Abstract and Applied Analysis

Quantized State-Feedback Stabilization for Delayed Markovian Jump Linear Systems with Generally Incomplete Transition Rates

Yanbo Li, Peng Zhang, Yonggui Kao, and Hamid Reza Karimi

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Abstract

This paper is concerned with the robust quantized state-feedback controller design problem for a class of continuous-time Markovian jump linear uncertain systems with general uncertain transition rates and input quantization. The uncertainties under consideration emerge in both system parameters and mode transition rates. This new uncertain model is more general than the existing ones and can be applicable to more practical situations because each transition rate can be completely unknown or only its estimate value is known. Based on linear matrix inequalities, the quantized state-feedback controller is formulated to ensure the closed-loop system is stable in mean square. Finally, a numerical example is presented to verify the validity of the developed theoretical results.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 961925, 9 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412278127

Digital Object Identifier
doi:10.1155/2014/961925

Mathematical Reviews number (MathSciNet)
MR3216084

Zentralblatt MATH identifier
07023406

Citation

Li, Yanbo; Zhang, Peng; Kao, Yonggui; Karimi, Hamid Reza. Quantized State-Feedback Stabilization for Delayed Markovian Jump Linear Systems with Generally Incomplete Transition Rates. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 961925, 9 pages. doi:10.1155/2014/961925. https://projecteuclid.org/euclid.aaa/1412278127


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