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- W3045917288 abstract "This paper provides novel Input-to-State Stability (ISS)-style maximum principle estimates for classical solutions of highly nonlinear 1-D parabolic Partial Differential Equations (PDEs). The derivation of the ISS-style maximum principle estimates is performed by using an ISS Lyapunov Functional for the sup norm. The estimates provide fading memory ISS estimates in the sup norm of the state with respect to distributed and boundary inputs. The obtained results can handle parabolic PDEs with nonlinear and non-local in-domain terms/boundary conditions. Three illustrative examples show the efficiency of the proposed methodology for the derivation of ISS estimates in the sup norm of the state." @default.
- W3045917288 created "2020-08-03" @default.
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- W3045917288 date "2020-07-30" @default.
- W3045917288 modified "2023-09-23" @default.
- W3045917288 title "ISS Estimates in the Spatial Sup-Norm for Nonlinear 1-D Parabolic PDEs" @default.
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