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http://hdl.handle.net/2074/1749
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| DC Field | Value | Language |
| contributor.author | Mahalanabis, A | - |
| contributor.author | Purkayastha, S | - |
| date.accessioned | 2006-06-27T06:08:23Z | - |
| date.available | 2006-06-27T06:08:23Z | - |
| date.issued | 1973 | - |
| identifier.citation | Automatic Control, IEEE Transactions on, 18(3), 266 - 270p. | en |
| identifier.uri | http://eprint.iitd.ac.in/dspace/handle/2074/1749 | - |
| description.abstract | The problem of finding frequency-domain conditions that are sufficient to ensure asymptotic stability with probability one (ASWP 1) of a Lure-type system with white-noise input disturbance is considered. It is shown that, if the noise is linearly related to the state of the system, a relatively simple frequency-domain inequality that guarantees ASWP 1 of the system exists. The stochastic version of the second method of Lyapunov, along with a Meyer-Kalman-Yakubovich(MKY)-type lemma, is used to derive such a condition, assuming first that only sector information of the nonlinearity is available. A modification of this lemma is subsequently used to derive an improved stability condition, assuming that both sector and slope information of the nonlinearity are available. Finally, the case of a differential system with white-noise parameter perturbation is considered and an illustrative example is presented. | en |
| format.extent | 67269 bytes | - |
| format.mimetype | application/pdf | - |
| language.iso | en | en |
| subject | frequency-domain | en |
| subject | ensure asymptotic | en |
| subject | white-noise parameter | en |
| title | Frequency-domain criteria for stability of a class of nonlinear stochastic systems | en |
| type | Article | en |
| Appears in Collections: | Electrical Engineering
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| mahalanabisfre1973.pdf | | 65Kb | Adobe PDF | View/Open |
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