# Max-Plus Methods for Nonlinear Control and Estimation

255 pages; ISBN 9780817644536

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Title: Max-Plus Methods for Nonlinear Control and Estimation

Author: William M. McEneaney

- Academic > Mathematics > Differential equations > System analysis
- Academic > Mathematics > Differential equations > Control theory
- Academic > Mathematics > Differential equations > Nonlinear control theory
- Academic > Mathematics > General > Mathematics; Handbooks, manuals, etc
- Academic > Mathematics > Analysis
- Mathematics > Differential Equations
- Mathematics > Applied
- Mathematics > Calculus
- Mathematics > Algebra
- Science > System Theory
- Language Arts & Disciplines > Communication
- Technology > Electronics

### In the press

"As is well known, control and estimation of continuous time and continuous space nonlinear systems are difficult to handle. One frequently uses dynamic programming methods to treat such problems. Central to this approach are solutions of the associated Hamilton-Jacobi-Bellman (HJB) equations. The book under review is motivated by solutions of such problems.... The entire book is divided into nine chapters and an appendix. Chapter 1 provides an introduction, and states why the problem to be studied and methods are needed. Concepts of max-plus methods are also provided.... All in all, this is a nicely written book that introduces important topics." **—Mathematical Reviews**

"This outstanding book discusses new theoretical approaches to the study of the control and estimation of continuous-time/continuous-space nonlinear systems to be a challenging problem...This book is the first to provide, within a unified framework, a self-contained comprehensive mathematical theory of the max-plus algebra and some basics of functional analysis over the max-plus algebra...The volume is primarily addressed to applied mathematicians...However, the book will also be useful for scientists from the application areas, in particular, applied scientists from engineering and physics." (Jan Lovisek, Zentralblatt MATH, Vol. 1103 (5), 2007)