Optimal control of nonlinear systems

• Grant number: 09/18643-0
• Support Opportunities: Regular Research Grants
• Start date: May 01, 2010
• End date: April 30, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Geraldo Nunes Silva
• Grantee: Geraldo Nunes Silva
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil

Abstract

In this project we propose to study three classes of control problems, which are optimal multprocesses , impulsive control and applications of the control theory to precision agriculture. More precisely, we intend to obtain necessary optimality conditions for 1) multiprocesses with mixed constraints and 2) impulsive control problems. We also want to study and propose a novel dynamical model for studying the weed-crop interaction to optimize the herbicide application not only in one, but also along N seasons. (AU)

Scientific publications

(5)

(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)

ROMAN-FLORES, H.; CHALCO-CANO, Y.; SILVA, G. N.; KUPKA, JIRI. On turbulent, erratic and other dynamical properties of Zadeh's extensions. CHAOS SOLITONS & FRACTALS, v. 44, n. 11, p. 990-994, NOV 2011. (09/18643-0)

DE OLIVEIRA, VALERIANO ANTUNES; SILVA, GERALDO NUNES. New optimality conditions for nonsmooth control problems. Journal of Global Optimization, v. 57, n. 4, p. 1465-1484, DEC 2013. (09/18643-0, 11/01977-2)

SANTOS, IGUER L. D.; SILVA, GERALDO N.. Absolute continuity and existence of solutions to dynamic inclusions in time scales. MATHEMATISCHE ANNALEN, v. 356, n. 1, p. 373-399, MAY 2013. (09/18643-0)

FARIA, FLAVIO A.; SILVA, GERALDO N.; OLIVEIRA, VILMA A.. Reducing the conservatism of LMI-based stabilisation conditions for TS fuzzy systems using fuzzy Lyapunov functions. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, v. 44, n. 10, p. 1956-1969, OCT 1 2013. (09/18643-0, 09/16796-3)

DE OLIVEIRA, VALERIANO A.; SILVA, GERALDO N.; PEREIRA, FERNANDO LOBO; IEEE. A New Sufficient Condition for Optimal Impulsive Control Problems. 2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), v. N/A, p. 6-pg., 2012-01-01. (11/01977-2, 09/18643-0)