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DistributedH∞Sampled-Data Filtering over Sensor Networks with Markovian Switching Topologies
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| Zeitschriftentitel: | Mathematical Problems in Engineering |
|---|---|
| Personen und Körperschaften: | , , |
| In: | Mathematical Problems in Engineering, 2014, 2014, S. 1-8 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Hindawi Limited
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| Schlagwörter: |
| author_facet |
Yang, Bin Zhu, Chaoqun Wang, Zhiwen Yang, Bin Zhu, Chaoqun Wang, Zhiwen |
|---|---|
| author |
Yang, Bin Zhu, Chaoqun Wang, Zhiwen |
| spellingShingle |
Yang, Bin Zhu, Chaoqun Wang, Zhiwen Mathematical Problems in Engineering DistributedH∞Sampled-Data Filtering over Sensor Networks with Markovian Switching Topologies General Engineering General Mathematics |
| author_sort |
yang, bin |
| spelling |
Yang, Bin Zhu, Chaoqun Wang, Zhiwen 1024-123X 1563-5147 Hindawi Limited General Engineering General Mathematics http://dx.doi.org/10.1155/2014/670467 <jats:p>This paper considers a distributed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>sampled-data filtering problem in sensor networks with stochastically switching topologies. It is assumed that the topology switching is triggered by a Markov chain. The output measurement at each sensor is first sampled and then transmitted to the corresponding filters via a communication network. Considering the effect of a transmission delay, a distributed filter structure for each sensor is given based on the sampled data from itself and its neighbor sensor nodes. As a consequence, the distributed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>sampled-data filtering in sensor networks under Markovian switching topologies is transformed into<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>mean-square stability problem of a Markovian jump error system with an interval time-varying delay. By using Lyapunov Krasovskii functional and reciprocally convex approach, a new bounded real lemma (BRL) is derived, which guarantees the mean-square stability of the error system with a desired<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M5"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>performance. Based on this BRL, the topology-dependent<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M6"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>sampled-data filters are obtained. An illustrative example is given to demonstrate the effectiveness of the proposed method.</jats:p> Distributed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>Sampled-Data Filtering over Sensor Networks with Markovian Switching Topologies Mathematical Problems in Engineering |
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10.1155/2014/670467 |
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Online Free |
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ElectronicArticle |
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ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTE1NS8yMDE0LzY3MDQ2Nw |
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DE-L229 DE-D275 DE-Bn3 DE-Brt1 DE-Zwi2 DE-D161 DE-Gla1 DE-Zi4 DE-15 DE-Pl11 DE-Rs1 DE-105 DE-14 DE-Ch1 |
| imprint |
Hindawi Limited, 2014 |
| imprint_str_mv |
Hindawi Limited, 2014 |
| issn |
1024-123X 1563-5147 |
| issn_str_mv |
1024-123X 1563-5147 |
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English |
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Hindawi Limited (CrossRef) |
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yang2014distributedhsampleddatafilteringoversensornetworkswithmarkovianswitchingtopologies |
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2014 |
| publisher |
Hindawi Limited |
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ai |
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ai |
| series |
Mathematical Problems in Engineering |
| source_id |
49 |
| title |
DistributedH∞Sampled-Data Filtering over Sensor Networks with Markovian Switching Topologies |
| title_unstemmed |
DistributedH∞Sampled-Data Filtering over Sensor Networks with Markovian Switching Topologies |
| title_full |
DistributedH∞Sampled-Data Filtering over Sensor Networks with Markovian Switching Topologies |
| title_fullStr |
DistributedH∞Sampled-Data Filtering over Sensor Networks with Markovian Switching Topologies |
| title_full_unstemmed |
DistributedH∞Sampled-Data Filtering over Sensor Networks with Markovian Switching Topologies |
| title_short |
DistributedH∞Sampled-Data Filtering over Sensor Networks with Markovian Switching Topologies |
| title_sort |
distributed<mml:math xmlns:mml="http://www.w3.org/1998/math/mathml" id="m1"><mml:mrow><mml:msub><mml:mrow><mml:mi>h</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>sampled-data filtering over sensor networks with markovian switching topologies |
| topic |
General Engineering General Mathematics |
| url |
http://dx.doi.org/10.1155/2014/670467 |
| publishDate |
2014 |
| physical |
1-8 |
| description |
<jats:p>This paper considers a distributed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>sampled-data filtering problem in sensor networks with stochastically switching topologies. It is assumed that the topology switching is triggered by a Markov chain. The output measurement at each sensor is first sampled and then transmitted to the corresponding filters via a communication network. Considering the effect of a transmission delay, a distributed filter structure for each sensor is given based on the sampled data from itself and its neighbor sensor nodes. As a consequence, the distributed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>sampled-data filtering in sensor networks under Markovian switching topologies is transformed into<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>mean-square stability problem of a Markovian jump error system with an interval time-varying delay. By using Lyapunov Krasovskii functional and reciprocally convex approach, a new bounded real lemma (BRL) is derived, which guarantees the mean-square stability of the error system with a desired<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M5"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>performance. Based on this BRL, the topology-dependent<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M6"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>sampled-data filters are obtained. An illustrative example is given to demonstrate the effectiveness of the proposed method.</jats:p> |
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| _version_ | 1792321684031668227 |
| author | Yang, Bin, Zhu, Chaoqun, Wang, Zhiwen |
| author_facet | Yang, Bin, Zhu, Chaoqun, Wang, Zhiwen, Yang, Bin, Zhu, Chaoqun, Wang, Zhiwen |
| author_sort | yang, bin |
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| description | <jats:p>This paper considers a distributed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>sampled-data filtering problem in sensor networks with stochastically switching topologies. It is assumed that the topology switching is triggered by a Markov chain. The output measurement at each sensor is first sampled and then transmitted to the corresponding filters via a communication network. Considering the effect of a transmission delay, a distributed filter structure for each sensor is given based on the sampled data from itself and its neighbor sensor nodes. As a consequence, the distributed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>sampled-data filtering in sensor networks under Markovian switching topologies is transformed into<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>mean-square stability problem of a Markovian jump error system with an interval time-varying delay. By using Lyapunov Krasovskii functional and reciprocally convex approach, a new bounded real lemma (BRL) is derived, which guarantees the mean-square stability of the error system with a desired<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M5"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>performance. Based on this BRL, the topology-dependent<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M6"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>sampled-data filters are obtained. An illustrative example is given to demonstrate the effectiveness of the proposed method.</jats:p> |
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| imprint | Hindawi Limited, 2014 |
| imprint_str_mv | Hindawi Limited, 2014 |
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| spelling | Yang, Bin Zhu, Chaoqun Wang, Zhiwen 1024-123X 1563-5147 Hindawi Limited General Engineering General Mathematics http://dx.doi.org/10.1155/2014/670467 <jats:p>This paper considers a distributed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>sampled-data filtering problem in sensor networks with stochastically switching topologies. It is assumed that the topology switching is triggered by a Markov chain. The output measurement at each sensor is first sampled and then transmitted to the corresponding filters via a communication network. Considering the effect of a transmission delay, a distributed filter structure for each sensor is given based on the sampled data from itself and its neighbor sensor nodes. As a consequence, the distributed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>sampled-data filtering in sensor networks under Markovian switching topologies is transformed into<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M4"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>mean-square stability problem of a Markovian jump error system with an interval time-varying delay. By using Lyapunov Krasovskii functional and reciprocally convex approach, a new bounded real lemma (BRL) is derived, which guarantees the mean-square stability of the error system with a desired<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M5"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>performance. Based on this BRL, the topology-dependent<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M6"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>sampled-data filters are obtained. An illustrative example is given to demonstrate the effectiveness of the proposed method.</jats:p> Distributed<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>Sampled-Data Filtering over Sensor Networks with Markovian Switching Topologies Mathematical Problems in Engineering |
| spellingShingle | Yang, Bin, Zhu, Chaoqun, Wang, Zhiwen, Mathematical Problems in Engineering, DistributedH∞Sampled-Data Filtering over Sensor Networks with Markovian Switching Topologies, General Engineering, General Mathematics |
| title | DistributedH∞Sampled-Data Filtering over Sensor Networks with Markovian Switching Topologies |
| title_full | DistributedH∞Sampled-Data Filtering over Sensor Networks with Markovian Switching Topologies |
| title_fullStr | DistributedH∞Sampled-Data Filtering over Sensor Networks with Markovian Switching Topologies |
| title_full_unstemmed | DistributedH∞Sampled-Data Filtering over Sensor Networks with Markovian Switching Topologies |
| title_short | DistributedH∞Sampled-Data Filtering over Sensor Networks with Markovian Switching Topologies |
| title_sort | distributed<mml:math xmlns:mml="http://www.w3.org/1998/math/mathml" id="m1"><mml:mrow><mml:msub><mml:mrow><mml:mi>h</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>sampled-data filtering over sensor networks with markovian switching topologies |
| title_unstemmed | DistributedH∞Sampled-Data Filtering over Sensor Networks with Markovian Switching Topologies |
| topic | General Engineering, General Mathematics |
| url | http://dx.doi.org/10.1155/2014/670467 |