Max-Plus Eigenvector Methods for Nonlinear H$_\infty$ Problems: Error Analysis

DOI10.1137/S0363012902414688zbMath1101.93032OpenAlexW2017659935MaRDI QIDQ4652541

William M. McEneaney

Publication date: 28 February 2005

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0363012902414688

zbMATH Keywords

dynamic programmingnumerical methodspartial differential equationsmax-plus algebranonlinear \(H_\infty\) control

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Nonlinear systems in control theory (93C10) (H^infty)-control (93B36) Nonlinear first-order PDEs (35F20)

Related Items (8)

Max-plus matrix method and cycle time assignability and feedback stabilizability for min-max-plus systems ⋮ An approximation method for computing the expected value of max-affine expressions ⋮ Max-plus summation of Fenchel-transformed semigroups for solution of nonlinear Bellman equations ⋮ Analysis and control of max-plus linear discrete-event systems: an introduction ⋮ Exact and approximate approaches to the identification of stochastic MAX-plus-linear systems ⋮ A max-plus based fundamental solution for a class of discrete time linear regulator problems ⋮ Performance bounds for nonlinear systems with a nonlinear ℒ₂-gain property ⋮ Distributed dynamic programming for discrete-time stochastic control, and idempotent algorithms

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