Max-plus summation of Fenchel-transformed semigroups for solution of nonlinear Bellman equations
DOI10.1016/j.sysconle.2006.10.013zbMath1113.49030OpenAlexW2058247498MaRDI QIDQ875119
Publication date: 11 April 2007
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sysconle.2006.10.013
dynamic programmingLegendre transformpartial differential equationsidempotent analysissemiconvexityMax-plus algebraFenchel transformHamilton--Jacobi--Bellman equations
Dynamic programming in optimal control and differential games (49L20) Control/observation systems governed by partial differential equations (93C20)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Moduloïds and pseudomodules. I: Dimension theory
- Minimax algebra
- A uniqueness result for the Isaacs equation corresponding to nonlinear \(H_\infty\) control
- Strong regularity of matrices -- a survey of results
- Duality and separation theorems in idempotent semimodules.
- An efficient algorithm for Hamilton-Jacobi equations in high dimension
- Max-plus stochastic processes
- Controlled Markov processes and viscosity solutions
- Convergence of the Optimal Feedback Policies in a Numerical Method for a Class of Deterministic Optimal Control Problems
- On a new principle of superposition for optimization problems
- A Curse-of-Dimensionality-Free Numerical Method for Solution of Certain HJB PDEs
- The Max-Plus Finite Element Method for Solving Deterministic Optimal Control Problems: Basic Properties and Convergence Analysis
- L/sub 2/-gain analysis of nonlinear systems and nonlinear state-feedback H/sub infinity / control
- Markov Chain Approximations for Deterministic Control Problems with Affine Dynamics and Quadratic Cost in the Control
- Convergence Analysis for a Class of High-Order Semi-Lagrangian Advection Schemes
- Max-Plus Eigenvector Methods for Nonlinear H$_\infty$ Problems: Error Analysis
- Extending H∞ Control to Nonlinear Systems: Control of Nonlinear Systems to Achieve Performance Objectives
- $\mathcal{H}_\infty $ Control of Nonlinear Systems: Differential Games and Viscosity Solutions
- A Max-Plus-Based Algorithm for a Hamilton--Jacobi--Bellman Equation of Nonlinear Filtering
- Max-plus eigenvector representations for solution of nonlinear H/sub ∞/ problems: Basic concepts
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
- Idempotent functional analysis: An algebraic approach
This page was built for publication: Max-plus summation of Fenchel-transformed semigroups for solution of nonlinear Bellman equations