Consensus of Hybrid Multi-Agent Systems With Malicious Nodes

Shang, Yilun

doi:10.1109/tcsii.2019.2918752

Cited by 58 publications

(65 citation statements)

References 22 publications

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“…In particular, we shall consider the well-posedness and the Ulam-Hyers stability of the fixed point problem. We note that the word 'hybrid' has been used in different ways, in particular, in applicable nonlinear fields, see, e.g., [27,28].…”

Section: Discussionmentioning

confidence: 99%

Admissible Hybrid Z-Contractions in b-Metric Spaces

Chifu

Karapınar

2019

Axioms

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In this manuscript, we introduce a new notion, admissible hybrid Z-contraction that unifies several nonlinear and linear contractions in the set-up of a b-metric space. In our main theorem, we discuss the existence and uniqueness result of such mappings in the context of complete b-metric space. The given result not only unifies the several existing results in the literature, but also extends and improves them. We express some consequences of our main theorem by using variant examples of simulation functions. As applications, the well-posedness and the Ulam-Hyers stability of the fixed point problem are also studied.Axioms 2020, 9, 2 2 of 17As it was mentioned before, the theory has been advanced by reporting several new fixed point results that are obtained by changing the conditions on the given mappings. As a result, in the literature, there are so many different types of metric fixed point results that cause a disturbance, conflict, and disorder. For overcoming this problem, it needs to consider new theorems that cover several different results. One of the successful results in directions was given in [4] where admissible mappings were introduced to combine different structures. Other interesting results were given in [5] in which the notion of the simulation function was defined to combine many distinct contractions. The notion of the hybrid contractions can also be considered as a result of this trend: in two recent papers [6,7], the authors introduce a new type of contraction, namely admissible hybrid contraction, in order to unify several linear, nonlinear and interpolative contractions in the set-up of a complete metric and b-metric spaces.One of the main aims of this paper is to unify the several existing results in the literature by combining the interesting notions: admissible mappings, simulation functions, and hybrid contractions. Besides unifying the results, we express our results in the most generalized form: in the setting of a complete b-metric space. Next, we shall consider applications for our obtained results. In particular, we shall consider the well-posedness and the Ulam-Hyers stability of the fixed point problem. We shall give some consequences and we shall indicate how one can get more consequences from the main theorem of the paper. In the next section, we shall give some basic notions and results to provide a self-contained, easily readable paper. PreliminariesIn this section, we shall collect the necessary notations, notions, and results for the sake of the completeness of the paper. We first express the definition of the b-metric, as follows.Definition 1 (See, e.g., Bourbaki [1], Bakhtin [2], and Czerwik [3]). Let X be a nonempty set and let s ≥ 1 be a given real number. A functional d : X × X → [0, ∞) is said to be a b-metric with constant s, if

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Section: Discussionmentioning

confidence: 99%

Admissible Hybrid Z-Contractions in b-Metric Spaces

Chifu

Karapınar

2019

Axioms

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“…where, Equation 7shows that load a belongs to the load category B and E and thus have zero tolerance towards delay, Equation 8represents the load category C that has the minimum priority and can be scheduled anytime in the entire time horizon and Equation (9) shows that load a belongs to the semi-delay tolerant category and can only be scheduled in the pre-set allowed time slots. Where, Γ req, a denotes the required operation time of load a, and Γ EMC a provides the scheduled time interval.…”

Section: Load Delaymentioning

confidence: 99%

“…In communication and networks, the coexistence of both discrete and continuous valued agents is interpreted as hybrid system [9]. Whereas in SG, a hybrid energy system is defined as the existence of more than one energy system to accommodate the end users energy demand.…”

Section: On-site Energy Generation and Storage Systemmentioning

confidence: 99%

“…However, the great paradigm shift due to the involvement of information and communication technologies (ICTs) the traditional ways of energy generation, transmission and distribution need to be upgraded [2][3][4][5][6][7][8]. The author in [9] presented a hybrid opinion network containing of continuous and discrete valued agents. This model discussed a communication behavior for social dynamical systems.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Residential Load Scheduling with the Integration of On-Site PV and Energy Storage Systems in Micro-Grid

et al. 2019

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The smart grid (SG) has emerged as a key enabling technology facilitating the integration of variable energy resources with the objective of load management and reduced carbon-dioxide (CO 2 ) emissions. However, dynamic load consumption trends and inherent intermittent nature of renewable generations may cause uncertainty in active resource management. Eventually, these uncertainties pose serious challenges to the energy management system. To address these challenges, this work establishes an efficient load scheduling scheme by jointly considering an on-site photo-voltaic (PV) system and an energy storage system (ESS). An optimum PV-site matching technique was used to optimally select the highest capacity and lowest cost PV module. Furthermore, the best-fit of PV array in regard with load is anticipated using least square method (LSM). Initially, the mathematical models of PV energy generation, consumption and ESS are presented along with load categorization through Zero and Finite shift methods. Then, the final problem is formulated as a multiobjective optimization problem which is solved by using the proposed Dijkstra algorithm (DA). The proposed algorithm quantifies day-ahead electricity market consumption cost, used energy mixes, curtailed load, and grid imbalances. However, to further analyse and compare the performance of proposed model, the results of the proposed algorithm are compared with the genetic algorithm (GA), binary particle swarm optimization (BPSO), and optimal pattern recognition algorithm (OPRA), respectively. Simulation results show that DA achieved 51.72% cost reduction when grid and renewable sources are used. Similarly, DA outperforms other algorithms in terms of maximum peak to average ratio (PAR) reduction, which is 10.22%.

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“…Here, the communication topologies were modeled. The study concluded that the voters" Additionally, [26] also investigated resilient consensus problem in hybrid multi-agent system. The hybrid multi agent system itself consists of continuous time and discrete time dynamical agents.…”

Section: B Hill Climbingmentioning

confidence: 99%

Hybrid Latin-Hyper-Cube-Hill-Climbing Method for Optimizing: Experimental Testing

Elysia¹,

Hartanto²,

Nugeraha³

2019

IJACSA

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A noticeable objective of this work is to experiment and test an optimization problem through comparing hillclimbing method with a hybrid method combining hill-climbing and Latin-hyper-cube. These two methods are going to be tested operating the same data-set in order to get the comparison result for both methods. The result shows that the hybrid model has a better performance than hill-climbing. Based on the number of global optimum value occurrence, the hybrid model outperformed 7.6% better than hill-climbing, and produced more stable average global optimum value. However, the model has a little longer running time due to a genuine characteristic of the model itself.

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Consensus of Hybrid Multi-Agent Systems With Malicious Nodes

Cited by 58 publications

References 22 publications

Admissible Hybrid Z-Contractions in b-Metric Spaces

Admissible Hybrid Z-Contractions in b-Metric Spaces

A Residential Load Scheduling with the Integration of On-Site PV and Energy Storage Systems in Micro-Grid

Hybrid Latin-Hyper-Cube-Hill-Climbing Method for Optimizing: Experimental Testing

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