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Approximate controllability of impulsive non-local non-linear fractional dynamical systems and optimal control
- Source :
- Repositório Científico de Acesso Aberto de Portugal, Repositório Científico de Acesso Aberto de Portugal (RCAAP), instacron:RCAAP
- Publication Year :
- 2018
- Publisher :
- Mathematical Notes, 2018.
-
Abstract
- We establish existence, approximate controllability and optimal control of a class of impulsive non-local non-linear fractional dynamical systems in Banach spaces. We use fractional calculus, sectorial operators and Krasnoselskii fixed point theorems for the main results. Approximate controllability results are discussed with respect to the inhomogeneous non-linear part. Moreover, we prove existence results of optimal pairs of corresponding fractional control systems with a Bolza cost functional.<br />Comment: This is a preprint of a paper whose final and definite form is with 'Miskolc Math. Notes', ISSN 1787-2405 (printed version), ISSN 1787-2413 (electronic version), available at [http://mat76.mat.uni-miskolc.hu/~mnotes]
- Subjects :
- Class (set theory)
Control and Optimization
Dynamical systems theory
Banach space
Fixed-point theorem
010103 numerical & computational mathematics
Q-resolvent families
01 natural sciences
010305 fluids & plasmas
Nonlocal and impulsive conditions
0103 physical sciences
Classical Analysis and ODEs (math.CA)
FOS: Mathematics
Discrete Mathematics and Combinatorics
Applied mathematics
Fractional nonlinear equations
0101 mathematics
Mathematics - Optimization and Control
Mathematics
Numerical Analysis
Algebra and Number Theory
Approximate controllability
26A33, 45J05, 49J15, 93B05
Optimal control
Fractional calculus
Controllability
Nonlinear system
Mathematics - Classical Analysis and ODEs
Optimization and Control (math.OC)
Analysis
Subjects
Details
- ISSN :
- 17872413 and 17872405
- Volume :
- 19
- Database :
- OpenAIRE
- Journal :
- Miskolc Mathematical Notes
- Accession number :
- edsair.doi.dedup.....df59b0f939140e6dccb708ca4b209a64