Preface
Acknowledgements
Contents
1 Introduction
1.1 Markovian Jump Systems (MJSs)
1.1.1 Nonlinear MJSs
1.1.2 Switching MJSs
1.1.3 Non-homogenous MJSs
1.2 Finite-Time Stability and Control
1.2.1 FTS for Deterministic Systems
1.2.2 FTS for Stochastic MJSs
1.3 Outline
References
2 Finite-Time Stability and Stabilization for Discrete-Time Markovian Jump Systems
2.1 Introduction
2.2 Preliminaries and Problem Formulation
2.3 Stochastic Finite-Time Stabilization for Linear MJSs
2.4 Stochastic Finite-Time Stabilization for Nonlinear MJSs
2.5 Simulation Analysis
2.6 Conclusion
References
3 Finite-Time Stability and Stabilization for Switching Markovian Jump Systems
3.1 Introduction
3.2 Preliminaries and Problem Formulation
3.3 Stochastic Finite-Time Hinfty Control
3.4 Observer-Based Finite-Time Hinfty Control
3.5 Simulation Analysis
3.6 Conclusion
References
4 Finite-Time Stability and Stabilization for Non-homegeneous Markovian Jump Systems
4.1 Introduction
4.2 Preliminaries and Problem Formulation
4.3 Stochastic Finite-Time Stabilization
4.4 Stochastic Finite-Time Hinfty Control
4.5 Observer-Based Finite-Time Control
4.6 Simulation Analysis
4.7 Conclusion
References
5 Asynchronous Finite-Time Passive Control for Discrete-Time Markovian Jump Systems
5.1 Introduction
5.2 Finite-Time Passive Control
5.3 Asynchronous Finite-Time Passive Control
5.4 Simulation Analysis
5.5 Conclusions
References
6 Finite-Time Sliding Mode Control for Discrete-Time Markovian Jump Systems
6.1 Introduction
6.2 Finite-Time Sliding Mode Control
6.3 Asynchronous Finite-Time Sliding Mode Control
6.4 Simulation Analysis
6.5 Conclusion
References
7 Finite-Frequency Control with Finite-Time Performance for Markovian Jump Systems
7.1 Introduction
7.2 Finite-Time Stabilization with Finite-Frequency Performance
7.3 Finite-Time Multiple-Frequency Control Based on Derandomization
7.4 Simulation Analysis
7.5 Conclusion
References
8 Stochastic Finite-Time Consensualization for Markovian Jump Networks with Disturbances
8.1 Introduction
8.2 Preliminaries and Problem Formulation
8.3 Finite-Time Consensualization with State Feedback
8.4 Finite-Time Consensualization with Output Feedback
8.5 Simulation Analysis
8.6 Conclusion
References
9 Higher-Order Moment Finite-Time Stabilization for Discrete-Time Markovian Jump Systems
9.1 Introduction
9.2 Preliminaries and Problem Formulation
9.3 Higher-Order Moment Stabilization in the Finite-Time Domain
9.4 Higher-Order Moment Finite-Time Stabilization with Finite-Frequency Performance
9.5 Simulation Analysis
9.6 Conclusion
References
10 Model Predictive Control for Markovian Jump Systems in the Finite-Time Domain
10.1 Introduction
10.2 Stochastic Finite-Time MPC for MJSs
10.3 Stochastic Finite-Time MPC for Semi-MJSs
10.4 Simulation Analysis
10.5 Conclusion
References
11 Conclusion
Index