Rozgonyi, Szabolcs and Hangos, Katalin and Szederkényi, Gábor (2010) Determining the domain of attraction of hybrid non-linear systems using maximal Lyapunov functions. KYBERNETIKA, 46 (1). pp. 19-37. ISSN 0023-5954
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Abstract
In this article a method is presented to find systematically the domain of attraction (DOA) of hybrid non-linear systems. It has already been shown that there exists a sequence of special kind of Lyapunov functions Vn in a rational functional form approximating a maximal Lyapunov function VM that can be used to find an estimation for the DOA. Based on this idea, an improved method has been developed and implemented in a Mathematica- package to find such Lyapunov functions Vn for a class of hybrid (piecewise non-linear) systems, where the dynamics is continuous on the boundary of the different regimes in the state space. In addition, a computationally feasible method is proposed to estimate the DOA using a maximal fitting hypersphere.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 08 Nov 2013 08:01 |
| Last Modified: | 08 Nov 2013 08:01 |
| URI: | http://real.mtak.hu/id/eprint/7191 |
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