A new time domain functional observer design for bilinear system with constant time delay and unknown input

Author(s):  
ZARROUGUI Wejdene ◽  
HAMZAOUI Fatma ◽  
KHADHRAOUI Malek ◽  
MESSAOUD Hassani
2019 ◽  
Vol 41 (15) ◽  
pp. 4311-4321 ◽  
Author(s):  
Mai Viet Thuan ◽  
Dinh Cong Huong ◽  
Nguyen Huu Sau ◽  
Quan Thai Ha

This paper addresses the problem of unknown input fractional-order functional state observer design for a class of fractional-order time-delay nonlinear systems. The nonlinearities consist of two parts where one part is assumed to satisfy both the one-sided Lipschitz condition and the quadratically inner-bounded condition and the other is not necessary to be Lipschitz and can be regarded as an unknown input, making the wider class of considered nonlinear systems. By taking the advantages of recent results on Caputo fractional derivative of a quadratic function, we derive new sufficient conditions with the form of linear matrix inequalities (LMIs) to guarantee the asymptotic stability of the systems. Four examples are also provided to show the effectiveness and applicability of the proposed method.


1990 ◽  
Vol 11 (1) ◽  
pp. 54-59 ◽  
Author(s):  
Catherine Alig Cybriwsky ◽  
John W. Schuster

1990 ◽  
Vol 1 (2) ◽  
pp. 81-96 ◽  
Author(s):  
David L. Gast ◽  
Mark Wolery ◽  
Lowry L. Morris ◽  
Patricia Munson Doyle ◽  
Stacie Meyer

2017 ◽  
Vol 111 (1) ◽  
pp. 33-48
Author(s):  
Sarah E. Ivy ◽  
Jennifer A. Guerra ◽  
Deborah D. Hatton

Introduction Constant time delay is an evidence-based practice to teach sight word recognition to students with a variety of disabilities. To date, two studies have documented its effectiveness for teaching braille. Methods Using a multiple-baseline design, we evaluated the effectiveness of constant time delay to teach highly motivating words to three beginning braille readers with developmental disabilities. Procedural variations included a pre-teaching and assessment tool, a higher criterion for mastery, an increased number of trials per session, and remediated instructional feedback. Results A functional relation was established for all three participants. Students reached mastery in four to 12 sessions in less than one hour of instruction. Although the number of correct responses decreased over time, long-term maintenance was demonstrated. Discussion Results suggest that constant time delay is a promising strategy for teaching highly motivating words to early braille readers. Replication is required to establish constant time delay as an evidence-based practice for braille literacy. Implications for practitioners Practitioners are encouraged to incorporate constant time delay into a comprehensive literacy program with opportunities to generalize word reading to other contexts.


2002 ◽  
Vol 14 (8) ◽  
pp. 1127-1129 ◽  
Author(s):  
Xuewen Shu ◽  
Donghui Zhao ◽  
Lin Zhang ◽  
K. Sugden ◽  
I. Bennion

1992 ◽  
Vol 58 (4) ◽  
pp. 357-368 ◽  
Author(s):  
Marie C. Keel ◽  
David L. Gast

This study evaluated the effectiveness and efficiency of constant time delay (a near errorless learning procedure) in a small-group instructional arrangement. Three fifth-grade students with learning disabilities were taught to recognize multisyllabic basal vocabulary words. A multiple-probe design across behaviors (word sets) was used to evaluate the procedure. Following instruction on each word set, students were assessed on their ability to recognize their own target words, recognize observational words, spell both target and observational words, and define both target and observational words. The results indicated that the constant time-delay procedure was reliably implemented and was effective in establishing criterion-level performance for all students with extremely low error percentages.


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