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
fDate :
6/1/1995 12:00:00 AM
Abstract :
In this paper we present 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 :
difference equations; optimal control; time-varying systems; uncertain systems; ℒ1 norm; convex analysis; l∞-induced norm; stabilization; time-varying difference equations; uncertain linear systems; uncertain system matrices; vertex-type results; Automatic control; Control system synthesis; Control systems; Convergence; Frequency; Linear systems; Robotics and automation; Service robots; Size control; Trajectory;
Journal_Title :
Automatic Control, IEEE Transactions on
