Key Contributions
 

The first LMI approach for solving systems of polynomial equations:

• G. Chesi, A. Garulli, A. Tesi, A. Vicino, "An LMI-based approach for characterizing the solution set of polynomial systems", IEEE Conference on Decision and Control, 1501-1506, Sydney, Australia, December 2000
   
• G. Chesi, A. Garulli, A. Tesi, A. Vicino, "Characterizing the solution set of polynomial systems in terms of homogeneous forms: an LMI approach", International Journal of Robust and Nonlinear Control, 13(13), 1239-1257, November 2003

 

The first sufficient and necessary LMI condition for robust stability of time-varying polytopic systems:

• G. Chesi, A. Garulli, A. Tesi, A. Vicino, "LMI-based construction of homogeneous Lyapunov functions for systems with structured uncertainties", IEEE Conference on Decision and Control, 281-286, Las Vegas, USA, December 2002
   
• G. Chesi, A. Garulli, A. Tesi, A. Vicino, "Homogeneous Lyapunov functions for systems with structured uncertainties", Automatica, 39(6), 1027-1035, June 2003
   
• G. Chesi, "LMI conditions for time-varying uncertain systems can be non-conservative", Automatica, 47(3), 621-624, March 2011

 

The first sufficient and necessary LMI condition for robust stability of time-invariant polytopic systems:

• G. Chesi, A. Garulli, A. Tesi, A. Vicino, "Robust stability for polytopic systems via polynomially parameter-dependent Lyapunov functions", IEEE Conference on Decision and Control, 4670-4675, Maui, USA, December 2003
   
• G. Chesi, A. Garulli, A. Tesi, A. Vicino, "Polynomially parameter-dependent Lyapunov functions for robust stability of polytopic systems: an LMI approach", IEEE Transactions on Automatic Control, 50(3), 365-370, March 2005
   
• G. Chesi, "On the non-conservatism of a novel LMI relaxation for robust analysis of polytopic systems", Automatica, 44(11), 2973-2976, November 2008

 

The first sufficient and necessary LMI condition for stability of switched systems with dwell time constraints:

• G. Chesi, P. Colaneri, J. C. Geromel, R. H. Middleton, R. Shorten, "Computing upper-bounds of the minimum dwell time of linear switched systems via homogeneous polynomial Lyapunov functions", American Control Conference, 2487-2492, Baltimore, USA, June 2010
   
• G. Chesi, P. Colaneri, J. C. Geromel, R. H. Middleton, R. Shorten, "A nonconservative LMI condition for stability of switched systems with guaranteed dwell time", IEEE Transactions on Automatic Control, 57(5), 1297-1302, May 2012

 

The first sufficient and necessary LMI condition for robust static output feedback controller synthesis of time-invariant uncertain systems:

• G. Chesi, "On the design of robust static output feedback controllers via robust stabilizability functions", IEEE Conference on Decision and Control, 3776-3781, Florence, Italy, December 2013
   
• G. Chesi, "Robust static output feedback controllers via robust stabilizability functions", IEEE Transactions on Automatic Control, 59(6), 1618-1623, June 2014

 

The first sufficient and necessary LMI condition for stability of 2D mixed continuous-discrete-time systems:

• G. Chesi, R. H. Middleton, "A necessary and sufficient LMI condition for stability of 2D mixed continuous-discrete-time systems", European Control Conference, 323-328, Zurich, Switzerland, July 2013
   
• G. Chesi, R. H. Middleton, "Necessary and sufficient LMI conditions for stability and performance analysis of 2D mixed continuous-discrete-time systems", IEEE Transactions on Automatic Control, 59(4), 996-1007, April 2014

 

The first sufficient and necessary LMI condition for computing the H-infinity and H-two norms of 2D mixed continuous-discrete-time systems:

• G. Chesi, R. H. Middleton, "On the H-infinity norm of 2D mixed continuous-discrete-time systems via rationally-dependent complex Lyapunov functions", IFAC World Congress on Automatic Control, 5568-5573, Cape Town, South Africa, August 2014
   
• G. Chesi, R. H. Middleton, "H-infinity and H-two norms of 2D mixed continuous-discrete-time systems via rationally-dependent complex Lyapunov functions", IEEE Transactions on Automatic Control, 60(10), 2614-2625, October 2015

 

The first sufficient and necessary LMI condition for robust feedback controller synthesis of time-varying polytopic systems:

• G. Chesi, "Convex synthesis of robust controllers for linear systems with polytopic time-varying uncertainty", IEEE Transactions on Automatic Control, 62(1), 337-349, January 2017