New results for analysis of systems with repeated nonlinearities
| Autor: | Alexandre Megretski, Fernando Javier D'Amato, Ulf Jönsson, Mario A. Rotea |
|---|---|
| Rok vydání: | 2001 |
| Předmět: |
Computation
Diagonal MathematicsofComputing_NUMERICALANALYSIS Monotonic function Stability (probability) Nonlinear system Matrix (mathematics) Quadratic equation Control and Systems Engineering Control theory Applied mathematics Electrical and Electronic Engineering Constant (mathematics) Mathematics |
| Zdroj: | Automatica. 37:739-747 |
| ISSN: | 0005-1098 |
| DOI: | 10.1016/s0005-1098(01)00009-7 |
| Popis: | This work presents new results for analysis of systems with repeated monotonic or slope restricted nonlinearities. We first give new integral quadratic constraints (IQCs) that are satisfied by the inputs and outputs of diagonal operators with equal, monotonic or slope restricted, diagonal entries. Then, we present new analysis results for systems with repeated nonlinearities, obtained using the new IQCs. For the type of nonlinearities considered in this work, the new results are less conservative than previously known results. The computation of the new conditions is discussed. The results in this paper apply also to problems with nonrepeated nonlinearities whenever these are representable as the interconnection of multiple repeated nonlinearities and a constant matrix. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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