Title :
Upper Bounds for Induced Operator Norms of Nonlinear Systems
Author :
Zahedzadeh, Vahid ; Marquez, Horacio J. ; Chen, Tongwen
Abstract :
In this paper, new methods are introduced to compute the L 1, L 2, and L infin (lscr 1, lscr 2 and lscr infin) induced operator norms of continuous (discrete) nonlinear systems. These methods are based on the so-called sigmavA representation of nonlinear systems, which is introduced earlier by the authors. The methods are applicable if a certain condition is satisfied by the parameter of the sigmavA representation. Two examples are provided to show the applicability of the methods. In addition, another method is suggested to derive an upper bound on the L infin (lscr infin) norm of the system output. This method does not suffer from the limitations of the pervious ones.
Keywords :
continuous time systems; discrete time systems; nonlinear control systems; continuous nonlinear systems; discrete nonlinear systems; induced operator norms; nonlinear systems; Attenuation measurement; Cities and towns; Control systems; Electronic switching systems; Linear systems; Nonlinear control systems; Nonlinear systems; Optimization methods; Upper bound; Nonlinear systems; continuous-time systems; discrete-time systems; induced operator norms;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282309