Modeling and stability analysis for Markov jump networked evolutionary games
type: Item
instance of: scholarly article
title: Modeling and stability analysis for Markov jump networked evolutionary games
zbMATH Open document ID: 1427.93101
DOI: 10.1155/2018/5124343
author: Guodong Zhao
author: Weihai Zhang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper investigates the algebraic formulation and stability analysis for a class of Markov jump networked evolutionary games by using the semitensor product method and presents a number of new results. Firstly, a proper algorithm is constructed to convert the given networked evolutionary games into an algebraic expression. Secondly, based on the algebraic expression, the stability of the given game is analyzed and an equivalent criterion is given. Finally, an example works out to support the new results.
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 91A22
Mathematics Subject Classification ID: 93E15
zbMATH DE Number: 7019079
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5124343
OpenAlex ID: W2901938727
cites work: Analysis and control of Boolean networks. A semi-tensor product approach.
cites work: Q3109057
cites work: Output tracking control of Boolean control networks via state feedback: constant reference signal case
cites work: Controllability Analysis and Control Design for Switched Boolean Networks with State and Input Constraints
cites work: On robust control invariance of Boolean control networks
cites work: Output tracking of switched Boolean networks under open-loop/closed-loop switching signals
cites work: State feedback based output tracking control of probabilistic Boolean networks
cites work: Minimum-time state feedback stabilization of constrained Boolean control networks
cites work: Invertibility of higher order \(k\)-valued logical control networks and its application in trajectory control
cites work: Robust stability and stabilisation of Boolean networks with disturbance inputs
cites work: Pinning control design for robust output tracking of \(k\)-valued logical networks
cites work: Output Regulation of Boolean Control Networks
cites work: Further results on feedback stabilization control design of Boolean control networks
cites work: Stochastic stability and stabilization of \(n\)-person random evolutionary Boolean games
cites work: Lyapunov-Based Stability and Construction of Lyapunov Functions for Boolean Networks
cites work: Stabilization and set stabilization of delayed Boolean control networks based on trajectory stabilization
cites work: Controllability, reachability, and stabilizability of finite automata: a controllability matrix method
cites work: Modelling and strategy optimisation for a kind of networked evolutionary games with memories under the bankruptcy mechanism
cites work: Synchronization of switched logical control networks via event-triggered control
cites work: Model and control for a class of networked evolutionary games with finite memories and time-varying networks
cites work: Modelling and strategy consensus for a class of networked evolutionary games
cites work: Algebraic formulation and strategy optimization for a class of evolutionary networked games via semi-tensor product method
cites work: Modeling, Analysis and Control of Networked Evolutionary Games
cites work: Formulation and optimization control of a class of networked evolutionary games with switched topologies
cites work: Evolutionary game theoretic demand-side management and control for a class of networked smart grid
cites work: LQ Nash Games With Random Entrance: An Infinite Horizon Major Player and Minor Players of Finite Horizons
cites work: University-students game
cites work: A Semi-Tensor Product Approach to Pseudo-Boolean Functions with Application to Boolean Control Networks
cites work: Learning, Local Interaction, and Coordination
cites work: \(\ell_1\)-induced norm and controller synthesis of positive systems
cites work: A matrix approach to modeling and optimization for dynamic games with random entrance
cites work: Stability of nonlinear differential systems with state-dependent delayed impulses
cites work: Stabilization of Delay Systems: Delay-Dependent Impulsive Control
cites work: Effect of delayed impulses on input-to-state stability of nonlinear systems
cites work: An Impulsive Delay Inequality Involving Unbounded Time-Varying Delay and Applications
cites work: Sufficient Stability Conditions of Nonlinear Differential Systems Under Impulsive Control With State-Dependent Delay
cites work: Razumikhin-type theorems for time-delay systems with persistent impulses
cites work: Finite-time stability of uncertain nonlinear systems with time-varying delay
cites work: Sampled-data-based lag synchronization of chaotic delayed neural networks with impulsive control
cites work: Lyapunov Functional Approach to Stability Analysis of Riemann‐Liouville Fractional Neural Networks with Time‐Varying Delays
cites work: Input/output-to-state stability of impulsive switched systems
cites work: Robust finite-time stability of singular nonlinear systems with interval time-varying delay
cites work: m-stability criteria for nonlinear differential systems with additive leakage and transmission time-varying delays
description: scientific article; zbMATH DE number 7019079