In:
Journal of Dynamic Systems, Measurement, and Control, ASME International, Vol. 141, No. 5 ( 2019-05-01)
Abstract:
Continuous-time fractional linear systems with delays, asymmetrical bounds on control and non-negative states are considered. Hence, the stabilization problem is studied and solved. A direct Lyapunov–Krasovskii function is used leading to conditions in terms of a linear program (LP). Simulation difficulties and numerical problems raised by the use of the Mittag-Leffler expression are overcome. In fact, the obtained solution uses the fractional integration of the system dynamic. Illustrative examples are presented to show the effectiveness of the results. First, a numerical one is given to demonstrate the applicability of the obtained conditions. Second, an application on a real world example is provided to highlight the usefulness of the approach.
Type of Medium:
Online Resource
ISSN:
0022-0434
,
1528-9028
Language:
English
Publisher:
ASME International
Publication Date:
2019
detail.hit.zdb_id:
240760-7
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