Systems theoretic properties of linear RLC circuits. Issue 9 (2021)

• Record Type: Journal Article
• Authors: Reis, Timo; Glazov, Fedor
• Is Part Of: IFAC-PapersOnLine. Volume 54:Issue 9(2021)
• Page Start: 38
• Page End: 45
• Publication Date: 2021
• Subjects: electrical circuits -- stabilizability -- system space -- consistent initial values -- controllability at infinity -- impulse controllability; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2021.06.061
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: We consider the differential-algebraic systems obtained by modified nodal analysis of linear RLC circuits from a systems theoretic viewpoint. We derive expressions for the set of consistent initial values and show that the properties of controllability at infinity and impulse controllability do not depend on parameter values but rather on the interconnection structure of the circuit. We further present circuit topological criteria for behavioral stabilizability.