay
• GROUND STATES IN A MODEL OF FRENKEL-KONTOROVA TYPE
• Turnpike Theory
• On the structure of a class of time‐optimal trajectories
• Turnpike theorem for nonautonomous infinite dimensional discrete-time control systems
• Optimal Programs on Infinite Horizon 1
• Optimal Programs on Infinite Horizon 2
• Infinite horizon quadratic control of linear singularly perturbed systems with small state delays: an asymptotic solution of Riccati-type equations
• Optimal state estimation in high noise