English

Exact observability and controllability for linear neutral type systems

Optimization and Control 2015-12-29 v2 Dynamical Systems

Abstract

The problem of exact observability is analyzed for a wide class of neutral type systems by an infinite dimensional approach. The duality with the exact controllabil-ity problem is the main tool. It is based on an explicit expression of a neutral type system which corresponding to the abstract adjoint system. A nontrivial relation is obtained between the initial neutral system and the system obtained via the adjoint abstract state operator. The characterization of the duality between controllability and observability is deduced, and then observability conditions are obtained.

Keywords

Cite

@article{arxiv.1510.06552,
  title  = {Exact observability and controllability for linear neutral type systems},
  author = {Rabah Rabah and Grigory Sklyar},
  journal= {arXiv preprint arXiv:1510.06552},
  year   = {2015}
}

Comments

Accepted in Systems and Control Letters

R2 v1 2026-06-22T11:26:25.085Z