Characterization of feedback Nash equilibria for multi-channel systems via a set of non-fragile stabilizing state-feedback solutions and dissipativity inequalities
type: Item
instance of: scholarly article
title: Characterization of feedback Nash equilibria for multi-channel systems via a set of non-fragile stabilizing state-feedback solutions and dissipativity inequalities
zbMATH Open document ID: 1270.93088
author: Getachew K. Befekadu
author: Vijay Gupta
author: Panos J. Antsaklis
published in: MCSS. Mathematics of Control, Signals, and Systems
publication date: 2013-09-09T00:00:00Z
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 94A40
Mathematics Subject Classification ID: 91A10
Mathematics Subject Classification ID: 93D21
zbMATH DE Number: 6206938
zbMATH Keywords: dissipativity properties
zbMATH Keywords: game theory
zbMATH Keywords: multi-channel system
zbMATH Keywords: Nash strategy
zbMATH Keywords: dilated linear matrix inequality
zbMATH Keywords: robust stabilization
MaRDI profile type: Publication
full work available at URL: s00498-012-0105-z
OpenAlex ID: W2017501306
cites work: Necessary conditions for constant solutions of coupled Riccati equations in Nash games
cites work: Robust Dissipativity of Interval Uncertain Linear Systems
cites work: \(H^ \infty\)-optimal control and related minimax design problems. A dynamic game approach.
cites work: Q4317892
cites work: On the central controller: Characterizations via differential games and LEQG control problems
cites work: Multiobjective \({\mathcal H}_2/{\mathcal H}_{\infty}\) control design
cites work: Properties of the solution set of a generalized differential equation
cites work: Extended H 2 and H norm characterizations and controller parametrizations for discrete-time systems
cites work: State-space solutions to standard H/sub 2/ and H/sub infinity / control problems
cites work: Reliable decentralised stabilisation of multi-channel systems: a design method via dilated LMIs and unknown disturbance observers
cites work: A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points
cites work: The ellipsoid method and its consequences in combinatorial optimization
cites work: Stability radius for structured perturbations and the algebraic Riccati equation
cites work: Differential games, dynamic optimization, and generalized control theory
cites work: On values and strategies for infinite-time linear quadratic games
cites work: Time-consistent policies
cites work: Multimodel design of a Nash strategy
cites work: Guaranteed asymptotic stability for a class of uncertain linear dynamical systems
cites work: A Nash game approach to mixed H/sub 2//H/sub ∞/ control
cites work: Q5566063
cites work: Equilibrium Feedback Control in Linear Games with Quadratic Costs
cites work: Values and strategies for infinite time linear quadratic games
cites work: Decentralized stabilization via game theoretic methods
cites work: Q4040443
cites work: On the existence of Nash strategies and solutions to coupled Riccati equations in linear-quadratic games
cites work: Extended LMI characterizations for stability and performance of linear systems
cites work: Nonzero-sum differential games
cites work: Open-loop Nash equilibrium of N-person nonzero sum linear-quadratic differenial gmes with magnitude restraints
cites work: On \(\varepsilon\)-equilibrium point in a noncooperative \(n\)-person game
cites work: Asymptotic analysis of linear feedback Nash equilibria in nonzero-sum linear-quadratic differential games
cites work: Robust equilibria in indefinite linear-quadratic differential games
cites work: N-Person Nonzero Sum Differential Games with Linear Dynamics
cites work: Dissipative dynamical systems. I: General theory
cites work: Dissipative dynamical systems. II: Linear systems with quadratic supply rates
cites work: DISSIPATIVE DYNAMICAL SYSTEMS IN A BEHAVIORAL CONTEXT
cites work: Nonconvex optimization problem: The infinite-horizon linear-quadratic control problem with quadratic constraints
cites work: A quadratic criterion for absolute stability
DOI: 10.1007/S00498-012-0105-Z
description: scientific article; zbMATH DE number 6206938