When does stabilizability imply the existence of infinite horizon optimal control in nonlinear systems?
From MaRDI portal
Publication:2103685
DOI10.1016/j.automatica.2022.110706zbMath1505.93212arXiv2008.13387OpenAlexW3082856855MaRDI QIDQ2103685
Publication date: 9 December 2022
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.13387
Nonlinear systems in control theory (93C10) Existence theories for optimal control problems involving ordinary differential equations (49J15) Exponential stability (93D23)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- \(L_2\)-gain and passivity techniques in nonlinear control
- On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems
- The Pontryagin maximum principle and problems of optimal economic growth
- Functional analysis, Sobolev spaces and partial differential equations
- Semigroups of linear operators and applications to partial differential equations
- An existence result for optimal economic growth problems
- Nonlinear control systems: An introduction
- Optimal control problems over large time intervals
- On a state space approach to nonlinear \(H_ \infty\) control
- Galerkin approximations of the generalized Hamilton-Jacobi-Bellman equation
- New results and examples in nonlinear feedback stabilization
- Case studies on the application of the stable manifold approach for nonlinear optimal control design
- Exact turnpike properties and economic NMPC
- Numerical solutions to the Bellman equation of optimal control
- Constructive nonlinear control
- Value function, relaxation, and transversality conditions in infinite horizon optimal control
- On turnpike and dissipativity properties of continuous-time optimal control problems
- Saddle points of Hamiltonian systems in convex problems of Lagrange
- Turnpike properties in the calculus of variations and optimal control
- On continuous-time infinite horizon optimal control -- dissipativity, stability, and transversality
- The turnpike property in nonlinear optimal control -- a geometric approach
- An Exponential Turnpike Theorem for Dissipative Discrete Time Optimal Control Problems
- On the optimal stabilization of nonlinear systems
- The peaking phenomenon and the global stabilization of nonlinear systems
- Asymptotic stabilization of minimum phase nonlinear systems
- Necessary Conditions for Optimal Control Problems with Infinite Horizons
- Numerical nonlinear regulator design
- 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
- Successive Galerkin approximation algorithms for nonlinear optimal and robust control
- Analytical Approximation Methods for the Stabilizing Solution of the Hamilton–Jacobi Equation
- Remarks on Long Time Versus Steady State Optimal Control
- The Pontryagin Maximum Principle and Transversality Conditions for a Class of Optimal Control Problems with Infinite Time Horizons
- Solutions to the Hamilton-Jacobi Equation With Algebraic Gradients
- 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
- Turnpike Theorems for a Generalized Leontief Model
- Feedback control methodologies for nonlinear systems