General analytical forms for the solution of the Sylvester and Lyapunov equations for continuous and discrete dynamic systems

DOI10.1134/S1064230717010130zbMath1384.93120OpenAlexW2590778944MaRDI QIDQ1745740

Xianqiang Yang

Publication date: 18 April 2018

Published in: Journal of Computer and Systems Sciences International (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064230717010130

zbMATH Keywords

Jordan normal formdiscrete and continuous Lyapunov linear algebraic matrix equationsdiscrete and continuous Sylvester linear algebraic matrix equations

Mathematics Subject Classification ID

Controllability (93B05) Stabilization of systems by feedback (93D15) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Matrix equations and identities (15A24)

Related Items (3)

Spectral and modal methods for studying stability and control of electric power systems ⋮ On the solution of generalized Lyapunov equations for a class of continuous bilinear time-varying systems ⋮ Spectral decompositions for the solutions of Lyapunov equations for bilinear dynamical systems

Uses Software

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Cites Work

• A Hessenberg-Schur method for the problem AX + XB= C
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
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