 Reachable set estimation for Markov jump LPV systems with time delaysXuelian Wang, Jianwei Xia, Jing Wang, Zhen Wang and Jian Wang Applied Mathematics and Computation, 2020, vol. 376, issue C Abstract: This paper investigates the reachable set estimation problem for discrete-time Markov jump LPV systems with time-varying delays and bounded disturbance. The main consideration is that under zero initial conditions, how to obtain a bound set as small as possible that includes system states. Based on this, by applying a novel summation inequality integrated with the reciprocally convex approach under the framework of the Lyapunov functional method, the delay-dependent conditions are provided to guarantee the presence of an ellipsoid that bounds the system state in the existence of bounded disturbances. Some derived conditions expressed by linear matrix inequalities can be solved via utilizing different computational tools, and the minimum possible ellipsoidal bound can also be determined. Additionally, the obtained results are extensively used in the case with partially known transition probability, and some conditions with more universality are derived. Finally, a numerical example is given to illustrate the effectiveness of the results. Keywords: Markov jump systems; Linear parameter varying systems; Reachable set estimation; Time-varying delays (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:376:y:2020:i:c:s0096300320300862 DOI: 10.1016/j.amc.2020.125117 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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