Stabilization of strictly dissipative discrete time systems with discounted optimal control

DOI10.1016/j.automatica.2018.03.076zbMath1400.93267OpenAlexW2753794385MaRDI QIDQ1797023

Steven R. Weller, Vladimir Gaitsgory, Lars Grüne, Christopher M. Kellett, Matthias Höger

Publication date: 17 October 2018

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://epub.uni-bayreuth.de/3364/1/discounted_stab_dt.pdf

zbMATH Keywords

Lyapunov functionstabilizationstrict dissipativitydiscounted optimal control

Mathematics Subject Classification ID

Controllability (93B05) Applications of optimal control and differential games (49N90) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20)

Related Items (9)

Local turnpike analysis using local dissipativity for discrete time discounted optimal control ⋮ A new dissipativity condition for asymptotic stability of discounted economic MPC ⋮ Stability-constrained Markov decision processes using MPC ⋮ Stochastic optimal control problems of discrete‐time Markov jump systems ⋮ Dissipativity in infinite horizon optimal control and dynamic programming ⋮ Polynomial Approximation of High-Dimensional Hamilton--Jacobi--Bellman Equations and Applications to Feedback Control of Semilinear Parabolic PDEs ⋮ Strict dissipativity for discrete time discounted optimal control problems ⋮ An LMI approach to dissipativity-based control of nonlinear systems ⋮ Adaptive dynamic programming for model‐free tracking of trajectories with time‐varying parameters

Uses Software

• ACADO

Cites Work

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