Solution of the equation A(z)X(z) + X(z)B(z) = C(z) and its application to the stability of generalized linear systems†

DOI10.1080/00207178408933332zbMath0546.93061OpenAlexW2110491350MaRDI QIDQ3338060

Stephen Brierley, E. Bruce Lee

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/00207178408933332

zbMATH Keywords

time-delay systemsgeneralized linear systems

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Matrix equations and identities (15A24) Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20)

Related Items (4)

About the uniqueness solution of the matrix polynomial equation \(A(\lambda)X(\lambda)-Y(\lambda)B(\lambda)=C(\lambda)\) ⋮ Schur-decomposition for 3D matrix equations and its application in solving radiative discrete ordinates equations discretized by Chebyshev collocation spectral method ⋮ On solutions of generalized Sylvester equation in polynomial matrices ⋮ On the low-degree solution of the Sylvester matrix polynomial equation

Cites Work

• Matrix and other direct methods for the solution of systems of linear difference equations
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