On the iterative learning control of fractional impulsive evolution equations in Banach spaces. (English) Zbl 1376.93048
Summary: In this paper, we study \(P\)-type, \(PI^\alpha\)-type, and \(D\)-type iterative learning control for fractional impulsive evolution equations in Banach spaces. We present triple convergence results for open-loop iterative learning schemes in the sense of \(\lambda\)-norm through rigorous analysis. The proposed iterative learning control schemes are effective to fractional hybrid infinite-dimensional distributed parameter systems. Finally, an example is given to illustrate our theoretical results.
MSC:
| 93C25 | Control/observation systems in abstract spaces |
| 68T05 | Learning and adaptive systems in artificial intelligence |
| 34A08 | Fractional ordinary differential equations |
| 34G20 | Nonlinear differential equations in abstract spaces |
| 92C40 | Biochemistry, molecular biology |
Keywords:
iterative learning control; fractional impulsive evolution equations; \(\lambda\)-norm; Banach spacesReferences:
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