Controllability and nonsingular solutions of Sylvester equations

DOI10.13001/1081-3810.3106zbMath1352.93026OpenAlexW2558989097MaRDI QIDQ2953119

Hamid Maârouf

Publication date: 3 January 2017

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.13001/1081-3810.3106

zbMATH Keywords

controllability indicesstabilizabilitynilpotent matricesSylvester equationeigenstructure assignment

Mathematics Subject Classification ID

Controllability (93B05) Eigenvalue problems (93B60) Matrix equations and identities (15A24) Linear equations (linear algebraic aspects) (15A06)

Related Items (1)

Local Kalman rank condition for linear time varying systems

Cites Work

• The matrix equation \(XA-BX=R\) and its applications
• Controllability, observability and the solution of AX-XB=C
• Nonsingular solutions of TA-BT=C
• Generic properties and control of linear structured systems: A survey
• Partial eigenstructure assignment problem and its application to the constrained linear problem
• Regulator problem for linear discrete-time systems with non-symmetrical constrained control
• Regulator problem for linear continuous-time systems with nonsymmetrical constrained control
• The resolution of equation XA+XBX=HX and the pole assignment problem
• How and Why to Solve the Operator Equation AX −XB = Y
• Controllability indices for structured systems
• Unnamed Item

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