Uniform persistence and flows near a closed positively invariant set
نویسندگان
چکیده
منابع مشابه
Uniform Persistence and Flows Near a Closed Positively Invariant Set
In this paper, the behavior of a continuous flow in the vicinity of a closed positively .invariant subset in a metric space is investigated. The main theorem in this part in some sense generalizes previous results concerning classification of the flow near a compact invariant set in a locally compact metric space which was described by Ura-Kimura (1960) and Bhatia (1969). By applying the obtain...
متن کاملThe Minimal Robust Positively Invariant Set for Linear Difference Inclusions and its Robust Positively Invariant Approximations
Robust positively invariant (RPI) sets for linear difference inclusions are considered here under the assumption that the linear difference inclusion is absolutely asymptotically stable in the absence of additive state disturbances, which is the case for parametrically uncertain or switching linear discrete-time systems controlled by a stabilizing linear state feedback controller. The existence...
متن کاملClosed Orbits and Uniform S-instability in Invariant Theory
In this paper we consider various problems involving the action of a reductive group G on an affine variety V . We prove some general rationality results about the G-orbits in V . In addition, we extend fundamental results of Kempf and Hesselink regarding optimal destabilizing parabolic subgroups of G for such general G-actions. We apply our general rationality results to answer a question of S...
متن کاملSingular Coverings and Non-Uniform Notions of Closed Set Computability
The empty set of course contains no computable point. On the other hand, surprising results due to Zaslavskĭı, Tsĕıtin, Kreisel, and Lacombe assert the existence of non-empty co-r.e. closed sets devoid of computable points: sets which are even ‘large’ in the sense of positive Lebesgue measure. We observe that a certain size is in fact necessary : every non-empty co-r.e. closed real set without ...
متن کاملA kinetic scheme for pressurised flows in non uniform closed water pipes
The aim of this paper is to present a kinetic numerical scheme for the computations of transient pressurised flows in closed water pipe with non uniform sections. Firstly, we detail the derivation of the mathematical model in curvilinear coordinates and we performe a formal asymptotic analysis. The obtained system is written as a conservative hyperbolic partial differential system of equations....
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: Journal of Dynamics and Differential Equations
سال: 1994
ISSN: 1040-7294,1572-9222
DOI: 10.1007/bf02218848