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Natalya Sedova

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Natalya Sedova

WSEAS Transactions on Systems

Print ISSN: 1109-2777
E-ISSN: 2224-2678

Volume 17, 2018

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

Volume 17, 2018

LMI-based Method to Estimate the Domain of Attraction for Nonlinear Cascaded Systems with Delay

AUTHORS: Natalya Sedova

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ABSTRACT: This paper deals with stability analysis for nonlinear systems with time delay. The proposed approach is based on the assumption that on a subset of the state space the system is represented by a continuous-time Takagi– Sugeno system with delay and cascaded structure. The first aim is to present linear matrix inequality conditions to assess non-local stability properties of the system. The second relevant contribution is to present linear matrix inequalities that allow to find an inner estimate of the domain of attraction for the system subject to constraints defining the subset under consideration. The proposed approach is based on common quadratic Lyapunov functions and the Razumikhin technique.

KEYWORDS: nonlinear delay system, Takagi–Sugeno system, system with constraints, LMI, domain of attraction


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WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 17, 2018, Art. #13, pp. 119-122

Copyright © 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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