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Study of the stability region of discrete dynamical systems

Grant number: 14/14141-8
Support Opportunities:Scholarships in Brazil - Master
Effective date (Start): October 01, 2014
Effective date (End): September 30, 2016
Field of knowledge:Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
Acordo de Cooperação: Coordination of Improvement of Higher Education Personnel (CAPES)
Principal Investigator:Luís Fernando Costa Alberto
Grantee:Elaine Santos Dias
Host Institution: Escola de Engenharia de São Carlos (EESC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This project's purpose is to develop the foundations of the theory of the stability region of nonlinear dynamical systems in discrete time. In particular, it aims to develop a complete characterization of stability region and its boundary, extending the existing results of continuous systems for a class of nonlinear dynamical systems in discrete time. It is expected that the results can promote the development of less conservative and robust methods for estimating the stability region of a broad class of nonlinear discrete-time dynamic systems. (AU)

News published in Agência FAPESP Newsletter about the scholarship:
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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
DIAS, ELAINE SANTOS; COSTA ALBERTO, LUIS FERNANDO; AMARAL, FABIOLO MORAES; CHIANG, HSIAO-DONG. Toward a Comprehensive Theory for Stability Regions of a Class of Nonlinear Discrete Dynamical Systems. IEEE Transactions on Automatic Control, v. 66, n. 9, p. 4371-4377, . (14/14141-8, 14/50851-0)
Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
DIAS, Elaine Santos. Characterization of the stability region of the nonlinear discrete dynamical systems. 2016. Master's Dissertation - Universidade de São Paulo (USP). Escola de Engenharia de São Carlos (EESC/SBD) São Carlos.

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