A pair of matrices sharing common Lyapunov solutions--A closer look
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Publication:1863523
DOI10.1016/S0024-3795(02)00443-3zbMath1016.15011OpenAlexW2008354637MaRDI QIDQ1863523
Publication date: 11 March 2003
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0024-3795(02)00443-3
Hermitian matrixconvex invertible conesLyapunov matrix inclusionconvex sets of matrices with regular inertia
Lyapunov and storage functions (93D30) Matrix equations and identities (15A24) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Convex sets and cones of operators (47L07)
Related Items (11)
On the stability of a convex set of matrices ⋮ A Hill-Pick matrix criterion for the Lyapunov order ⋮ Common solution to the Lyapunov equation for \(2 \times 2\) complex matrices ⋮ On the Kalman-Yacubovich-Popov Lemma and common Lyapunov solutions for matrices with regular inertia ⋮ SPR based design conditions for quadratic stability of multi-mode switched linear systems ⋮ Convex invertible sets and matrix sign function ⋮ Some results on quadratic stability of switched systems with interval uncertainty ⋮ Convex invertible cones and positive real analytic functions ⋮ The Lyapunov order for real matrices ⋮ Common Lyapunov solutions for two matrices whose difference has rank one ⋮ Singularity conditions for the non-existence of a common quadratic Lyapunov function for pairs of third order linear time invariant dynamic systems
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