State Estimation of Networked Finite State Machine With Communication Delays and Losses

The traditional set stability of Boolean networks (BNs) refers to whether all the states can converge to a given state subset. Different from the existing results, the set stability investigated in this paper is whether all states in a given initial set can converge to a given destination set. This paper studies the set stability and set stabilization avoiding undesirable sets of BNs and Boolean control networks (BCNs), respectively. First, by virtue of the semi-tensor product (STP) of matrices, the dynamics of BNs avoiding a given undesirable set are established. Then, the set reachability and set stability of BNs from the initial set to destination set avoiding an undesirable set are investigated, respectively. Furthermore, the set stabilization of BCNs from the initial set to destination set avoiding a given undesirable set are investigated. Finally, a design method for finding the time optimal set stabilizer is proposed, and an example is provided to illustrate the effectiveness of the results.

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“…, where J T d , Q S d and C τ,Ω are defined as ( 9), ( 28) and (23), respectively; 2: Calculate E s , ∀s = 0, 1, 2, . .…”

Section: Design Of Time Optimal Set Stabilizersmentioning

confidence: 99%

“…All the limit cycles and fixed points of general BNs are revealed by using STP [12]. In addition, controllability [13,14], observability [15,16], optimal control [17], perturbation [18,19], and other properties [20][21][22][23][24][25][26] have also been investigated. It can be seen that STP is becoming an effective tool for studying BNs.…”

Section: Introductionmentioning

confidence: 99%

Set Stability and Set Stabilization of Boolean Control Networks Avoiding Undesirable Set

Liu

Zhao

2021

Mathematics

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“…Due to limited communication capacity, signal transmission in the shared network often faces networkinduced challenges, such as network congestion, communication delays, and packet dropouts. 21,22 In industry applications, an effective way to alleviate data congestions is to introduce appropriate communication protocols for communication channels to regulate the data transmission. Among various well-exploited communication protocols, 23,24 the try-once-discard (TOD) protocol has gained significant popularity due to its dynamic scheduling of the network based on the idea of ''on-demand allocation..'' To date, numerous results concerning the analysis and synthesis issues have been acquired for networked 1D and 2D systems constrained by various communication protocols.…”

Section: Introductionmentioning

confidence: 99%

Dissipative filtering for uncertain positive Roesser system under the try-once-discard protocol

Zhang,

Liang

2024

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article addresses the problem of dissipative filtering for the delayed positive Roesser system with uncertainties under the try-once-discard communication protocol. To estimate the output of the addressed two-dimensional system, both positive lower- and upper-bounding filters are constructed, where the signals from the sensor nodes to the remote filters are transmitted through a shared communication network. To avoid the undesired data congestion phenomenon, the try-once-discard protocol is implemented to dynamically schedule the transmission sequence of the sensor nodes. Then, sufficient conditions are derived to design appropriate filters ensuring that the filtering error systems are positive, two-dimensional [Formula: see text]- γ-dissipative, and asymptotically stable. Finally, one numerical example is presented to demonstrate effectiveness of the designed filters.

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I-S detectability of partially-observed discrete event systems: a novel matrix-based method

Tong

Liang

2023

Journal of the Franklin Institute

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State Estimation of Networked Finite State Machine With Communication Delays and Losses

Cited by 14 publications

References 22 publications

Set Stability and Set Stabilization of Boolean Control Networks Avoiding Undesirable Set

Set Stability and Set Stabilization of Boolean Control Networks Avoiding Undesirable Set

Dissipative filtering for uncertain positive Roesser system under the try-once-discard protocol

I-S detectability of partially-observed discrete event systems: a novel matrix-based method

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