Convex invertible cones of state space systems.

DOI10.1007/BF01211507zbMath1035.93014OpenAlexW1966161771MaRDI QIDQ1377588

Nir Cohen, Izchak Lewkowicz

Publication date: 1997

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01211507

Mathematics Subject Classification ID

Minimal systems representations (93B20) System structure simplification (93B11) Realizations from input-output data (93B15)

Related Items (17)

Passive linear continuous-time systems: characterization through structure ⋮ A Hill-Pick matrix criterion for the Lyapunov order ⋮ Common solution to the Lyapunov equation for \(2 \times 2\) complex matrices ⋮ Convex invertible cones of state space systems. ⋮ An easy-to-compute factorization of rational generalized positive functions ⋮ Convex cones of generalized positive rational functions and the Nevanlinna-Pick interpolation ⋮ On pseudo-spectral factorization over the complex numbers and quaternions ⋮ The positive real lemma and construction of all realizations of generalized positive rational functions ⋮ Inverse closed ray-nonsingular cones of matrices ⋮ Passive linear discrete-time systems: characterization through structure ⋮ Convex invertible cones and the Lyapunov equation ⋮ 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 ⋮ 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 ⋮ A pair of matrices sharing common Lyapunov solutions--A closer look

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