A note on Nash equilibrium with wave dynamics and boundary control: controllability, observability and stabilizability considerations

DOI10.1080/00207179.2018.1536829zbMath1405.93034OpenAlexW2897328003WikidataQ129089704 ScholiaQ129089704MaRDI QIDQ4611744

Paulo Lopes dos Santos, Gerhard Jank, T.-P. Azevedo-Perdicoúlisr

Publication date: 21 January 2019

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2018.1536829

zbMATH Keywords

boundary controlNash equilibrium2D systemsrepetitive processesgas networks modelingdifference games

Mathematics Subject Classification ID

Controllability (93B05) Application models in control theory (93C95) Linear systems in control theory (93C05) Adaptive or robust stabilization (93D21) Observability (93B07)

Cites Work

• Disturbance attenuation in hyperbolic 2D-systems
• Control systems theory and applications for linear repetitive processes.
• On the evaluation of the eigenvalues of a banded Toeplitz block matrix
• Matrix Riccati equations in control and systems theory
• Disturbance attenuation of linear quadratic OL-Nash games on repetitive processes with smoothing on the gas dynamics
• 2D systems based robust iterative learning control using noncausal finite-time interval data
• Decoupling and iterative approaches to the control of discrete linear repetitive processes
• Simulation of transient gas flows in networks
• Existence and uniqueness of open-loop nash equilibria in linear-quadratic discrete time games
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