Drazin inverse conditions for stability of positive singular systems

Xiuyong Ding; Guisheng Zhai

doi:10.1016/j.jfranklin.2020.04.035

Drazin inverse conditions for stability of positive singular systems

Xiuyong Ding, Guisheng Zhai

Research output: Contribution to journal › Article › peer-review

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Abstract

In this paper, positive singular systems in both continuous and discrete cases are addressed, and a complete characterization for stability is provided. First, it is shown that positive singular systems can be stable for a non-negative initial condition. The presented stability criteria are necessary and sufficient, and can be checked by means of linear matrix inequality (LMI) or linear programming (LP). Further, we generalize the Lyapunov stability theory for positive singular systems.

Original language	English
Pages (from-to)	9853-9870
Number of pages	18
Journal	Journal of the Franklin Institute
Volume	357
Issue number	14
DOIs	https://doi.org/10.1016/j.jfranklin.2020.04.035
Publication status	Published - 2020 Sept

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Computer Networks and Communications
Applied Mathematics

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10.1016/j.jfranklin.2020.04.035

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title = "Drazin inverse conditions for stability of positive singular systems",

abstract = "In this paper, positive singular systems in both continuous and discrete cases are addressed, and a complete characterization for stability is provided. First, it is shown that positive singular systems can be stable for a non-negative initial condition. The presented stability criteria are necessary and sufficient, and can be checked by means of linear matrix inequality (LMI) or linear programming (LP). Further, we generalize the Lyapunov stability theory for positive singular systems.",

author = "Xiuyong Ding and Guisheng Zhai",

year = "2020",

month = sep,

doi = "10.1016/j.jfranklin.2020.04.035",

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AU - Zhai, Guisheng

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N2 - In this paper, positive singular systems in both continuous and discrete cases are addressed, and a complete characterization for stability is provided. First, it is shown that positive singular systems can be stable for a non-negative initial condition. The presented stability criteria are necessary and sufficient, and can be checked by means of linear matrix inequality (LMI) or linear programming (LP). Further, we generalize the Lyapunov stability theory for positive singular systems.

AB - In this paper, positive singular systems in both continuous and discrete cases are addressed, and a complete characterization for stability is provided. First, it is shown that positive singular systems can be stable for a non-negative initial condition. The presented stability criteria are necessary and sufficient, and can be checked by means of linear matrix inequality (LMI) or linear programming (LP). Further, we generalize the Lyapunov stability theory for positive singular systems.

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VL - 357

SP - 9853

EP - 9870

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

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ER -

Drazin inverse conditions for stability of positive singular systems

Abstract

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