Title :
On the L1 norm of uncertain linear systems
Author :
Fialho, Ian J. ; Georgiou, Tryphon T.
Author_Institution :
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
Abstract :
Presents an algorithm for computing the l∞-induced norm of linear systems described by time-varying difference equations with uncertain system matrices. The approach is based on ideas from convex analysis. The convergence of the algorithm is studied, and vertex-type results related to the stabilization and L1-control of uncertain discrete-time systems are established
Keywords :
controllability; convergence; difference equations; discrete time systems; linear systems; matrix algebra; uncertain systems; L1-control; convergence; convex analysis; discrete-time systems; l∞-induced norm; time-varying difference equations; uncertain linear systems; vertex-type results; Artificial intelligence; Asymptotic stability; Chromium; Controllability; Difference equations; Linear programming; Linear systems;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.529386
