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Dr. Jorge Goncalves - Control theory

Dr. Jorge Goncalves

Department of Engineering

Control theory: Application of control theory to design of biological systems.

My research interests are in

Systems Biology: modelling, analysis, and control of biological systems like circadian rhythms and gene regulatory networks.
Hybrid Systems: analysis and control of hybrid and nonlinear systems using piecewise linear systems.
Complex Systems: feedback limitations in complex networks.



Journal Publications

Tau-Mu Yi, B. Ingalls, Jorge Goncalves, H. M. Sauro, and John Doyle. A Conservation of
Fragility Law and Consequences for Biological Systems
. In preparation.
----- Jorge Goncalves, Alexandre Megretski, and Munther Dahleh. Global Analysis of Piecewise
Linear Systems Using Impact Maps and Quadratic Surface Lyapunov Functions
. IEEE
Transactions on Automatic Control, 48(12): 2089-2106, December 2003. PS PDF 
For Matlab code to support this paper see software.
----- Jorge Goncalves. L2 Gain of Double Integrators with Saturation NonlinearityIEEE
Transactions on Automatic Control, 47(12): 2063-2068, December 2002. PS PDF 
For Matlab code to support this paper see software.
----- Jorge Goncalves, Alexandre Megretski, and Munther Dahleh. Global Stability of Relay Feedback 
SystemsIEEE Transactions on Automatic Control, 46(4): 550-562, April 2001.  PS PDF. 
For Matlab code to support this paper see software.
----- Jorge Goncalves and Munther Dahleh. Necessary conditions for robust stability of 
a class of nonlinear systems. Automatica, 34, June 1998. PS , PDF