Controllability of Strongly and Weakly Dependent Siphons under Disturbanceless Control
نویسندگان
چکیده
Li and Zhou propose to add monitors Vs to elementary siphons S only while controlling the rest of dependent siphons—important for large systems but far from being maximally permissive. The control policy for weakly dependent siphons (WDS) is rather conservative due to some negative terms in the controllability. We show that this is no longer true as can be shown that it has the same controllability as that for strongly dependent siphons.
منابع مشابه
A survey of siphons in Petri nets
Petri nets have gained increasing usage and acceptance as a basic model of asynchronous concurrent systems since 1962. As a class of structural objects of Petri nets, siphons play a critical role in the analysis and control of systems modeled with Petri nets. This paper surveys the state-of-the-art siphon theory of Petri nets including basic concepts, computation of siphons, controllability con...
متن کاملDeadlock Control for Weighted Systems of Simple Sequential Processes with Resources Requirement (WS3PR)
Current deadlock control approaches for WSPR (Weighted Systems of Simple Sequential Processes with Resources Requirement) suffer from incorrect liveness characterization based on the concept of deadly marked siphons (DMS). We discover that nonlive transitions may exist even though there are no DMS. That is, the net model may be weakly live or in livelock states under no DMS. It is live under a ...
متن کاملA Graphic-Algebraic Computation of Elementary Siphons of BS3PR
Unlike other techniques, Li et al. add control nodes and arcs for only elementary siphons, thus reducing the number of control nodes and arcs required for deadlock control in Petri net supervisors. Their method suffers from the expensive computation of all SMS (Strict Minimal Siphons). We propose a graphic-algebra approach to compute elementary siphons without the knowledge of SMS. We show that...
متن کاملWeakly irreducible ideals
Let $R$ be a commutative ring. The purpose of this article is to introduce a new class of ideals of R called weakly irreducible ideals. This class could be a generalization of the families quasi-primary ideals and strongly irreducible ideals. The relationships between the notions primary, quasi-primary, weakly irreducible, strongly irreducible and irreducible ideals, in different rings, has bee...
متن کاملStrong Topological Regularity and Weak Regularity of Banach Algebras
In this article we study two different generalizations of von Neumann regularity, namely strong topological regularity and weak regularity, in the Banach algebra context. We show that both are hereditary properties and under certain assumptions, weak regularity implies strong topological regularity. Then we consider strong topological regularity of certain concrete algebras. Moreover we obtain ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2012