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On the relation of delay equations to first-order hyperbolic partial differential equations

Iasson KarafyllisMiroslav Krstic — 2014

ESAIM: Control, Optimisation and Calculus of Variations

This paper establishes the equivalence between systems described by a single first-order hyperbolic partial differential equation and systems described by integral delay equations. System-theoretic results are provided for both classes of systems (among them converse Lyapunov results). The proposed framework can allow the study of discontinuous solutions for nonlinear systems described by a single first-order hyperbolic partial differential equation under the effect of measurable inputs acting on...

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