Multiperson zero-sum differential games for a class of uncertain nonlinear systems

DOI10.1002/acs.2349zbMath1414.91058OpenAlexW2125102784MaRDI QIDQ2795790

Derong Liu, Qinglai Wei

Publication date: 22 March 2016

Published in: International Journal of Adaptive Control and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/acs.2349

zbMATH Keywords

neural networksuncertain nonlinear systemsadaptive dynamic programmingmultiperson zero-sum differential games

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Differential games (aspects of game theory) (91A23) Nonlinear systems in control theory (93C10) Control/observation systems with incomplete information (93C41) (n)-person games, (n>2) (91A06) Dynamic programming (90C39) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

Neuro-optimal tracking control for a class of discrete-time nonlinear systems via generalized value iteration adaptive dynamic programming approach ⋮ Model-free finite-horizon optimal control of discrete-time two-player zero-sum games ⋮ Optimal distributed synchronization control for continuous-time heterogeneous multi-agent differential graphical games ⋮ Some recent advances in learning and adaptation for uncertain feedback control systems ⋮ Connected cruise control with delayed feedback and disturbance: An adaptive dynamic programming approach

Uses Software

• Matlab

Cites Work

• An iterative adaptive dynamic programming method for solving a class of nonlinear zero-sum differential games
• Multi-player non-zero-sum games: online adaptive learning solution of coupled Hamilton-Jacobi equations
• A single network adaptive critic (SNAC) architecture for optimal control synthesis for a class of nonlinear systems
• Model-free \(Q\)-learning designs for linear discrete-time zero-sum games with application to \(H^\infty\) control
• Online actor-critic algorithm to solve the continuous-time infinite horizon optimal control problem
• Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach
• Q(λ)-learning adaptive fuzzy logic controllers for pursuit-evasion differential games
• High gain observers applied to problems in the stabilization of uncertain linear systems, disturbance attenuation andN∞ optimization
• Policy Iterations on the Hamilton–Jacobi–Isaacs Equation for $H_{\infty}$ State Feedback Control With Input Saturation
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
• Unnamed Item
• Unnamed Item
• Unnamed Item