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• W2968850611 abstract "We provide a thorough study of stability of the 1-D continuity equation, which models many physical conservation laws. In our system-theoretic perspective, the velocity is considered to be an input. An additional input appears in the boundary condition (boundary disturbance). Stability estimates are provided in all Lp state norms with p>1, as well as in the sup norm. However, in our Input-to-State Stability estimates, the gain and overshoot coefficients depend on the velocity. Moreover, the logarithmic norm of the state appears instead of the usual norm. The obtained results can be used in the stability analysis of larger models that contain the continuity equation. In particular, it is shown that the obtained results can be used in a straightforward way for the stability analysis of non-local, nonlinear manufacturing models under feedback control." @default.
• W2968850611 created "2019-08-22" @default.
• W2968850611 creator A5018293076 @default.
• W2968850611 creator A5021934149 @default.
• W2968850611 date "2019-08-16" @default.
• W2968850611 modified "2023-09-27" @default.
• W2968850611 title "Stability Results for the Continuity Equation" @default.
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• W2968850611 hasPublicationYear "2019" @default.
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