Finite-Time Passivity and Passification for Stochastic Time-Delayed Markovian Switching Systems with Partly Known Transition Rates

Circuits Systems and Signal Processing ◽

10.1007/s00034-015-0239-6 ◽

2016 ◽

Vol 35 (11) ◽

pp. 3913-3934 ◽

Author(s):

Wenhai Qi ◽

Xianwen Gao ◽

Jiyang Wang

Keyword(s):

Finite Time ◽

Markovian Switching ◽

Switching Systems ◽

Transition Rates ◽

Partly Known Transition Rates ◽

Markovian Switching Systems ◽

Passivity And Passification ◽

Stochastic Time

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Finite-timeH∞control for stochastic time-delayed Markovian switching systems with partly known transition rates and nonlinearity

International Journal of Systems Science ◽

10.1080/00207721.2015.1025891 ◽

2015 ◽

Vol 47 (2) ◽

pp. 500-508 ◽

Author(s):

Wenhai Qi ◽

Xianwen Gao

Keyword(s):

Markovian Switching ◽

Switching Systems ◽

Transition Rates ◽

Partly Known Transition Rates ◽

Markovian Switching Systems ◽

Stochastic Time

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Wenhai Qi and Xianwen Gao (2015). Finite-timeH∞control for stochastic time-delayed Markovian switching systems with partly known transition rates and nonlinearity.International Journal of Systems Science. doi:10.1080/00207721.2015.1025891

International Journal of Systems Science ◽

10.1080/00207721.2015.1041231 ◽

2015 ◽

Vol 47 (2) ◽

pp. I-I

Keyword(s):

Markovian Switching ◽

Systems Science ◽

Switching Systems ◽

Transition Rates ◽

Partly Known Transition Rates ◽

Markovian Switching Systems ◽

Stochastic Time

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Robust H ∞ control for stochastic time-delayed Markovian switching systems under partly known transition rates and actuator saturation via anti-windup design

Optimal Control Applications and Methods ◽

10.1002/oca.2183 ◽

2015 ◽

Vol 37 (4) ◽

pp. 608-626 ◽

Author(s):

Wenhai Qi ◽

Xianwen Gao

Keyword(s):

Actuator Saturation ◽

Markovian Switching ◽

Switching Systems ◽

Transition Rates ◽

Partly Known Transition Rates ◽

Markovian Switching Systems ◽

Stochastic Time

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H ∞ control for sochastic time-delayed Markovian switching systems with partly known transition rates and input saturation

International Journal of Control Automation and Systems ◽

10.1007/s12555-015-0032-0 ◽

2016 ◽

Vol 14 (3) ◽

pp. 637-646 ◽

Author(s):

Xianwen Gao ◽

Lian Lian ◽

Wenhai Qi

Keyword(s):

Input Saturation ◽

Markovian Switching ◽

Switching Systems ◽

Transition Rates ◽

Partly Known Transition Rates ◽

Markovian Switching Systems

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Observer-based robust finite time H ∞ sliding mode control for Markovian switching systems with mode-dependent time-varying delay and incomplete transition rate

ISA Transactions ◽

10.1016/j.isatra.2015.12.013 ◽

2016 ◽

Vol 61 ◽

pp. 29-48 ◽

Author(s):

Lijun Gao ◽

Xiaoxiao Jiang ◽

Dandan Wang

Keyword(s):

Sliding Mode Control ◽

Finite Time ◽

Transition Rate ◽

Sliding Mode ◽

Markovian Switching ◽

Switching Systems ◽

Time Varying ◽

Time Varying Delay ◽

Markovian Switching Systems ◽

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L1 finite-time stabilization for positive semi-Markovian switching systems

Information Sciences ◽

10.1016/j.ins.2018.10.045 ◽

2019 ◽

Vol 477 ◽

pp. 321-333 ◽

Author(s):

Wenhai Qi ◽

Ju H. Park ◽

Guangdeng Zong ◽

Jun Cheng

Keyword(s):

Finite Time ◽

Markovian Switching ◽

Switching Systems ◽

Markovian Switching Systems ◽

Finite Time Stabilization

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Robust finite-time stabilization for positive delayed semi-Markovian switching systems

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.12.069 ◽

2019 ◽

Vol 351 ◽

pp. 139-152 ◽

Author(s):

Wenhai Qi ◽

Guangdeng Zong ◽

Jun Cheng ◽

Ticao Jiao

Keyword(s):

Finite Time ◽

Markovian Switching ◽

Switching Systems ◽

Markovian Switching Systems ◽

Finite Time Stabilization

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A hidden mode observation approach to finite-time SOFC of Markovian switching systems with quantization

Nonlinear Dynamics ◽

10.1007/s11071-020-05501-0 ◽

2020 ◽

Vol 100 (1) ◽

pp. 509-521 ◽

Author(s):

Jun Cheng ◽

Ju H. Park ◽

Jinde Cao ◽

Wenhai Qi

Keyword(s):

Finite Time ◽

Markovian Switching ◽

Switching Systems ◽

Markovian Switching Systems

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H∞ observer design for stochastic time-delayed systems with Markovian switching under partly known transition rates and actuator saturation

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.05.011 ◽

2016 ◽

Vol 289 ◽

pp. 80-97 ◽

Author(s):

Wenhai Qi ◽

Xianwen Gao

Keyword(s):

Actuator Saturation ◽

Observer Design ◽

Markovian Switching ◽

Transition Rates ◽

Delayed Systems ◽

Partly Known Transition Rates ◽

Stochastic Time

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Stochastic Finite-Time Stability of Nonlinear Markovian Switching Systems With Impulsive Effects

Journal of Dynamic Systems Measurement and Control ◽

10.1115/1.4005359 ◽

2011 ◽

Vol 134 (1) ◽

Author(s):

Jia Xu ◽

Jitao Sun ◽

Dong Yue

Keyword(s):

Finite Time ◽

Sufficient Conditions ◽

Markovian Switching ◽

Impulsive Effects ◽

Linear Matrix ◽

Switching Systems ◽

Time Stability ◽

Finite Time Stability ◽

Markovian Switching Systems ◽

Linear Matrix Inequality Approach

In this paper, we introduce a new concept of stochastic finite-time stability for a class of nonlinear Markovian switching systems with impulsive effects. Based on the linear matrix inequality approach, sufficient conditions for the system to be stochastic finite-time stable are derived. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed conditions.

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