The stability cone for a delay differential matrix equation
Copyright policy )The stability cone for a delay differential matrix equation
AbstractWe describe a surface in R3 which is called the stability cone. We prove necessary and sufficient stability conditions for the delay differential matrix equation ẋ+Ax+Bx(t−τ)=0. These conditions are formulated in terms of the location with respect to the stability cone of some points determined by the eigenvalues of matrices A,B and the delay value. We require that matrices A,B admit a simultaneous triangularization.
- Perm State University Russian Federation
- South Ural State University Russian Federation
- South Ural State University (Южно-Уральский государственный университет) Russian Federation
- Chelyabinsk State University Russian Federation
- Chelyabinsk State Pedagogical University Russian Federation
Eigenvalues and eigenfunctions, Delay equation, Applied Mathematics, Simultaneous triangularization, Delay values, Eigenvalues, Delay equations, Stability cone, 510, Differential matrix equation, Necessary and sufficient stability conditions, Stability
Eigenvalues and eigenfunctions, Delay equation, Applied Mathematics, Simultaneous triangularization, Delay values, Eigenvalues, Delay equations, Stability cone, 510, Differential matrix equation, Necessary and sufficient stability conditions, Stability
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).16 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!