Improved H∞ state-feedback control for continuous-time Markovian jump fuzzy systems with incomplete knowledge of transition probabilities

Sampled-Data Control for Fuzzy Markovian Jump Systems With Actuator Saturation

“…where (23) multiplying (23) with e χ 1 t , which yields e χ 1 t ϒ(t) ≤ −χ 1 e χ 1 t ϒ(t) + χ 2 e χ 1 t W(r(0), t 0 ), (24) integrating (24) from 0 to t, since ϒ(0) = 0, we have…”

“…The delay-dependent robust stabilization problem was researched about discrete-time FMJSs with time-varying delays in [22]. The improved H ∞ state-feedback control was considered for FMJSs with unknown partial transition probabilities in [23]. By using event-triggered strategy and the mode-dependent reliable control, the conditions of stability and controller…”

Improved relaxation method for control design of non‐homogeneous Markovian jump fuzzy systems with general transition descriptions

“…Indeed, for the case where H g = ∅, the authors in [34,35] made an attempt to consider the componentwise boundary constraints on Π g * :…”

“…Thus, above of all, reducing the information loss during this process plays a key role in developing less conservative relaxation techniques. In this light, several valuable studies have been performed regarding the construction of some refined TR constraints and their usage (see [2,[33][34][35]). Among them, Kim [34] presented a method capable of establishing the bounds of completely unknown TRs to develop a proper relaxation technique for the stabilisation conditions of MJFSs with incomplete transition probability descriptions.…”

“…Among them, Kim [34] presented a method capable of establishing the bounds of completely unknown TRs to develop a proper relaxation technique for the stabilisation conditions of MJFSs with incomplete transition probability descriptions. Following that, Kwon et al [35] attempted to explore two second-order properties of TRs, from which an improved ℋ ∞ state-feedback control was obtained. However, one point to be stressed here is that most of these results have been confronted with a challenge to reduce the computational complexity that can deteriorate as the number of slack variables increases, and the other point is that there still needs to be further investigation to establish more stringent constraints on completely unknown TRs.…”