Title :
Criteria for the stability of p-linear maps and p-powers
Author :
Sandberg, Irwin W.
Author_Institution :
Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX, USA
Abstract :
Iterated integral p-linear maps and p-powers arise in the theory of representations of nonlinear systems. In studies by the author (1989) necessary and sufficient conditions were given for such operators to be stable in a standard sense, and it was shown that a well-known sufficient condition is not necessary for all p⩾2, and corresponding results for discrete-time cases were given. These results are reviewed in the paper
Keywords :
stability criteria; discrete-time; nonlinear systems; p-linear maps; p-powers; stability criteria; sufficient condition; theory of representations; Desktop publishing; Kernel; Nonlinear systems; Stability criteria; Sufficient conditions;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70280
