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

Mahendra Kumar Gupta; Nutan Kumar Tomar; Vikas Kumar Mishra; Shovan Bhaumik

doi:10.1007/s40819-017-0419-0

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

Mahendra Kumar Gupta, Nutan Kumar Tomar, Vikas Kumar Mishra, Shovan Bhaumik

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

23 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1313-1324
Number of pages	12
Journal	International Journal of Applied and Computational Mathematics
Volume	3
DOIs	https://doi.org/10.1007/s40819-017-0419-0
State	Published - 1 Dec 2017
Externally published	Yes

Keywords

Descriptor systems (differential algebraic equations)
Linear matrix inequality
Observer design
Synchronization of chaotic systems

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/s40819-017-0419-0

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title = "Observer Design for Semilinear Descriptor Systems with Applications to Chaos-Based Secure Communication",

abstract = "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.",

keywords = "Descriptor systems (differential algebraic equations), Linear matrix inequality, Observer design, Synchronization of chaotic systems",

author = "Gupta, {Mahendra Kumar} and Tomar, {Nutan Kumar} and Mishra, {Vikas Kumar} and Shovan Bhaumik",

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AU - Gupta, Mahendra Kumar

AU - Tomar, Nutan Kumar

AU - Mishra, Vikas Kumar

AU - Bhaumik, Shovan

PY - 2017/12/1

Y1 - 2017/12/1

N2 - 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.

AB - 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.

KW - Descriptor systems (differential algebraic equations)

KW - Linear matrix inequality

KW - Observer design

KW - Synchronization of chaotic systems

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JO - International Journal of Applied and Computational Mathematics

JF - International Journal of Applied and Computational Mathematics

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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