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Multirate digital decentralized control design is presented for linear time-invariant systems with interaction between subsystems.
Such systems with interaction between the continuous and discrete system dynamics are classified as Hybrid Systems.
We also study diffusion-reaction systems with known asymptotic behavior and find that, for large systems with interaction radii smaller than the typical diffusion length, boundary conflicts are negligible and do not affect the global kinetic evolution, which is seen to agree with the expected analytical behavior.
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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.
So far there is still no result available for backstepping based decentralized adaptive stabilization of unknown systems with interactions directly depending on subsystem inputs, even though such interactions commonly exist in practice.
This method can be generalized to more complicated systems with interactions.
Each of these individual cases exists within larger systems with interactions between cases and is influenced beyond both the boundaries of the single case and the network boundaries.
This note is devoted to stabilizing a coupled PDE ODE system with interaction at the interface.
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 resulting closed-loop system with interaction between subsystems being eliminated delivers the same desired closed-loop responses each subsystem produces, that can be expected in the design stage.
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