Abstract | ||
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This technical communique extends the recent results of Geromel and Gabriel (2015) to H∞ sampled-data control design of Markov jump linear systems (MJLS). It fulfills a lack of a specific necessary and sufficient result in the literature of sampled-data control of MJLS in the context of H∞ performance. Mean square stabilizability and performance determination are addressed and discussed in a unified theoretical viewpoint. As a natural consequence, it is shown that the previous result of Geromel and Gabriel (2015) is obtained as a particular case. A globally uniformly convergent algorithm is proposed to solve the design conditions. The theory is illustrated by means of an example. |
Year | DOI | Venue |
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2017 | 10.1016/j.automatica.2017.08.015 | Automatica |
Keywords | Field | DocType |
Sampled-data control,Hybrid systems,Markov processes,Optimal control | Markov jump linear systems,Mean square,Mathematical optimization,Control theory,Uniform convergence,Data control,Mathematics | Journal |
Volume | Issue | ISSN |
86 | C | 0005-1098 |
Citations | PageRank | References |
3 | 0.38 | 1 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Gabriela W. Gabriel | 1 | 22 | 3.54 |
José Claudio Geromel | 2 | 164 | 36.34 |