Localization of spectrum and stability of certain classes of dynamical systems

DOI10.1007/BF02383867zbMath0941.34071MaRDI QIDQ1962381

A. G. Mazko

Publication date: 9 April 2000

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

stabilitydynamical systemsspectrummatrix functionslinear matrix equations and inequalitiesmultiparameter matrix pencils

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20) Eigenvalues, singular values, and eigenvectors (15A18) Linear ordinary differential equations and systems (34A30) Linear functional-differential equations (34K06) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Matrix pencils (15A22)

Related Items (1)

Canonical Frobenius form of matrices of a mechanical analog of dynamical systems of even order

Cites Work

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• Stability with probability 1 of solutions of systems of linear stochastic differential-difference Itô equations
• Control of singular linear dynamic systems
• A method of construction of Lyapunov-Krasovskii functionals for linear systems with deviating argument
• Root-Clustering Criteria (II): Linear Matrix Equations
• Construction of analogs of the Lyapunov equation for a matrix polynomial

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