Normal form for linear systems with respect to its vector relative degree

DOI10.1016/j.laa.2008.10.014zbMath1154.93009OpenAlexW2119199991MaRDI QIDQ999807

J. Martínez

Publication date: 10 February 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.10.014

zbMATH Keywords

linear systemsnormal formMIMO-systemsvector relative degree

Mathematics Subject Classification ID

Feedback control (93B52) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Linear systems in control theory (93C05) Canonical structure (93B10)

Related Items (10)

Cooperative robust output regulation of linear uncertain multiple multivariable systems with performance constraint ⋮ On the relative degree and normal forms of linear systems by output transformation with applications to tracking ⋮ Transformation of hyperoutput systems to a form with relative degree ⋮ Vector Relative Degree and Funnel Control for Differential-Algebraic Systems ⋮ Simultaneous transformation of systems to a form with relative degree ⋮ Synchronization of Lur'e-type nonlinear systems in linear dynamical networks having fast convergence rate and large DC gain ⋮ Active fault-tolerant control system design with trajectory re-planning against actuator faults and saturation: Application to a quadrotor unmanned aerial vehicle ⋮ Zero dynamics and funnel control of general linear differential-algebraic systems ⋮ Observation problem for MIMO-systems with unknown input under degenerate relative degree ⋮ Zero dynamics and stabilization for analytic linear systems

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• Time-Varying Linear Systems: Relative Degree and Normal Form
• Tracking with Prescribed Transient Behavior for Nonlinear Systems of Known Relative Degree

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