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Industrial processes such as long-wall coal cutting and me-tal rolling, together with certain areas of 2D signal andimage processing, exhibit a repetitive, or multipass struc-ture characterized by a series of sweeps of passes through aknown set of dynamics.
These include further applications of the abstract model based stability theory which, in particular, shows the critical importance to the dynamics developed of the structure of the initial conditions at the start of each new pass, the development of stability tests and performance bounds in terms of so-called 1D and 2D Lyapunov equations.
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