Results 41 to 50 of about 10,137,077 (277)
, 2023 Mathematics plays an important role in many fields of finance. In particular, it presents theories and tools widely used in all areas of finance. Moreover, fractional Brownian motion (fBm) and related stochastic systems have been used to model stock ...
T. Sathiyaraj, T. Ambika, Ong Seng Huat
core +1 more source
About the Resolvent Kernel of Neutral Linear Fractional System with Distributed Delays
Mathematics, 2022 The present work considers the initial problem (IP) for a linear neutral system with derivatives in Caputo’s sense of incommensurate order, distributed delay and various kinds of initial functions.
Hristo Kiskinov +2 more
doaj +1 more source
$H_\infty$-Stability Analysis of Fractional Delay Systems of Neutral Type
SIAM Journal on Control and Optimization, 2016 In this paper we consider linear fractional systems of commensurate orders and with commensurate delays, whose characteristic equation is a polynomial in the two variables $s^\alpha$ $(0 < \alpha < 1)$ and $e^{- s \tau}$ ($\tau > 0$). These systems may have single or multiple chains of poles asymptotic to the imaginary axis.
Nguyen, Le Ha Vy +2 more
openaire +1 more source
Controllability of Neutral Fractional Functional Equations with Impulses and Infinite Delay
Abstract and Applied Analysis, 2013 We examine the controllability problem for a class of neutral fractional integrodifferential equations with impulses and infinite delay. More precisely, a set of sufficient conditions are derived for the exact controllability of nonlinear neutral ...
R. Ganesh +4 more
doaj +1 more source
Relative Controllability of ψ-Caputo Fractional Neutral Delay Differential System
Fractal and Fractional, 2023 The aim of this work is to analyze the relative controllability and Ulamn–Hyers stability of the ψ-Caputo fractional neutral delay differential system. We use neutral ψ-delayed perturbation of the Mitttag–Leffler matrix function and Banach contraction principle to examine the Ulam–Hyers stability of our considered system.
Kothandapani Muthuvel +2 more
openaire +2 more sources
Approximate controllability of fractional neutral evolution equations with nonlocal conditions
上海师范大学学报. 自然科学版, 2016 In this paper, the approximate controllability of fractional neutral differential system with nonlocal conditions is studied. By using the theory of fractional power of operators and the Krasnoselskii's fixed point theorem, the existence of mild ...
SHEN Mingyuan, KOU Chunhai, GUO Shaojun
doaj +1 more source
Radar matched filtering using the fractional fourier transform [PDF]
, 2010 -A matched filter is the optimal linear filter for maximizing the signal to noise ratio (SNR) in the presence of additive noise. Matched filters are commonly used in radar systems where the transmitted signal is known and may be used as a replica to be ...
Clemente, Carmine +2 more
core +3 more sources
, 2014 International audienceWe consider fractional delay systems of neutral type and prove that many systems with infinitely many unstable poles cannot be stabilized by the class of rational fractional controllers of commensurate order.
Le Ha Vy Nguyen +3 more
core +1 more source
Stability of closed-loop fractional-order systems and definition of damping contours for the design of controllers [PDF]
, 2012 Fractional complex order integrator has been used since 1991 for the design of robust control-systems. In the CRONE control methodology, it permits the parameterization of open loop transfer function which is optimized in a robustness context.
Oustaloup, Alain +2 more
core +1 more source
Controllability of Fractional Neutral Stochastic Integro-Differential Systems with Infinite Delay [PDF]
Mathematical Problems in Engineering, 2013 This paper is concerned with the controllability of a class of fractional neutral stochastic integro-differential systems with infinite delay in an abstract space. By employing fractional calculus and Sadovskii's fixed point principle without assuming severe compactness condition on the semigroup, a set of sufficient conditions are derived for ...
Sun, Xichao, Yan, Litan, Cui, Jing
openaire +2 more sources