Exact Controllability of linear KP-I equation
Chenmin Sun
TL;DR
This paper establishes the exact controllability of the linear KP-I equation with control inputs on a vertical domain and determines the minimal dispersion required for observability in fractional cases.
Contribution
It provides the first proof of exact controllability for the linear KP-I equation and identifies the least dispersion needed for fractional versions.
Findings
Exact controllability achieved for linear KP-I with vertical control
Minimal dispersion threshold identified for fractional KP-I
Method applicable to observability analysis in fractional PDEs
Abstract
We prove the exact controllability of linear KP-I equation if the control input is added on a vertical domain. More generally, we have obtained the least dispersion needed to insure observability for fractional linear KP I equation.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Physics Problems · Stability and Controllability of Differential Equations · Nonlinear Photonic Systems