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CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
14 years 1 months ago
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...
Amir Ali Ahmadi, Pablo A. Parrilo
ICRA
2006
IEEE
88views Robotics» more  ICRA 2006»
14 years 1 months ago
A Method of Cooperative Control using Occasional non-local Interactions
— Current approaches to distributed control involving many robots generally restrict interactions to pairs of robots within a threshold distance. While this allows for provable s...
Brian Shucker, Todd D. Murphey, John K. Bennett
HYBRID
2010
Springer
14 years 17 days ago
A generating function approach to the stability of discrete-time switched linear systems
Exponential stability of switched linear systems under both arbitrary and proper switching is studied through two suitably defined families of functions called the strong and the...
Jianghai Hu, Jinglai Shen, Wei Zhang
CDC
2009
IEEE
120views Control Systems» more  CDC 2009»
14 years 5 days ago
Unfalsified adaptive switching supervisory control of time varying systems
Giorgio Battistelli, João Pedro Hespanha, E...
CDC
2008
IEEE
187views Control Systems» more  CDC 2008»
14 years 1 months ago
Gain bounds for multiple model switched adaptive control of general MIMO LTI systems
— For the class of MIMO minimal LTI systems controlled by an estimation based multiple model switched adaptive controller (EMMSAC), bounds are obtained for the closed loop lp gai...
Dominic Pasqual Buchstaller, Mark French