Delay-dependent H∞ performance analysis for markovian jump systems with mode-dependent time varying delays and partially known transition rates

Xudong Zhao; Qingshuang Zeng

doi:10.1007/s12555-010-0238-0

Delay-dependent H_∞ performance analysis for markovian jump systems with mode-dependent time varying delays and partially known transition rates

Xudong Zhao^*
, Qingshuang Zeng

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

This paper deals with the H_∞ performance analysis problems for a class of Markovian jump systems with partially known transition rates and time-delays which are time varying and depend on system mode. Following the recent study on the class of systems, improved sufficient conditions for H _∞ performance of the underlying systems are derived in form of LMI by constructing a new Lyapunov-Krasovskii functional. Illustrative numerical examples are provided to demonstrate the effectiveness of the proposed approach.

Original language	English
Pages (from-to)	482-489
Number of pages	8
Journal	International Journal of Control, Automation and Systems
Volume	8
Issue number	2
DOIs	https://doi.org/10.1007/s12555-010-0238-0
State	Published - Apr 2010

Keywords

H performance
Linear matrix inequality (LMI)
Markovian jump systems
Time-varying delays

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10.1007/s12555-010-0238-0

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abstract = "This paper deals with the H∞ performance analysis problems for a class of Markovian jump systems with partially known transition rates and time-delays which are time varying and depend on system mode. Following the recent study on the class of systems, improved sufficient conditions for H ∞ performance of the underlying systems are derived in form of LMI by constructing a new Lyapunov-Krasovskii functional. Illustrative numerical examples are provided to demonstrate the effectiveness of the proposed approach.",

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N2 - This paper deals with the H∞ performance analysis problems for a class of Markovian jump systems with partially known transition rates and time-delays which are time varying and depend on system mode. Following the recent study on the class of systems, improved sufficient conditions for H ∞ performance of the underlying systems are derived in form of LMI by constructing a new Lyapunov-Krasovskii functional. Illustrative numerical examples are provided to demonstrate the effectiveness of the proposed approach.

AB - This paper deals with the H∞ performance analysis problems for a class of Markovian jump systems with partially known transition rates and time-delays which are time varying and depend on system mode. Following the recent study on the class of systems, improved sufficient conditions for H ∞ performance of the underlying systems are derived in form of LMI by constructing a new Lyapunov-Krasovskii functional. Illustrative numerical examples are provided to demonstrate the effectiveness of the proposed approach.

KW - H performance

KW - Linear matrix inequality (LMI)

KW - Markovian jump systems

KW - Time-varying delays

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JF - International Journal of Control, Automation and Systems

IS - 2

ER -

Delay-dependent H_∞ performance analysis for markovian jump systems with mode-dependent time varying delays and partially known transition rates

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