The turnpike property in nonlinear optimal control -- a geometric approach
From MaRDI portal
Publication:2665735
DOI10.1016/j.automatica.2021.109939zbMath1478.49006arXiv1903.09069OpenAlexW3206183113MaRDI QIDQ2665735
Noboru Sakamoto, Enrique Zuazua
Publication date: 19 November 2021
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.09069
Nonlinear systems in control theory (93C10) Existence theories for optimal control problems involving relations other than differential equations (49J21)
Related Items (5)
A Dynamical System View on Nonlinear Optimal Control Analysis and Design ⋮ Optimal control problems without terminal constraints: the turnpike property with interior decay ⋮ Coupling by reflection for controlled diffusion processes: turnpike property and large time behavior of Hamilton-Jacobi-Bellman equations ⋮ Turnpike Properties for Mean-Field Linear-Quadratic Optimal Control Problems ⋮ When does stabilizability imply the existence of infinite horizon optimal control in nonlinear systems?
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the relation between strict dissipativity and turnpike properties
- Optimal Neumann control for the 1D wave equation: finite horizon, infinite horizon, boundary tracking terms and the turnpike property
- Economic receding horizon control without terminal constraints
- The turnpike property in finite-dimensional nonlinear optimal control
- A course in \(H_{\infty}\) control theory
- The geometry of the solution set of nonlinear optimal control problems
- Optimal control problems over large time intervals
- Exact turnpike properties and economic NMPC
- Shape turnpike for linear parabolic PDE models
- Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations
- On turnpike and dissipativity properties of continuous-time optimal control problems
- A \(\lambda\)-lemma for normally hyperbolic invariant manifolds
- Saddle points of Hamiltonian systems in convex problems of Lagrange
- Dissipative dynamical systems. I: General theory
- Turnpike properties in the calculus of variations and optimal control
- Maximum Hands-Off Control: A Paradigm of Control Effort Minimization
- An Exponential Turnpike Theorem for Dissipative Discrete Time Optimal Control Problems
- Viscosity Solutions of Hamilton-Jacobi Equations
- The peaking phenomenon and the global stabilization of nonlinear systems
- Asymptotic stabilization of minimum phase nonlinear systems
- L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control
- Canonical forms for symplectic and Hamiltonian matrices
- Analysis of the Hamilton--Jacobi Equation in Nonlinear Control Theory by Symplectic Geometry
- Steady-State and Periodic Exponential Turnpike Property for Optimal Control Problems in Hilbert Spaces
- Turnpike Properties and Strict Dissipativity for Discrete Time Linear Quadratic Optimal Control Problems
- On the Turnpike Phenomenon for Optimal Boundary Control Problems with Hyperbolic Systems
- The turnpike property in semilinear control
- Remarks on Long Time Versus Steady State Optimal Control
- Long Time versus Steady State Optimal Control
- Turnpike theorems by a value function approach
- Optimal Regulation of Nonlinear Dynamical Systems
- A dichotomy in linear control theory
- A contribution to matrix quadratic equations
- Turnpike Theorems for a Generalized Leontief Model
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
This page was built for publication: The turnpike property in nonlinear optimal control -- a geometric approach
