Jorge Gonçalves' research

Quick links:

publications
software (Global analysis of relay, on/off, and saturation feedback systems)

My research interests are in the fields of

Complex systems. Modeling, analysis, and control of complex systems like biological metabolic
networks, economic market, communication networks, statistical mechanics. Proof methods.

Hybrid systems.

Robustness analysis of nonlinear systems. Applications to robotic manipulators and walking robots

Next is a list of my publications together with some matlab software written by me.
You can also find slides of some presentations.

My curriculum vitae: PS , PDF

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 Nonlinearity. IEEE
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
Systems. IEEE 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

Thesis

Constructive Global Analysis of Hybrid Systems,
Ph.D. Thesis, Massachusetts Institute of Technology, September 2000.
Abstract -- Entire Thesis: PS (1.7Mb) , PDF (925Kb)

Robust Stability of a Class of Nonlinear Systems,
MS Thesis, Massachusetts Institute of Technology, June 1995.
Abstract -- Entire Thesis: PS (521Kb) , PDF (530Kb)

Conference Publications

Demetri Spanos and Jorge Goncalves, High-Order-Polynomial Surface Lyapunov Functions
for Global Stability Analysis of Limit Cycle Oscillations in Piecewise Linear Systems.
American Control Conference, Boston, MA, June 2004.

Jorge Goncalves, Regions of Stability for Limit Cycles of Piecewise Linear Systems.
IEEE Conference on Decision and Control, Maui, Hawaii, December 2003. PDF.

Jorge Goncalves, L2-Gain of Double Integrators with Saturation Nonlinearity. IFAC,
Barcelona, Spain, July 2002. PS , PDF.

Jorge Goncalves, Global Asymptotic Stability of Oscillations with Sliding Modes. IFAC,
Barcelona, Spain, July 2002. PS , PDF.

Jorge Goncalves, Quadratic Surface Lyapunov Functions in the Analysis of Feedback
Systems with Double Integrators and Saturations. Mediterranean Control Conference,
Lisbon, Portugal, July 2002. PS , PDF.

Jorge Goncalves, Alexandre Megretski, and Munther Dahleh, Global Analysis
of Piecewise Linear Systems Using Impact Maps and Quadratic Surface
Lyapunov Functions. European Control Conference, Porto, Portugal,
September 2001. PS , PDF.

Jorge Goncalves, Quadratic Surface Lyapunov Functions in Global Stability
Analysis of Saturation Systems. American Control Conference, Arlington,
VA, June 2001. PS , PDF.

Jorge Goncalves, Global Stability Analysis of On/Off Systems. IEEE Conference
on Decision and Control, Sydney, Australia, December 2000. PS , PDF

Jorge Goncalves, Alexandre Megretski, and Munther Dahleh, Global Stability of
Relay Feedback Systems. American Control Conference, Chicago, IL, June 2000.
This paper received the "Best Student Paper Award ". PS , PDF. Slides: PDF

Jorge Goncalves, Alexandre Megretski, and Munther Dahleh, Semi-global
Analysis of Relay Feedback Systems. IEEE Conference on Decision and Control,
Tampa, FL December 1998. PS , PDF

Jorge Goncalves and Munther Dahleh, Necessary and Sufficient Conditions for
Robust Stability of a Class of Nonlinear Systems. IEEE Conference on Decision
and Control, New Orleans, December 1995. PS

Other Publications

Jorge Goncalves, L2-Gain of Double Integrators with Saturation Nonlinearity.
Technical report CIT-CDS 01-011, Caltech, 2001. PS , PDF

Jorge Goncalves, Quadratic Surface Lyapunov Functions in Global Stability
Analysis of Saturation Systems. Technical report LIDS-P-2477, MIT, August
2000. PS , PDF

Jorge Goncalves, Alexandre Megretski, and Munther Dahleh, Global Stability
Analysis of Relay Feedback Systems. Technical report LIDS-P-2458, MIT,
August 1999. PS , PDF.

Workshops and Presentations

Conservation of Robustness and Application to Biological Systems. 4th Southern California
Non-Linear Control Workshop, UCSB, June 2002.

Challenges in Congestion Control in the Internet. LIDS, MIT, May 2000. Slides : PDF

Global quadratic stability of limit cycles is common in relay feedback systems.
Workshop on the Dynamics of Switching, Liège, Belgium, August 1999. Slides: PS , PDF

Software

To run the following Matlab software you need the LMI tool box and the IQC tool box.
The later can be obtained at either Prof. Megretski or Isaac .

L2-Gain of Double Integrators with Saturation Nonlinearity

For Matlab version 5.3 or higher: L2GAIN_1.0.

Global asymptotic stability analysis of equilibrium points of Saturation systems

For Matlab version 5.3 or higher: SAT_1.1.

Global asymptotic stability analysis of On/Off systems

For Matlab version 5.3 or higher: OFS_0.1

Global asymptotic stability analysis of Relay Feedback systems

If you have Matlab version 5.2 or lower: RFS_1.1.

If you have Matlab version 5.3 or higher: RFS_1.1.

Note that the IQC toolbox includes both files RFS_52.tar.gz and RFS_53.tar.gz (under applications).

Jorge's Home Page

jmg (plus @cds.caltech.edu) Last modified: October, 2003