Title :
Characterization of the Lp incremental gain for nonlinear systems
Author :
Romanchuk, B.G. ; James, M.R.
Author_Institution :
Dept. of Electr. Eng., McGill Univ., Montreal, Que., Canada
Abstract :
The incremental gain of a system operator is a Lipschitz constant for that operator with respect to an Lp space. In this paper we characterise the incremental gain in terms of a partial differential inequality similar to those arising in the Hill-Moylan-Willems theory of dissipative systems. Computational methods for estimating the incremental gain are discussed, including finite difference schemes and matrix inequalities. An example is presented
Keywords :
control system analysis; function approximation; matrix algebra; nonlinear systems; partial differential equations; Lp incremental gain; Lipschitz constant; finite difference; matrix inequality; nonlinear systems; partial differential inequality; stability; viscosity solution; Adaptive systems; Australia; Finite difference methods; Information technology; Linear matrix inequalities; Linear systems; Nonlinear systems; Robustness; Stability; Transfer functions;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.573646
