Stability criteria for T–S fuzzy systems with interval time-varying delays and nonlinear perturbations based on geometric progression delay partitioning method

Event‐triggered filter design for Markovian jump delay systems with nonlinear perturbation using quantized measurement

“…It should be pointed out that, in the aforementioned references, the states of Markovian jump systems are all linear. However, in many practical situations, the states may be perturbed by nonlinear disturbances due to environmental noise, uncertain or slowly varying parameters . In the work of Chen and Zheng, the L 2 – L ∞ filter was designed for stochastic Markovian jump systems with time delay and nonlinear perturbations, where nonlinear perturbations exist in both the state and measurement equations.…”

Bipartite Consensus for Multi-Agent Systems With Time-Varying Delays Based on Method of Delay Partitioning

“…The delay τ was partitioned into m small parts. Then, it was proved that the time delay tended to a constant with the increase of m. In [24], to investigate the stability of T-S fuzzy systems with interval time-varying delays and nonlinear perturbations, a novel delay partitioning method was proposed by partitioning the delay interval into a series of geometric progression based on subintervals under a common ratio α, i.e., the delay interval was unequally separated into multiple subintervals.…”

Observer‐based H∞ control for Markovian jump systems with time‐varying delays and incomplete transition rates

“…[34][35][36] As for the aforementioned traditional delay partitioning approach, there are a large number of decision variables to be solved and the computational burden increases rapidly as the subintervals become thinner. Recently, an improved delay partitioning approach was proposed, 37,38 which can further reduce the conservatism with lower computational complexity. Therefore, the motivation that presents this study can be briefly summarized as follows.…”