Finite-time dissipative control for singular Markovian jump systems via quantizing approach. (February 2018)

• Record Type: Journal Article
• Authors: Li, Shuiying; Ma, Yuechao
• Is Part Of: Nonlinear analysis. Volume 27(2018)
• Page Start: 323
• Page End: 340
• Publication Date: 2018-02
• Subjects: Singular Markovian jump systems -- Time-varying transition rates -- Quantized method -- Finite-time dissipative control -- Actuator saturation; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2017.10.007
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper investigates the problem of finite-time dissipative control for a class of time-delayed singular Markovian jump systems (SMJSs) with time-varying transition rates by using a quantized approach. To begin with, sufficient conditions on singular stochastic finite-time admissible are obtained for the family of SMJS with time-varying transition rates. Following this, the results are extended to singular stochastic dissipative finite-time admissible of SMJS with time-varying transition rates. Then state feedback controllers are designed to ensure the singular stochastic finite-time admissible and the singular stochastic dissipative finite-time admissible of the underlying closed-loop SMJS in the forms of strict linear matrix inequalities (LMIs). Ultimately, numerical examples are used to indicate the correctness and effectiveness of the proposed methods.