Invariant cones and stability of linear dynamical systems

• Дата: 2006
• Автори: Aliluiko, A. M., Mazko, A. G., Алілуйко, А. М., Мазко, О. Г.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2006
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3546
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We present a method for the investigation of the stability and positivity of systems of linear differential equations of arbitrary order. Conditions for the invariance of classes of cones of circular and ellipsoidal types are established. We propose algebraic conditions for the exponential stability...