Extended dissipative resilient estimator design for discrete-time switched neural networks with unreliable links

Strictly dissipative stabilization of multiple‐memory Markov jump systems with general transition rates: A novel event‐triggered control strategy

“…If  i 1 = ∅ and  i 2 = , there exist matrixP i ∈ ℜ n×n ,P i + P i ≥ 0 (j = i),P i + P ≤ 0 (j ≠ i), such that (8), (9) hold and […”

“…Markov jump systems (MJSs) are appropriate to model such systems and have thus been widely investigated . In addition, time delays, which generally lead to undesirable situations including instability and oscillation of a system, are unavoidably encountered in signal transmission . Hence, to stabilize MJSs with time delays is important, and many interesting results have been reported .…”

“…[1][2][3][4][5][6] In addition, time delays, which generally lead to undesirable situations including instability and oscillation of a system, are unavoidably encountered in signal transmission. [7][8][9] Hence, to stabilize MJSs with time delays is important, and many interesting results have been reported. [10][11][12][13][14] However, the transition rates (TRs) of all modes were assumed to be completely known or partially known.…”

State bounding estimation for a linear continuous-time singular system with time-varying delay

“…From (34), it is easy to see that the reachable set of a system is regarded as a bounded set of all reachable states starting from the origin by input disturbances with constrained peak value. Since recently, the most interesting problem of estimation and control for dynamical systems has been to find an estimation of the bounds of the reachable sets.…”

Hybrid Event-Triggered Filtering for Nonlinear Markov Jump Systems With Stochastic Cyber-Attacks

“…Moreover, as one of the fundamental issues in the field of control, filtering problem has always been concerned [33]- [36]. Especially, given that unreliable links, which could significantly degrade the performance of NCSs, exist in communication channels inevitably, a large number of results of filter design under the influence of various network-induced factors have been reported in the literature [37]- [41]. To mention a few, in [37], the reliable L 2 − L ∞ asynchronous filtering problem was studied for the T-S fuzzy Markov jump system with sensor failures.…”