The generalized Cayley-Hamilton theorem for standard pencils

DOI10.1016/0167-6911(92)90003-BzbMath0743.15009OpenAlexW2082401996MaRDI QIDQ1184283

S. Singh

Publication date: 28 June 1992

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(92)90003-b

zbMATH Keywords

Cayley-Hamilton theoremsingular systemscharacteristic equationsWeierstrass formsstandard pencils

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Matrix pencils (15A22)

Related Items (10)

The generalized Ackermann's formula for singular systems ⋮ Matrix description of multivariable polynomials ⋮ A generalized Cayley-Hamilton theorem for polynomials with matrix coefficients ⋮ Numerical solution of singular Sylvester equations ⋮ Incremental reinforcement learning and optimal output regulation under unmeasurable disturbances ⋮ The reduced Cayley-Hamilton equation for a pair of commuting matrices ⋮ A generalized Cayley-Hamilton theorem ⋮ Generalized Cayley-Hamilton theorem for polynomial matrices with arbitrary degree ⋮ Stochastic generalized Kolmogorov systems with small diffusion. I: Explicit approximations for invariant probability density function ⋮ Cayley–Hamilton Theorem for Fractional Linear Systems

Cites Work

• A generalized state-space for singular systems
• Leverrier's algorithm for singular systems
• On the generalized Cayley-Hamilton theorem
• Further remarks on the Cayley-Hamilton theorem and Leverrier's method for the matrix pencil<tex>(sE - A)</tex>
• Boundary-value descriptor systems: well-posedness, reachability and observability
• Unnamed Item

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