Stability of matrix polynomials†

DOI10.1080/00207177708922306zbMath0364.93025OpenAlexW2111751729MaRDI QIDQ4141050

Bitmead, Robert R., Brian D. O. Anderson

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1080/00207177708922306

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Algebraic systems of matrices (15A30)

Related Items (13)

On the uniqueness of the minimal solution to the matrix polynomial equation \(A(\lambda)X(\lambda)+Y(\lambda)B(\lambda)=C(\lambda)\) ⋮ Novel versions of \(D\)-stability in matrices provide new insights into ODE dynamics ⋮ On generalization of classical Hurwitz stability criteria for matrix polynomials ⋮ Lyapunov method for stability of descriptor second-order and high-order systems ⋮ Identifiability of linear stochastic systems operating under linear feedback ⋮ Stability of interval matrix polynomial in continuous and discrete cases ⋮ Robust frequency-shaped LQ control ⋮ On robustness to noise of least squares based adaptive control ⋮ Second-order convergent algorithms for the steady-state Riccati equation† ⋮ Stability criteria of matrix polynomials ⋮ Algorithms for solvents and spectral factors of matrix polynomials ⋮ Transformations of solvents and spectral factors of matrix polynomials, and their applications† ⋮ Block partial fraction expansion of a rational matrix

Cites Work

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• Linear multivariable systems
• A view of three decades of linear filtering theory
• On the inversion of matrix Routh array
• Generalized Bezoutian and Sylvester matrices in multivariable linear control
• Resultants of matrix polynomials

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