Asymptotic Stability Analysis and Optimality Algorithm for Uncertain Neutral Systems with Saturation | Zendy

Xinghua Liu | Zendy

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Asymptotic Stability Analysis and Optimality Algorithm for Uncertain Neutral Systems with Saturation

Author(s) -

Xinghua Liu

Publication year - 2014

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.1155/2014/805798

Subject(s) - stability (learning theory) , control theory (sociology) , caustic (mathematics) , saturation (graph theory) , mathematics , decomposition , mathematical optimization , computer science , algorithm , chemistry , mathematical analysis , control (management) , organic chemistry , artificial intelligence , machine learning , combinatorics

The certain and uncertain neutral systems with time-delay and saturating actuator are considered in this paper. In order to analyse and optimize the system, auxiliary functions are presented based on additive decomposition approach and the relationship among them is discussed. As the novel stability criterion, two sufficient conditions are obtained for asymptotic stability of the neutral systems. Furthermore, the paper gives the stability analysis algorithm and optimality algorithm to optimize the result. Finally, from the two-stage dissolution tank of solid caustic soda in a chemical plant, three numerical examples are implemented to show the effectiveness of the proposed method.

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