Finite-time boundedness of Markovain jump nonlinear systems with incomplete information. Issue 16 (10th December 2018)

• Record Type: Journal Article
• Authors: Zhang, Yingqi; Yang, Yang; Shi, Peng; Pan, Jeng-Shyang
• Is Part Of: International journal of systems science. Volume 49:Issue 16(2018)
• Page Start: 3296
• Page End: 3306
• Publication Date: 2018-12-10
• Subjects: Markovian jump nonlinear systems -- stochastic finite-time boundedness -- stochastic finite-time H∞ boundedness -- incomplete transition probabilities; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2018.1536235
• Languages: English
• ISSNs: 0020-7721

Abstract

ABSTRACT: This paper deals with the finite-timeH ∞ bounded control problem of a class of uncertain Markovian jump nonlinear systems with partially unknown transition probabilities and norm-bounded disturbances. The purpose of the paper is to derive a stochastic finite-time controller such that the resulting nominal or uncertain stochastic nonlinear model is stochastically finite-timeH ∞ bounded by applying stochastic analysis techniques and free connection weighting matrix approach. We also provide stochastic finite-time stability and stochastic finite-time boundedness criteria of the class of nominal or uncertain stochastic nonlinear dynamics. Moreover, the derived criteria can be simplified into linear matrix inequalities (LMIs), which could be solved by employing Matlab LMI toolbox. Finally, the effectiveness of proposed approaches is demonstrated by a practical example.