Singular systems, state feedback problem

DOI10.1016/j.laa.2009.04.024zbMath1170.93016OpenAlexW2076911229MaRDI QIDQ837007

Marija Dodig, Marko Stošić

Publication date: 10 September 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.2009.04.024

zbMATH Keywords

state feedbackpole placementcompletionsingular systemsmatrix pencilsKronecker invariants

Mathematics Subject Classification ID

Feedback control (93B52) Pole and zero placement problems (93B55) Control/observation systems governed by ordinary differential equations (93C15) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (18)

Pole placement problem for singular systems ⋮ Perfect nonlinear observers of fractional descriptor continuous-time nonlinear systems ⋮ Reduced-order fractional descriptor observers for a class of fractional descriptor continuous-time nonlinear systems ⋮ Fractional descriptor continuous-time linear systems described by the Caputo-Fabrizio derivative ⋮ Solutions of fractional order electrical circuits via Laplace transform and nonstandard finite difference method ⋮ Descriptor Fractional Linear Systems with Regular Pencils ⋮ Reduced-order perfect nonlinear observers of fractional descriptor discrete-time nonlinear systems ⋮ Minimum energy control of descriptor fractional discrete-time linear systems with two different fractional orders ⋮ Decentralized Stabilization of Fractional Positive Descriptor Discrete-Time Linear Systems ⋮ Minimal positive realizations of linear continuous-time fractional descriptor systems: two cases of an input-output digraph structure ⋮ Decentralized stabilization of fractional positive descriptor continuous-time linear systems ⋮ Analysis of the fractional descriptor discrete-time linear systems by the use of the shuffle algorithm ⋮ Analysis of the descriptor Roesser model with the use of the Drazin inverse ⋮ Descriptor standard and positive discrete-time nonlinear systems ⋮ Minimum energy control of descriptor discrete-time linear systems by the use of Weierstrass-Kronecker decomposition ⋮ Eigenvalue assignment in fractional descriptor discrete-time linear systems ⋮ Descriptor Systems Under Feedback and Output Injection ⋮ Descriptor fractional linear systems with regular pencils

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On convexity of polynomial paths and generalized majorizations
• Matrices with prescribed rows and invariant factors
• A direct algorithm for pole assignment of time-invariant multi-input linear systems using state feedback
• Fundamental theorem of state feedback for singular systems
• Interlacing inequalities for regular pencils
• Interlacing inequalities for invariant factors
• Imbedding conditions for \(\lambda\)-matrices
• On the characteristic polynomial of matrices with prescribed rows
• Matrix pencils completion problems
• Feedback invariants of matrices with prescribed rows
• Pole placement problem for singular systems
• Deflation in eigenvalue assignment of descriptor systems using state feedback
• A new proof of Rosenbrock's theorem on pole assignment
• A general framework for state feedback pole assignment of singular systems
• Matrix pencil of closed-loop descriptor systems: infinite-eigenvalue assignment
• On the fundamental theorem of linear state variable feedback
• On pole structure assignment in linear systems
• Infinite eigenvalue assignment for singular systems

This page was built for publication: Singular systems, state feedback problem