(Graziano Chesi)
Selected Publications: Uncertain Systems
Selected Publications: Uncertain Systems
G. Chesi, A. Garulli, A. Tesi, A. Vicino, "A convex approach to the characterization of the frequency response of ellipsoidal plants", Automatica, 38(2), 249-259, February 2002
G. Chesi, "Complete characterization of the spherical spectral set", IEEE Transactions on Automatic Control, 47(11), 1875-1879, December 2002G. Chesi, A. Garulli, A. Tesi, A. Vicino, "Homogeneous Lyapunov functions for systems with structured uncertainties", Automatica, 39(6), 1027-1035, June 2003G. Chesi, A. Garulli, A. Tesi, A. Vicino, "Robust analysis of LFR systems through homogeneous polynomial Lyapunov functions", IEEE Transactions on Automatic Control, 49(7), 1211-1216, July 2004G. 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 2005G. Chesi, "Establishing stability and instability of matrix hypercubes", Systems and Control Letters, 54(4), 381-388, April 2005G. Chesi, A. Garulli, A. Tesi, A. Vicino, "Robust stability of time-varying polytopic systems via parameter-dependent homogeneous Lyapunov functions", Automatica, 43(2), 309-316, February 2007G. Chesi, "Establishing tightness in robust H-infinity analysis via homogeneous parameter-dependent Lyapunov functions", Automatica, 43(11), 1992-1995, November 2007G. Chesi, "On the non-conservatism of a novel LMI relaxation for robust analysis of polytopic systems", Automatica, 44(11), 2973-2976, November 2008G. Chesi, "Time-invariant uncertain systems: a necessary and sufficient condition for stability and instability via HPD-QLFs", Automatica, 46(2), 471-474, February 2010G. Chesi, "Robust stability of time-varying uncertain systems with rational dependence on the uncertainty", IEEE Transactions on Automatic Control, 55(10), 2353-2357, October 2010G. Chesi, "LMI conditions for time-varying uncertain systems can be non-conservative", Automatica, 47(3), 621-624, March 2011G. Chesi, "Worst-case Mahler measure in polytopic uncertain systems", IEEE Transactions on Automatic Control, 57(12), 3208-3213, December 2012G. Chesi, "Exact robust stability analysis of uncertain systems with a scalar parameter via LMIs", Automatica, 49(4), 1083-1086, April 2013G. Chesi, "Sufficient and necessary LMI conditions for robust stability of rationally time-varying uncertain systems", IEEE Transactions on Automatic Control, 58(6), 1546-1551, June 2013G. Chesi, "Robust static output feedback controllers via robust stabilizability functions", IEEE Transactions on Automatic Control, 59(6), 1618-1623, June 2014G. Chesi, "Establishing robust stability of discrete-time systems with time-varying uncertainty: the Gram-SOS Approach", Automatica, 50(11), 2813-2821, November 2014G. Chesi, "Instability analysis of uncertain systems via determinants and LMIs", IEEE Transactions on Automatic Control, 60(9), 2548-2563, September 2015G. Chesi, "Convex synthesis of robust controllers for linear systems with polytopic time-varying uncertainty", IEEE Transactions on Automatic Control, 62(1), 337-349, January 2017G. Chesi, "Parameter and controller dependent Lyapunov functions for robust D-stability and robust performance controller design", IEEE Transactions on Automatic Control, 62(9), 4798-4803, September 2017G. Chesi, "Stability test for complex matrices over the complex unit circumference via LMIs and applications in 2D systems", IEEE Transactions on Circuits and Systems I: Regular Papers, 66(5), 1960-1969, May 2019G. Chesi, T. Shen, "Designing parametric linear quadratic regulators for parametric LTI systems via LMIs", International Journal of Control, 92(12), 2907-2916, December 2019F. Blanchini, G. Chesi, P. Colaneri, G. Giordano, "Checking structural stability of BDC-decomposable systems via convex optimisation", IEEE Control Systems Letters, 4(1), 205-210, January 2020