Study of the stability region of discrete dynamical systems

• Grant number: 14/14141-8
• Support Opportunities: Scholarships in Brazil - Master
• Start date: October 01, 2014
• End date: September 30, 2016
• Field of knowledge: Engineering - Electrical Engineering - Industrial Electronics, Electronic Systems and Controls
• Agreement: 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)

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, SEP 2021. (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.