Convergence on iterative learning control of Hilfer fractional impulsive evolution equations. Issue 3 (10th July 2022)

• Record Type: Journal Article
• Authors: Raghavan, Divya; Nagarajan, Sukavanam
• Is Part Of: Asian journal of control. Volume 25:Issue 3(2023)
• Page Start: 2183
• Page End: 2193
• Publication Date: 2022-07-10
• Subjects: fractional derivative -- iterative learning control -- impulsive systems -- Mittag‐Leffler function; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.2883
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: In this paper, impulsive fractional differential equations with Hilfer fractional derivatives of order 0 < μ < 1 $$ 0<\mu <1 $$ and type 0 ≤ ν ≤ 1 $$ 0\le \nu \le 1 $$ is considered. Convergence analysis of P $$ P $$ ‐type and P I μ $$ P{I}&#x0005E;{\mu } $$ ‐type open‐loop iterative learning scheme is studied in the sense of λ $$ \lambda $$ ‐norm. Examples are provided to explain the theory developed.