Impulsive security control for fractional-order delayed multi-agent systems with uncertain parameters and switching topology under DoS attack

Observer-Based Distributed Event-Triggered Secure Consensus of Multi-Agent System With DoS Attack

“…For the case where DoS attacks occur with unrestricted frequency and duration, it is impractical to require a malicious attacker to continuously provide energy to launch the attack. Assumptions 3 and 4 have been widely used in studies on DoS attacks, such as [16], [17], [24]- [30] etc. The state of agents is unmeasurable in realistic situations.…”

“…However, the control protocol of MAS is generally designed based on the information exchange between nodes. Therefore, it is of more profound significance to study the consensus problem of MAS under DoS attacks [24]- [31]. A new event-triggered mechanism was proposed in [27] for both leaderless and leader-follower consensus of linear MAS under a DoS attack.…”

Exponential stability of fractional‐order uncertain systems with asynchronous switching and impulses

“…In reality, the impulsive functions depending on both switching modes and impulsive time are more complex and general than the ones that only depend on the switching modes in the literature. [36][37][38][39][40][41][42][43][44][45][46][47] As a result, the analysis methods or techniques for the systems with only mode-dependent impulsive functions could be invalid for the systems with such impulsive functions that depend on both switching modes and impulsive time. Thus, there exist some difficulties and challenge in utilizing information of such impulse action introduced in this paper to the exponential stability analysis and control issue of fractional-order asynchronous switched and impulsive systems.…”

“…(i) In contrast with the systems structures in the literature [36][37][38][39][40][41][42][43][44][45][46][47] where only the mode-dependent impulsive functions were concerned, the more general and actual impulsive functions that rely on not only switching modes but also impulsive time are considered simultaneously in this paper. What is more, the parameter uncertainties are also in our consideration.…”

“…What is more, the parameter uncertainties are also in our consideration. (ii) Different from the Mittag-Leffler stability or asymptotic stability in the literature, 15,25,26 and the synchronous switched impulsive model studied in the literature, [36][37][38][39][40][41][42][43] inspired by the literature, 16,45 the exponential stability of fractional-order systems with asynchronous switching and impulses is considered in this paper, where both switched stable subsystems with positive or negative impulse and switched unstable subsystems with positive impulse are discussed, respectively. (iii) Bypassing the inequality E 𝛼 (t) ≤ 1 𝛼 exp(t 1 𝛼 )(0 < 𝛼 < 1) used in the literature, 45 some novel and less conservative stability criteria are obtained in this paper by applying the theory of fractional-order differential equations, the LMIs technique, and the methods of Lyapunov function and mathematical induction.…”