An intrinsic algebraic setting for poles and zeros of linear time-varying systems

DOI10.1016/j.sysconle.2008.10.013zbMath1159.93015OpenAlexW2013502845MaRDI QIDQ1015760

Bogdan Marinescu, Henri Bourlès

Publication date: 30 April 2009

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2008.10.013

zbMATH Keywords

linear time-varying systemszerospolesGalois/Picard-Vessiot extensionsindependent roots of a polynomialindependent solutions of differential equations

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Pole and zero placement problems (93B55) Robust stability (93D09)

Related Items (5)

Two invariants for weak exponential stability of linear time-varying differential behaviors ⋮ Quasi-poles of linear time-varying systems in an intrinsic algebraic approach ⋮ Weak exponential stability of linear time-varying differential behaviors ⋮ Output feedback pole placement for linear time-varying systems with application to the control of nonlinear systems ⋮ Flatness-based active disturbance rejection control for linear systems with unknown time-varying coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some basic structural properties of generalized linear systems
• The poles and zeros of a linear time-varying system
• Vandermonde and Wronskian matrices over division rings
• Wedderburn polynomials over division rings. I.
• An algebraic framework generalizing the concept of transfer functions to nonlinear systems
• Kähler differentials and differential algebra
• Missile Autopilot Design Using a New Linear Time-Varying Control Technique
• An algebraic analysis approach to linear time-varying systems
• NONCOMMUTATIVE SYMMETRIC FUNCTIONS AND W-POLYNOMIALS
• Wedderburn polynomials over division rings, II
• Finite poles and zeros of linear systems: An intrinsic approach
• Poles and zeros at infinity of linear time-varying systems
• On the poles and zeros of linear, time-varying systems
• 6 Structural Properties of Discrete and Continuous Linear Time-Varying Systems: A Unified Approach
• Mathematical Description of Linear Dynamical Systems

This page was built for publication: An intrinsic algebraic setting for poles and zeros of linear time-varying systems