Observer design for semi-Markov jump systems with incremental quadratic constraints

Security SMC for Networked Fuzzy Singular Systems With Semi-Markov Switching Parameters

“…Either the delay or the packet loss is vague owing to stochastic complexity of the network environment, that is, to get an expected TR matrix is seldom possible. Compared with completely unknown TR and bounded TR [20][21][22][23][25][26][27][28][29][30][31][32][33][34][35][36][37][38], partly unknown TR is adopted to model stochastic semi-Markov switching process to reduce some conservatism.…”

“…Obviously, S-MJSs are less conservative in modeling practical systems than MJSs. Very recently, lots of remarkable results have been proposed for S-MJSs, such as stability and stabilization [20][21][22][23][24][25], SMC [26][27][28][29][30][31][32][33][34], event-triggered scheme [35,36], time delay [37], and disturbance rejection [38]. As a description form of differential algebraic (difference algebraic) equations, singular systems can better maintain the physical property of dynamical systems [39].…”

“…Furthermore, most of the existing results about S-MJSs are based on an ideal knowledge of completely known TR or bounded TR [20][21][22][23][25][26][27][28][29][30][31][32][33][34][35][36][37][38]. However, in practice, there exists a great difficulty in obtaining all the transition rates owing to the high cost about adequate samples for mode transitions and stochastic ST.…”

“…However, in practice, there exists a great difficulty in obtaining all the transition rates owing to the high cost about adequate samples for mode transitions and stochastic ST. Moreover, for multi-mode stochastic switching systems [15][16][17][18][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38]42,43,45,47,48,61], there is a strong limitation that the data transmission is going on under an ideal data transmission environment without no malicious cyber attacks. In addition, many factors, such as partly unknown TR, SMC mechanism, nonlinearity, and deception attacks, play a significant role in describing practical complex stochastic switching systems.…”

“…More specifically, the main contributions are summarized as: (i) Different from the sliding surface dependent of system mode [20,[30][31][32]35,36,42,43,47,61], a common sliding surface is adopted to avoid the instability owing to the repeated jumping of the sliding surface. (ii) To get rid of the constraint condition of completely known TR or bounded TR [20][21][22][23][25][26][27][28][29][30][31][32][33][34][35][36][37][38], partly unknown TR is adopted for stochastic admissibility of the corresponding system. (iii) The proposed security SMC law can guarantee that the specified sliding region is reachable within a finite-time level.…”