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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Pakshin, P. Emelianova, J. Emelianov, M. Galkowski, K. Rogers, E. |
| Copyright Year | 2015 |
| Description | Author affiliation: Dept. of Electron. & Comput. Sci., Univ. of Southampton, Southampton, UK (Rogers, E.) || Arzamas Polytech. Inst., R.E. Alekseev Nizhny Novgorod STU, Arzamas, Russia (Pakshin, P.; Emelianova, J.; Emelianov, M.) || Inst. of Control & Comput. Eng., Univ. of Zielona Gora, Gora, Poland (Galkowski, K.) |
| Abstract | The paper uses the state-space model setting to consider the stabilization of stochastic nonlinear 2D Fornasini-Marchesini systems, where the properties of stability in the second moment and exponential stability in the mean square (ESMS) are defined and sufficient conditions for their existence established. In the case of ESMS a converse theorem is also established. The property of stochastic dissipativity in the second moment is introduced and a particular case of this property, termed passivity in the mean square, is used, together with a vector storage function, to develop a new method for control law design. Two practically motivated examples are given to demonstrate the application of the new results. |
| Starting Page | 1 |
| Ending Page | 6 |
| File Size | 96368 |
| Page Count | 6 |
| File Format | |
| e-ISBN | 9781479987399 |
| DOI | 10.1109/NDS.2015.7332653 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2015-09-07 |
| Publisher Place | Portugal |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Vector storage function Stochastic processes Stochastic stabilization Stability analysis Stochastic stability State-space methods Fornasini-Marchesini model Stochastic passivity Vector Lyapunov function Stochastic dissipativity Control theory Circuit stability Lyapunov methods |
| Content Type | Text |
| Resource Type | Article |
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