Convex invertible cones and the Lyapunov equation
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Publication:5961580
DOI10.1016/0024-3795(95)00424-6zbMath0871.15012OpenAlexW2059184027MaRDI QIDQ5961580
Publication date: 28 September 1997
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(95)00424-6
Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Algebraic systems of matrices (15A30)
Related Items (28)
On the 45° -Region and the uniform asymptotic stability of classes of second order parameter-varying and switched systems ⋮ On the stability of a convex set of matrices ⋮ A unifying framework for the SISO circle criterion and other quadratic stability criteria ⋮ 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 ⋮ Convex invertible cones of state space systems. ⋮ Gleason's problem, rational functions and spaces of left-regular functions: the split-quaternion setting ⋮ Convex cones of generalized positive rational functions and the Nevanlinna-Pick interpolation ⋮ Exponential stability of triangular differential inclusion systems ⋮ On pseudo-spectral factorization over the complex numbers and quaternions ⋮ The distance to strong stability ⋮ The positive real lemma and construction of all realizations of generalized positive rational functions ⋮ Strong stability of internal system descriptions ⋮ On LTI output strictly negative-imaginary systems ⋮ Non-overshooting stabilisation via state and output feedback ⋮ Convex invertible sets and matrix sign function ⋮ Inverse closed ray-nonsingular cones of matrices ⋮ Some properties of Lyapunov function sets ⋮ Convex invertible cones and positive real analytic functions ⋮ The Lyapunov order for real matrices ⋮ The convex invertible cone structure of positive real odd rational matrix functions ⋮ Common Lyapunov solutions for two matrices whose difference has rank one ⋮ Convex invertible cones of matrices -- a unified framework for the equations of Sylvester, Lyapunov and Riccati ⋮ A characterization of convex cones of matrices with constant regular inertia ⋮ On cones and stability ⋮ A pair of matrices sharing common Lyapunov solutions--A closer look ⋮ Singularity conditions for the non-existence of a common quadratic Lyapunov function for pairs of third order linear time invariant dynamic systems
Cites Work
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