Title :
Upper Bounds for Induced Operator Norms of Nonlinear Systems
Author :
Zahedzadeh, Vahid ; Marquez, Horacio Jose ; Chen, Tongwen
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Alberta, Edmonton, AB
fDate :
5/1/2009 12:00:00 AM
Abstract :
In this technical note, new methods are proposed to compute upper bounds on the L 1 , L 2 and L infin induced operator norms of continuous-time nonlinear systems. These methods are based on the so-called zetaA representation of nonlinear systems, which was introduced earlier by the authors. Examples are provided in order to show the applicability of our approach. Moreover, a weighting technique is suggested to improve the upper bounds.
Keywords :
continuous time systems; nonlinear control systems; computational techniques; continuous-time nonlinear systems; induced operator norms; Attenuation measurement; Control systems; Councils; Linear systems; Lyapunov method; Nonlinear systems; Optimization methods; Reactive power; Stability; System testing; Upper bound; Continuous-time systems; induced operator norms; nonlinear systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2009.2017813
