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On Turnpike and Dissipativity Properties of Continuous-Time Optimal Control Problems
Timm Faulwasser, Milan Korda, Colin N. Jones +1
This paper investigates the relations between three different properties, which are of importance in optimal control problems: dissipativity of the underlying dynamics with respect…
Controller design and value function approximation for nonlinear dynamical systems
Milan Korda, Didier Henrion, Colin N. Jones
This work considers the infinite-time discounted optimal control problem for continuous time input-affine polynomial dynamical systems subject to polynomial state and box input con…
Solving the Infinite-horizon Constrained LQR Problem using Accelerated Dual Proximal Methods
Giorgos Stathopoulos, Milan Korda, Colin N. Jones
This work presents an algorithmic scheme for solving the infinite-time constrained linear quadratic regulation problem. We employ an accelerated version of a popular proximal gradi…
Stability and Performance Verification of Optimization-based Controllers
Milan Korda, Colin N. Jones
This paper presents a method to verify closed-loop properties of optimization-based controllers for deterministic and stochastic constrained polynomial discrete-time dynamical syst…