Disturbance attenuation of linear quadratic OL-Nash games on repetitive processes with smoothing on the gas dynamics

DOI10.1007/s11045-010-0109-0zbMath1256.49045OpenAlexW2051222277MaRDI QIDQ1937793

Teresa Paula Azevedo-Perdicoúlis, Gerhard Jank

Publication date: 1 February 2013

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11045-010-0109-0

zbMATH Keywords

Nash gamerepetitive process2D-systemdisturbed gamelinear quadratic game

Mathematics Subject Classification ID

Noncooperative games (91A10) Linear-quadratic optimal control problems (49N10) Existence theories in calculus of variations and optimal control (49J99)

Related Items (10)

Stability and robust stabilization of 2-D continuous-discrete systems in Roesser model based on KYP lemma ⋮ Dissipativity and stabilization of nonlinear repetitive processes ⋮ Boundary control of discrete repetitive processes with smoothing: controllability, observability and disturbance attenuation ⋮ KYP lemma based stability and control law design for differential linear repetitive processes with applications ⋮ Disturbance attenuation of linear quadratic OL-Nash games on repetitive processes with smoothing on the gas dynamics ⋮ A note on Nash equilibrium with wave dynamics and boundary control: controllability, observability and stabilizability considerations ⋮ Control law design for discrete linear repetitive processes with non-local updating structures ⋮ Robust control with finite frequency specification for uncertain discrete linear repetitive processes ⋮ Modelling a gas pipeline as a repetitive process: controllability, observability and stability ⋮ Control of differential linear repetitive processes using strong practical stability and ℋ_∞disturbance attenuation

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• Analysis of loop methods for simulating gas networks
• Disturbance attenuation of linear quadratic OL-Nash games on repetitive processes with smoothing on the gas dynamics
• Optimal control of disturbed linear-quadratic differential games
• Stability and stabilisation of acausal discrete linear repetitive processes
• Existence and uniqueness of open-loop nash equilibria in linear-quadratic discrete time games

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