Soluble Approximation of Linear Systems in Max-Plus Algebra
نویسندگان
چکیده
منابع مشابه
Linear Projectors in the max-plus Algebra
In general semimodules, we say that the image of a linear operator B and the kernel of a linear operator C are direct factors if every equivalence class modulo C crosses the image of B at a unique point. For linear maps represented by matrices over certain idempotent semifields such as the (max,+)-semiring, we give necessary and sufficient conditions for an image and a kernel to be direct facto...
متن کاملComputer Tools For Linear Systems Over Max-Plus Algebra
The dynamics analysis for linear systems described by state-space representations in max-plus algebra is addressed within the context of the software facilities offered by the Petri Net Toolbox (PN Toolbox) running under MATLAB. By developing this toolbox, the application field of the MATLAB environment (extremely popular among control engineers) is considerably enlarged towards covering event ...
متن کاملMax-plus algebra and max-plus linear discrete event systems: An introduction
We provide an introduction to the max-plus algebra and explain how it can be used to model a specific class of discrete event systems with synchronization but no concurrency. Such systems are called max-plus linear discrete event systems because they can be described by a model that is “linear” in the max-plus algebra. We discuss some key properties of the max-plus algebra and indicate how thes...
متن کاملLinear systems in (max,+) algebra
Proceedings of the 29th Conference on Decision and Control Honolulu, Dec. 1990 Abstract In this paper, we study the general system of linear equations in the algebra. We introduce a symmetrization of this algebra and a new notion called balance which generalizes classical equations. This construction results in the linear closure of the algebra in the sense that every nondegenerate system of li...
متن کاملApproximation Methods in Stochastic Max-Plus Systems
Cover design: Maryam (Narjes) Shojai Kaveh Cover illustrations: The robot is called Zebro and is designed at DCSC robotic laboratory. The other photos are downloaded from Wikipedia. " Fences are made for those who cannot fly. "
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IFAC Proceedings Volumes
سال: 2001
ISSN: 1474-6670
DOI: 10.1016/s1474-6670(17)39094-8