Structural decomposition of linear multivariable systems using symbolic computations

DOI10.1080/00207171003758760zbMath1200.93024OpenAlexW1546888989MaRDI QIDQ3161172

Håvard Fjær Grip, Ali Saberi

Publication date: 12 October 2010

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207171003758760

zbMATH Keywords

invertibilitysymbolic computationsinfinite zeroslinear systems theoryfinite zerosgeometry theory

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) System structure simplification (93B11)

Related Items (5)

Almost output synchronization for heterogeneous time-varying networks for a class of non-introspective, nonlinear agents without exchange of controller states ⋮ Solvability conditions and design for \(H_\infty\) \& \(H_2\) almost state synchronization of homogeneous multi-agent systems ⋮ Synchronization in networks of minimum-phase, non-introspective agents without exchange of controller states: homogeneous, heterogeneous, and nonlinear ⋮ High‐gain observer design for multi‐output systems: Transformation to a canonical form by dynamic output shaping ⋮ Homogeneous networks of non-introspective agents under external disturbances - \(H_\infty\) almost synchronization

Uses Software

• Maple

Cites Work

• Unnamed Item
• Zero dynamics of regularly perturbed systems may be singularly perturbed
• Linear systems toolkit in Matlab: structural decompositions and their applications
• Squaring down of non-strictly proper systems
• Special coordinate basis for order reduction of linear multivariable systems
• Special coordinate basis for multivariable linear systems—finite and infinite zero structure, squaring down and decoupling
• Poles and zeros of linear multivariable systems : a survey of the algebraic, geometric and complex-variable theory
• Observer design for loop transfer recovery and for uncertain dynamical systems
• Theory of LTR for non-minimum phase systems, recoverable target loops, and recovery in a subspace Part 1. Analysis
• On the numerical computation of a structural decomposition in systems and control
• Structural Invariants of Linear Multivariable Systems

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