Analysis of a class of fractional nonlinear multidelay differential systems. (English) Zbl 1400.34128
Summary: We address existence and Ulam-Hyers and Ulam-Hyers-Mittag-Leffler stability of fractional nonlinear multiple time-delays systems with respect to two parameters’ weighted norm, which provides a foundation to study iterative learning control problem for this system. Secondly, we design PID-type learning laws to generate sequences of output trajectories to tracking the desired trajectory. Two numerical examples are used to illustrate the theoretical results.
MSC:
| 34K37 | Functional-differential equations with fractional derivatives |
| 93C23 | Control/observation systems governed by functional-differential equations |
| 34K27 | Perturbations of functional-differential equations |
| 34K35 | Control problems for functional-differential equations |
| 68T05 | Learning and adaptive systems in artificial intelligence |
Keywords:
Ulam-Hyers; Ulam-Hyers-Mittag-Leffler stability; iterative learning control problem; trackingReferences:
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