dc.contributor.author | Liu, Yurong | |
dc.contributor.author | Karimi, Hamid Reza | |
dc.contributor.author | Liu, Xiaohui | |
dc.date.accessioned | 2014-01-27T13:24:19Z | |
dc.date.available | 2014-01-27T13:24:19Z | |
dc.date.issued | 2013 | |
dc.identifier.citation | Liu, Y., Karimi, H. R., & Liu, X. (2013). Optimal guaranteed cost control of a class of discrete-time nonlinear systems with Markovian switching and mode-dependent mixed time delays. Abstract and Applied Analysis, 2013. doi: 10.1155/2013/653628 | no_NO |
dc.identifier.issn | 1085-3375 | |
dc.identifier.uri | http://hdl.handle.net/11250/136993 | |
dc.description | Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2013/653628 Open Access | no_NO |
dc.description.abstract | The guaranteed cost control problem is investigated for a class of nonlinear discrete-time systems with Markovian jumping parameters and mixed time delays. The mixed time delays involved consist of both the mode-dependent discrete delay and the distributed delay with mode-dependent lower bound. The associated cost function is of a quadratic summation form over the infinite horizon. The nonlinear functions are assumed to satisfy sector-bounded conditions. By introducing new Lyapunov-Krasovskii functionals and developing some new analysis techniques, sufficient conditions for the existence of guaranteed cost controllers are derived with respect to the given cost function. Moreover, a convex optimization approach is applied to search for the optimal guaranteed cost controller by minimizing the guaranteed cost of the closed-loop system. Numerical simulation is further carried out to demonstrate the effectiveness of the proposed methods. | no_NO |
dc.language.iso | eng | no_NO |
dc.publisher | Hindawi Publishing Corporation | no_NO |
dc.title | Optimal guaranteed cost control of a class of discrete-time nonlinear systems with Markovian switching and mode-dependent mixed time delays | no_NO |
dc.type | Journal article | no_NO |
dc.type | Peer reviewed | no_NO |
dc.subject.nsi | VDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411 | no_NO |
dc.source.pagenumber | 1-11 | no_NO |
dc.source.journal | Abstract and Applied Analysis | no_NO |
dc.identifier.doi | 10.1155/2013/653628 | |