On the Bound of the Synchronization Delay of a Local Automaton
نویسندگان
چکیده
The synchronization delay of an N-state local automaton is known to be O(N 2). It has been conjectured by S. Kim, R. McNaughton and R. McCloskey that, for deterministic local automata, it is O(N 1:5) on a two-letter alphabet and no less than O(N 2) in the general case. We prove that this conjecture is false and that the synchronization delay is (N 2) in all cases.
منابع مشابه
Delay-dependent stability for transparent bilateral teleoperation system: an LMI approach
There are two significant goals in teleoperation systems: Stability and performance. This paper introduces an LMI-based robust control method for bilateral transparent teleoperation systems in presence of model mismatch. The uncertainties in time delay in communication channel, task environment and model parameters of master-slave systems is called model mismatch. The time delay in communicatio...
متن کاملDeterministic Fuzzy Automaton on Subclasses of Fuzzy Regular ω-Languages
In formal language theory, we are mainly interested in the natural language computational aspects of ω-languages. Therefore in this respect it is convenient to consider fuzzy ω-languages. In this paper, we introduce two subclasses of fuzzy regular ω-languages called fuzzy n-local ω-languages and Buchi fuzzy n-local ω-languages, and give some closure properties for those subclasses. We define a ...
متن کاملSynchronization of a Heart Delay Model with Using CPSO Algorithm in Presence of Unknown Parameters
Heart chaotic system and the ability of particle swarm optimization (PSO) method motivated us to benefit the method of chaotic particle swarm optimization (CPSO) to synchronize the heart three-oscillator model. It can be a suitable algorithm for strengthening the controller in presence of unknown parameters. In this paper we apply adaptive control (AC) on heart delay model, also examine the sys...
متن کاملFinite Time Mix Synchronization of Delay Fractional-Order Chaotic Systems
Chaos synchronization of coupled fractional order differential equation is receiving increasing attention because of its potential applications in secure communications and control processing. The aim of this paper is synchronization between two identical or different delay fractional-order chaotic systems in finite time. At first, the predictor-corrector method is used to obtain the solutions ...
متن کاملUnambiguous Automata
We give a new presentation of two results concerning synchronized automata. The first one gives a linear bound on the synchronization delay of complete local automata. The second one gives a cubic bound for the minimal length of a synchronizing pair in a complete synchronized unambiguous automaton. The proofs are based on results on unambiguous monoids of relations. Mathematics Subject Classifi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Theor. Comput. Sci.
دوره 205 شماره
صفحات -
تاریخ انتشار 1998