Tracking-control for age-structured population dynamics with self-competition governed by integro-PDEs (Q2065193)
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scientific article; zbMATH DE number 7453511
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tracking-control for age-structured population dynamics with self-competition governed by integro-PDEs |
scientific article; zbMATH DE number 7453511 |
Statements
Tracking-control for age-structured population dynamics with self-competition governed by integro-PDEs (English)
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7 January 2022
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In this paper a nonlinear, hyperbolic, first-order integro-partial differential equation with integral boundary condition is considered. Through a generalized spectral analysis a nonlinear mapping is defined, which decomposes the integro-partial differential equation into an ordinary differential equation and an integro-differential equation. In particular, a nonlinear input/output-normal form of the integro-partial differential equation can be stated which is used to design an inversion-based feedforward control. To compensate the influence of the integro-differential equation on the output a feedback controller is designed. Global exponential attractivity of certain reference trajectories is proven and the closed-loop dynamics are simulated.
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distributed parameter systems
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biocybernetics
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partial differential equations
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exponentially stable
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