Approximate controllability and optimal controls of fractional dynamical systems of order (Formula presented.) in Banach spaces
Access Status
Authors
Date
2015Type
Metadata
Show full item recordCitation
Source Title
ISSN
Collection
Abstract
© 2015, Qin et al.; licensee Springer.This paper investigates the approximate controllability and optimal controls of fractional dynamical systems of order (Formula presented.) in Banach spaces. We research a class of fractional dynamical systems governed by fractional integrodifferential equations with nonlocal initial conditions. Using the Krasnosel’skii fixed point theorem and the Schauder fixed point theorem, the approximate controllability results are obtained under two cases of the nonlinear term. We also present the existence results of optimal pairs of the corresponding fractional control systems with a Bolza cost function. Finally, an application is given to illustrate the effectiveness of our main results.
Related items
Showing items related by title, author, creator and subject.
-
Allpike, Bradley (2008)Natural organic matter (NOM), ubiquitous in natural water sources, is generated by biogeochemical processes in both the water body and in the surrounding watershed, as well as from the contribution of organic compounds ...
-
Padula, Fabrizio; Visioli, A. (2015)This monograph presents design methodologies for (robust) fractional control systems. It shows the reader how to take advantage of the superior flexibility of fractional control systems compared with integer-order systems ...
-
Padula, Fabrizio ; Ntogramatzidis, Lorenzo ; Schmid, R.; Loxton, Ryan (2020)We develop a geometric approach for fractional linear time-invariant systems with Caputo-type derivatives. In particular, we generalize the fundamental notions of invariance and controlled invariance to the fractional ...