Random variable

Aerospace engineering

Topology (electrical circuits)

Mathematics

Computer science

Bernoulli's principle

Piecewise

Fuzzy control system

Constant (computer programming)

Engineering

Synchronization (alternating current)

Bernoulli distribution

Combinatorics

Markov chain

Artificial intelligence

Applied mathematics

Fuzzy logic

Statistics

Mathematical analysis

Programming language

Discrete mathematics

IEEE Transactions on Fuzzy Systems

This article investigates the nonfragile <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\mathcal {H}_{\infty }$</tex-math></inline-formula> synchronization issue for a class of discrete-time Takagi–Sugeno (T–S) fuzzy Markov jump systems. With regard to the T–S fuzzy model, a novel processing method based on the matrix transformation is introduced to deal with the double summation inequality containing fuzzy weighting functions, which may be beneficial to obtain conditions with less conservatism. In view of the fact that the uncertainties may occur randomly in the execution of the actuator, a nonfragile controller design scheme is presented by virtue of the Bernoulli distributed white sequence. The main novelty of this article lies in that the transition probabilities of the Markov chain are considered to be piecewise time-varying, and whose variation characteristics are described by the persistent dwell-time switching regul...

$\mathcal {H}_{\infty }$ Synchronization for Fuzzy Markov Jump Chaotic Systems With Piecewise-Constant Transition Probabilities Subject to PDT Switching Rule