Assessing the stability of linear time-invariant continuous interval dynamic systems

DOI10.1109/TAC.2005.843857zbMath1365.93369MaRDI QIDQ5274022

Simona Petrakieva, Lubomir V. Kolev

Publication date: 12 July 2017

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Mathematics Subject Classification ID

Robust stability (93D09) Stability of solutions to ordinary differential equations (34D20)

Related Items (15)

New sufficient conditions for robust stability analysis of interval matrices ⋮ Sufficient regularity conditions for complex interval matrices and approximations of eigenvalues sets ⋮ Novel estimations for the eigenvalue bounds of complex interval matrices ⋮ An algorithm to determine linear independence of a set of interval vectors ⋮ Invariance properties of interval dynamical systems ⋮ Determining the positive definiteness margin of interval matrices ⋮ Stability of matrix polytopes with a dominant vertex and implications for system dynamics ⋮ Diagonal stability of interval matrices and applications ⋮ Computation of bounds for eigenvalues of structures with interval parameters ⋮ Bases and dimension of interval vector space ⋮ Determining the range of real eigenvalues for the interval generalized eigenvalue problem ⋮ Eigenvalue range determination for interval and parametric matrices ⋮ On robust interval observer design for uncertain systems subject to both time-invariant and time-varying uncertainties ⋮ Matrix measures in the qualitative analysis of parametric uncertain systems ⋮ Outer interval solution of the eigenvalue problem under general form parametric dependencies

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