Extends PIE representation inductively to multivariate PDEs via domain intersections, proves consistency condition for operator inverse, and enables SDP-based stability analysis with PIETOOLS software.
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2 Pith papers cite this work. Polarity classification is still indexing.
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An optimization problem selects a boundary control input from the intersection of Lyapunov-stabilizing and barrier-invariant sets for LWR traffic models to achieve both goals simultaneously.
citing papers explorer
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A State-Space Representation of Coupled Linear Multivariate PDEs and Stability Analysis using SDP
Extends PIE representation inductively to multivariate PDEs via domain intersections, proves consistency condition for operator inverse, and enables SDP-based stability analysis with PIETOOLS software.
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Optimization-based One-side Boundary Control of LWR Traffic Models
An optimization problem selects a boundary control input from the intersection of Lyapunov-stabilizing and barrier-invariant sets for LWR traffic models to achieve both goals simultaneously.