Controlling the Stochastic Sensitivity in Nonlinear Discrete-Time Systems with Incomplete Information
For stochastic nonlinear discrete-time system with incomplete information, a problem of the stabilization of equilibrium is considered. Our approach uses a regulator which synthesizes the required stochastic sensitivity. Mathematically, this problem is reduced to the solution of some quadratic matri...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/658048 |
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| _version_ | 1832560321317830656 |
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| author | Lev Ryashko Irina Bashkirtseva |
| author_facet | Lev Ryashko Irina Bashkirtseva |
| author_sort | Lev Ryashko |
| collection | DOAJ |
| description | For stochastic nonlinear discrete-time system with incomplete information, a problem of the stabilization of equilibrium is considered. Our approach uses a regulator which synthesizes the required stochastic sensitivity. Mathematically, this problem is reduced to the solution of some quadratic matrix equations. A description of attainability sets and algorithms for regulators design is given. The general results are applied to the suppression of unwanted large-amplitude oscillations around the equilibria of the stochastically forced Verhulst model with noisy observations. |
| format | Article |
| id | doaj-art-78ae90e19a034e9987327efc8c9189c3 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-78ae90e19a034e9987327efc8c9189c32025-02-03T01:27:49ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/658048658048Controlling the Stochastic Sensitivity in Nonlinear Discrete-Time Systems with Incomplete InformationLev Ryashko0Irina Bashkirtseva1Ural Federal University, Lenina, 51, Ekaterinburg 620000, RussiaUral Federal University, Lenina, 51, Ekaterinburg 620000, RussiaFor stochastic nonlinear discrete-time system with incomplete information, a problem of the stabilization of equilibrium is considered. Our approach uses a regulator which synthesizes the required stochastic sensitivity. Mathematically, this problem is reduced to the solution of some quadratic matrix equations. A description of attainability sets and algorithms for regulators design is given. The general results are applied to the suppression of unwanted large-amplitude oscillations around the equilibria of the stochastically forced Verhulst model with noisy observations.http://dx.doi.org/10.1155/2015/658048 |
| spellingShingle | Lev Ryashko Irina Bashkirtseva Controlling the Stochastic Sensitivity in Nonlinear Discrete-Time Systems with Incomplete Information Discrete Dynamics in Nature and Society |
| title | Controlling the Stochastic Sensitivity in Nonlinear Discrete-Time Systems with Incomplete Information |
| title_full | Controlling the Stochastic Sensitivity in Nonlinear Discrete-Time Systems with Incomplete Information |
| title_fullStr | Controlling the Stochastic Sensitivity in Nonlinear Discrete-Time Systems with Incomplete Information |
| title_full_unstemmed | Controlling the Stochastic Sensitivity in Nonlinear Discrete-Time Systems with Incomplete Information |
| title_short | Controlling the Stochastic Sensitivity in Nonlinear Discrete-Time Systems with Incomplete Information |
| title_sort | controlling the stochastic sensitivity in nonlinear discrete time systems with incomplete information |
| url | http://dx.doi.org/10.1155/2015/658048 |
| work_keys_str_mv | AT levryashko controllingthestochasticsensitivityinnonlineardiscretetimesystemswithincompleteinformation AT irinabashkirtseva controllingthestochasticsensitivityinnonlineardiscretetimesystemswithincompleteinformation |