Stability, stabilizability and exact controllability of a class of linear neutral type systems
Rabah Rabah (IRCCyN), Grigory M. Sklyar
TL;DR
This paper investigates the stability, stabilizability, and controllability of linear neutral type systems using an infinite dimensional framework, focusing on asymptotic behaviors and control properties.
Contribution
It introduces a novel approach combining the moment problem, Riesz basis of invariant subspaces, and exponential families to analyze these systems.
Findings
Characterization of asymptotic stability conditions
Conditions for exact controllability of neutral systems
Development of a framework for stabilizability analysis
Abstract
Linear systems of neutral type are considered using the infinite dimensional approach. The main problems are asymptotic, non-exponential stability, exact controllability and regular asymptotic stabilizability. The main tools are the moment problem approach, the Riesz basis of invariant subspaces and the Riesz basis of family of exponentials.
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Taxonomy
TopicsMathematical Control Systems and Analysis · Stability and Control of Uncertain Systems · Aerospace Engineering and Control Systems