Delay-dependent energy-to-peak stability of 2-D time-delay roesser systems with multiplicative stochastic noises

Van Hien, Le, Trinh, Hieu and Nguyen, Thi Lan-Huong 2019, Delay-dependent energy-to-peak stability of 2-D time-delay roesser systems with multiplicative stochastic noises, IEEE transactions on automatic control, vol. 64, no. 12, pp. 1-8, doi: 10.1109/tac.2019.2907888.

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Title Delay-dependent energy-to-peak stability of 2-D time-delay roesser systems with multiplicative stochastic noises
Author(s) Van Hien, Le
Trinh, HieuORCID iD for Trinh, Hieu orcid.org/0000-0003-3438-9969
Nguyen, Thi Lan-Huong
Journal name IEEE transactions on automatic control
Volume number 64
Issue number 12
Start page 1
End page 8
Total pages 8
Publisher IEEE
Place of publication Piscataway, N.J.
Publication date 2019-12
ISSN 0018-9286
2334-3303
Keyword(s) Two-dimensional systems
Roesser model
multiplicative noises
energy-to-peak stochastic stability
Summary This paper is concerned with the problem of energy-to-peak stochastic stability (EPSS) of two-dimensional (2-D) Roesser systems in the presence of state time-varying delays and multiplicative noises. First, a scheme that ensures a 2-D stochastic time-delay system is stochastically stable with an attenuation performance is proposed. The scheme presented in this paper can be regarded as an extension of the Lyapunov-Krasovskii functional (LKF) method for 2-D stochastic time-delay systems, focusing on the EPSS problem. The proposed scheme is then utilized to derive delay-dependent EPSS conditions in terms of tractable linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the derived stability conditions.
Language eng
DOI 10.1109/tac.2019.2907888
Indigenous content off
Field of Research 010203 Calculus of Variations, Systems Theory and Control Theory
010204 Dynamical Systems in Applications
090602 Control Systems, Robotics and Automation
0906 Electrical and Electronic Engineering
0102 Applied Mathematics
0913 Mechanical Engineering
Socio Economic Objective 970101 Expanding Knowledge in the Mathematical Sciences
HERDC Research category C1 Refereed article in a scholarly journal
Copyright notice ©2018, IEEE
Persistent URL http://hdl.handle.net/10536/DRO/DU:30121372

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