WebNext we can give the proof for Theorem 1 Proof. Applying Filippov regularization, the right hand side of (1) transforms into the set-valued function Fgiven by (5). Fis a convex u.s.c. (Proposition 1) and non-empty valued function (Remark 3). Therefore, Theorem 2 can be used and the IVP (1) becomes a continuous IVP of fractional order to which ... WebFeb 1, 2024 · The Poincaré map with its analytical property and the problem of Hopf bifurcation have been studied in Coll et al. (2001) [3] and Filippov (1988) [6] for general systems and in Zou et al. (2006 ...
(PDF) Filippov’s selection theorem and the existence …
WebJul 13, 2024 · In this paper, the fixed-time synchronization problem for a class of memristive neural networks with discontinuous neuron activation functions and mixed time-varying delays is investigated. With the help of the fixed-time stability theory, under the framework of Filippov solution and differential inclusion theory, several new and useful … WebJan 10, 2024 · The solution existence of finite horizon optimal economic growth problems is studied by invoking Filippov's Existence Theorem for optimal control problems with state constraints of the Bolza type from the monograph of L. Cesari [Optimization Theory and Applications, Springer-Verlag, New York, 1983]. pic of playdough
TOPOLOGICAL TRANSITIVITY IMPLIES CHAOS FOR TWO …
WebFilippov existence theorem for Pontryagin's problems (U(t, x) compact), existence theorems for usual Lagrange problems (U = Em), and the Nagumo-Tonelli existence … WebThe implicit function theorem proved in 1959 by A. F. Filippov in 1wx serves as an important tool in the optimal control theory. It assumes however some continuity … WebIn this paper, we present an impulsive version of Filippov’s Theorem for fractional differential inclusions of the form: Dα ∗ y(t) ∈ F(t,y(t)), a.e. t ∈ J\{t1,...,tm}, α ∈ (1,2],) − … topbnews.com