Quadratic repulsiveness for LTI systems: Definition, analysis and design
Year: 2025
Type: article
Abstract: This paper introduces and describes the notion of quadratic repulsiveness for linear time-invariant systems. Such novel concept arises from the goal of escaping from an undesirable region of the state space represented by the super level sets of an indefinite quadratic function. The analysis of the special eigenstructure of a system attaining quadratic repulsiveness is carried out first, revealing a number of interesting properties. Design algorithms based on LMIs are proposed for the synthesis of controllers enabling for the simultaneous stabilization and repulsiveness of the closed-loop system. The theoretical results in this paper are illustrated through examples that show the main features of quadratic repulsiveness.
Source: European Journal of Control
Authors: Damiano Rotondo, Andrea Cristofaro
Institutions: University of Stavanger, Sapienza University of Rome
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,850
OpenAlex ID: W6959271728