Open AccessBolh-Perron Theorem for Differential Algebraic Equations
Author(s) -
Nguyễn Thu Hà
Publication year - 2018
Publication title -
tạp chí khoa học đại học quốc gia hà nội: toán - lý (vnu journal of science: mathematics - physics)
Language(s) - English
Resource type - Journals
eISSN - 2615-9341
pISSN - 2588-1124
DOI - 10.25073/2588-1124/vnumap.4288
Subject(s) - bounded function , mathematics , algebraic number , differential equation , pure mathematics , discrete mathematics , mathematical analysis
. This paper is concerned with the Bolh-Perron theorem for differential algebraic equations. We prove that the system E(t)x'(t)=B(t)x(t), t > t0 is exponentially stable if and only if for any bounded input q, the equation
E(t)x'(t)=B(t)x(t)+q(t), t > t0 has a bounded solution.