Maximal compact positively invariant sets of discrete-time nonlinear systems ?
نویسندگان
چکیده
In this paper we examine the existence problem for maximal compact positively invariant sets of discrete-time nonlinear systems. To find these sets we propose the method based on the localization procedure of compact positively invariant sets. Analysis of a location of compact positively invariant sets and maximal compact positively invariant set of the Chatala system is realized for all values of its parameters.
منابع مشابه
Invariant approximations of robustly positively invariant sets for constrained linear discrete-time systems subject to bounded disturbances
This paper provides results on invariant approximations of robustly positively invariant sets for a discrete-time, linear, time-invariant system subject to state constraints. Two important sets, the minimal and the maximal robustly positively invariant sets and their approximations are investigated. Novel procedures for the computation of invariant approximations to these sets are presented. It...
متن کاملLocalization of Compact Invariant Sets of Nonlinear Systems with Applications to the Lanford System
The method of finding domains in the state space of a nonlinear system which contain all compact invariant sets is presented. We consider continuous-time and discrete-time dynamical systems and control systems which may contain disturbances. The results are based on the fact that any continuous function reaches maximum and minimum on a compact set. This method provides estimates of the areas wi...
متن کاملMaximal Invariant Sets of Multiple Valued Iterative Dynamics in Disturbed Control Systems
Invariant set theory is an important tool in the control theory. It has rich history that goes back over a century, yet it is still an active research topic both in pure mathematics and theoretical engineering. It is easy to reduce a traditional discrete-time control dynamical system to an iterative dynamics of one endomorphism in the phase space. It is not easy to do the same in the presence o...
متن کاملGenerating Discrete Trace Transition System of a Polyhe-dral Invariant Hybrid Automaton
Supervisory control and fault diagnosis of hybrid systems need to have complete information about the discrete states transitions of the underling system. From this point of view, the hybrid system should be abstracted to a Discrete Trace Transition System (DTTS) and represented by a discrete mode transition graph. In this paper an effective method is proposed for generating discrete mode trans...
متن کاملRobust Controlled Invariant Sets for a class of Uncertain Hybrid Systems
Invariant set theory has been widely studied in the literature, see for example [1, 2] and reference therein. [1] gives a compressive review of the invariant set theory. [2] brings together some of the main ideas in set invariance theory and places them in a general, nonlinear setting. A similar concept, maximal safety set, has been studied in the literature of hybrid systems. The authors of [7...
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 2011