An infinite-time relaxation theorem for differential inclusions
نویسندگان
چکیده
منابع مشابه
An Infinite-time Relaxation Theorem for Differential Inclusions
The fundamental relaxation result for Lipschitz differential inclusions is the Filippov-Wažewski Relaxation Theorem, which provides approximations of trajectories of a relaxed inclusion on finite intervals. A complementary result is presented, which provides approximations on infinite intervals, but does not guarantee that the approximation and the reference trajectory satisfy the same initial ...
متن کاملA Strong Relaxation Theorem for Maximal Monotone Differential Inclusions with Memory
We consider maximal monotone diierential inclusions with memory. We establish the existence of extremal strong and then we show that they are dense in the solution set of the original equation. As an application, we derive a \bang-bang" principle for nonlinear control systems monitored by maximal monotone diierential equations.
متن کاملA Relaxation Theorem for Differential Inclusions with Applications to Stability Properties
The fundamental Filippov–Wažwski Relaxation Theorem states that the solution set of an initial value problem for a locally Lipschitz inclusion is dense in the solution set of the same initial value problem for the corresponding relaxation inclusion on compact intervals. In our recent work, a complementary result was provided for inclusions with finite dimensional state spaces which says that th...
متن کاملRelaxation Problems Involving Second-Order Differential Inclusions
and Applied Analysis 3 moreover we summarize some properties of a Hartman-type function. Lemma 4 (see [8]). LetG : I×I → R be the function defined as follows: as 0 ≤ t < η, G (t, τ) = { { { { { { { { { {
متن کاملNonsmooth Lyapunov Pairs for Infinite-dimensional First-order Differential Inclusions∗
The main objective of this paper is to provide new explicit criteria to characterize weak lower semicontinuous Lyapunov pairs or functions associated to first-order differential inclusions in Hilbert spaces. These inclusions are governed by a Lipschitzian perturbation of a maximally monotone operator. The dual criteria we give are expressed by the means of the proximal subdifferential of the no...
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: Proceedings of the American Mathematical Society
سال: 2002
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-02-06539-5