Observer Design for Semilinear Descriptor Systems with Applications to Chaos-Based Secure Communication

Reduced-order observers are designed for a class of Lipschitz semilinear descriptor systems. Sufficient conditions for the existence of an observer are characterized in terms of the rank of system operators and solvability of one linear matrix inequality. In application part, the paper considers the...

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Bibliographic Details
Published in:International journal of applied and computational mathematics 2017-12, Vol.3 (Suppl 1), p.1313-1324
Main Authors: Gupta, Mahendra Kumar, Tomar, Nutan Kumar, Mishra, Vikas Kumar, Bhaumik, Shovan
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied mathematics
Chaos theory
Computational mathematics
Computational Science and Engineering
Mathematical analysis
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Matrix methods
Model reduction
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Theoretical
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Summary:Reduced-order observers are designed for a class of Lipschitz semilinear descriptor systems. Sufficient conditions for the existence of an observer are characterized in terms of the rank of system operators and solvability of one linear matrix inequality. In application part, the paper considers the issues of secure communication via chaotic systems subject to unknown parameters. Simulations are done on a Lorenz chaotic system to verify the effectiveness of the main result.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-017-0419-0