English

Qualitative properties for the 1-D Impulsive Wave Equation: Controllability and Observability

Optimization and Control 2021-06-08 v1 Dynamical Systems

Abstract

In this paper, we establish some important results for the impulsive wave equation. We begin by proving the existence of a solution. Then, we study the impulse approximate controllability where the control function acts on a subdomain ω\omega and at one instant of time τ(0,T)\tau \in (0, T). Afterward, we study impulse observability

Keywords

Cite

@article{arxiv.2106.02868,
  title  = {Qualitative properties for the 1-D Impulsive Wave Equation: Controllability and Observability},
  author = {Walid Zouhair and Akram Ben Aissa},
  journal= {arXiv preprint arXiv:2106.02868},
  year   = {2021}
}

Comments

12 pages, 3 figures

R2 v1 2026-06-24T02:51:58.987Z