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This note is devoted to stabilizing a coupled PDE ODE system with interaction at the interface.
In the presented figure, the solid black transition curves correspond to the deterministic system with interaction constant J=145 K, described by the Hamiltonian (2).
It is proved that the presented protocol can achieve fixed-time average consensus for multi-agent system with interaction topology modeled as undirected and directed graph.
The main reason is that Ni species can be well dispersed on HZSM-5 by impregnation, and close relationship can be established between them after calcination, leading to the formation of compound system with interaction.
Although both Ni species and HZSM-5 exist in the system at the same time in mixing-bed and separating-bed, the closely related compound system with interaction is not formed, leading to a poor aromatization performance.
Uniformly dispersed Ni species can contact with HZSM-5 closely as the scheme shown in Fig. 3, it is very easy for them to form a compound system with interaction.
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Swarm robotics is an example of a complex system with interactions among distributed autonomous robots as well with the environment.
Such systems with interaction between the continuous and discrete system dynamics are classified as Hybrid Systems.
Multirate digital decentralized control design is presented for linear time-invariant systems with interaction between subsystems.
In systems with interactions this model starts to underestimate the persistence on decreasing temperature.
Heat exchanger networks are complex systems with interactions between various components.
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Justyna Jupowicz-Kozak
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