This study addresses H ∞ filtering amidst DoS attacks within the framework of singular Markov jump systems. To provide a more comprehensive depiction of the issue pertaining to cyber security, DoS attacks are perceived as occurring in an unpredictable manner and can be represented by a collection of random variables that follow the Bernoulli distribution. Consequently, the corresponding filter error system is formulated. Utilizing a set of viable linear matrix inequalities, this research establishes criteria of stochastically admissible for filter error system, ensuring a specified H ∞ performance. A filter design method under DoS attack is proposed. Finally, this method's efficacy is displayed through a practical example involving a tunnel diode model.
INDEX TERMSBernoulli distribution, singular Markov jump system, Denial of service (DoS) attack, tunnel diode model.