Observer-based control for time-varying delay neural networks with nonlinear observation

Phat, V.N., Fernando, T. and Trinh, H. 2014, Observer-based control for time-varying delay neural networks with nonlinear observation, Neural computing and applications, vol. 24, no. 7-8, pp. 1639-1645, doi: 10.1007/s00521-013-1388-9.

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Title Observer-based control for time-varying delay neural networks with nonlinear observation
Author(s) Phat, V.N.
Fernando, T.
Trinh, H.ORCID iD for Trinh, H.
Journal name Neural computing and applications
Volume number 24
Issue number 7-8
Start page 1639
End page 1645
Total pages 7
Publisher Springer
Place of publication Berlin, Germany
Publication date 2014
ISSN 0941-0643
Keyword(s) interval time-varying delay
linear matrix inequalities
Lyapunov-Krasovskii functionals
neural networks
nonlinear observation
observer-based control
Summary This paper studies the problem of designing observer-based controllers for a class of delayed neural networks with nonlinear observation. The system under consideration is subject to nonlinear observation and an interval time-varying delay. The nonlinear observation output is any nonlinear Lipschitzian function and the time-varying delay is not required to be differentiable nor its lower bound be zero. By constructing a set of appropriate Lyapunov-Krasovskii functionals and utilizing the Newton-Leibniz formula, some delay-dependent stabilizability conditions which are expressed in terms of Linear Matrix Inequalities (LMIs) are derived. The derived conditions allow simultaneous computation of two bounds that characterize the exponential stability rate of the closed-loop system. The unknown observer gain and the state feedback observer-based controller are directly obtained upon the feasibility of the derived LMIs stabilizability conditions. A simulation example is presented to verify the effectiveness of the proposed result.
Language eng
DOI 10.1007/s00521-013-1388-9
Field of Research 090602 Control Systems, Robotics and Automation
010203 Calculus of Variations, Systems Theory and Control Theory
010204 Dynamical Systems in Applications
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category C1 Refereed article in a scholarly journal
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