Event‐triggered stabilization for continuous‐time saturating Markov jump systems with generally uncertain transition rates

2020 ◽  
Author(s):  
Hongchao Li ◽  
Xinzhou Liu ◽  
Jiao Liu ◽  
Peng Yang
Keyword(s):  
Continuous Time ◽  
Transition Rates ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Generally Uncertain Transition Rates ◽  
Jump Systems ◽  
Event Triggered

Network‐based robust event‐triggered control for continuous‐time uncertain semi‐Markov jump systems

2020 ◽  
Vol 31 (1) ◽  
pp. 306-323
Author(s):  
Linchuang Zhang ◽  
Yonghui Sun ◽  
Yingnan Pan ◽  
Dongchen Hou ◽  
Sen Wang
Keyword(s):  
Continuous Time ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Jump Systems ◽  
Event Triggered

A novel full-order and reduced-order fault detection filters design method for continuous-time singular Markov jump systems with complexity transition rates

2021 ◽  
pp. 014233122199096
Author(s):  
Yunling Shi ◽  
Xiuyan Peng
Keyword(s):  
Fault Detection ◽  
Continuous Time ◽  
Design Method ◽  
Transition Rates ◽  
Markov Jump ◽  
Markov Jump Systems ◽  
Reduced Order ◽  
Jump Systems ◽  
Stochastic Admissibility ◽  
Fault Detection Filters

This work is concerned with the problem of full-order and reduced-order fault detection filters (FDFs) design in a convex optimization frame for continuous-time singular Markov jump systems (CTSMJSs) with complexity transition rates (TRs). A novel Lyapunov function construct approach is utilized to cope with the stochastic admissibility problem for CTSMJSs with complexity TRs. In order to obtain effective full-order and reduced-order FDFs, we decoupled the inequality using the presupposed Lyapunov matrix. Owing to the use of Lyapunov stochastic admissibility theory and a novel decoupling method based on convex polyhedron technique, some sufficient conditions are obtained to guarantee that the resulting full-order and reduced-order FDFs are suitable for CTSMJSs with complexity TRs. In particular, the reduced-order FDF has the advantages of small storage space and fast detection speed compared with the full order FDF. Four illustrative examples are given to explain the effectiveness of the proposed full-order and reduced-order FDFs design method.

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