A test for stability of linear differential delay equations
نویسندگان
چکیده
منابع مشابه
A Test for Stability of Linear Differential Delay Equations*
The changes in the stability of a system of linear differential delay equations resulting from the delay are studied by analyzing the associated eigenvalues of the characteristic equation. A specific contour is mapped by the characteristic equation into the complex plane to give an easy test for stability from an application of the argument principle. When the real part of an eigenvalue is posi...
متن کاملOn the stability of linear differential equations of second order
The aim of this paper is to investigate the Hyers-Ulam stability of the linear differential equation$$y''(x)+alpha y'(x)+beta y(x)=f(x)$$in general case, where $yin C^2[a,b],$ $fin C[a,b]$ and $-infty
متن کاملNumerical Stability Test of Neutral Delay Differential Equations
The stability of a delay differential equation can be investigated on the basis of the root location of the characteristic function. Though a number of stability criteria are available, they usually do not provide any information about the characteristic root with maximal real part, which is useful in justifying the stability and in understanding the system performances. Because the characteris...
متن کاملExponential Stability of Linear Delay Impulsive Differential Equations
Corresponding author: Elena Braverman Technion Israel Institute of Technology, Department of Mathematics, 32000, Haifa, Israel e-mail : [email protected] Abstract For an impulsive delay differential equation with bounded delay and bounded coefficients the following result is established. If each solution is bounded on [0,∞) together with its derivative for each bounded right-hand side t...
متن کاملOn stability of some linear and nonlinear delay differential equations
New explicit conditions of exponential stability are obtained for the nonautonomous equation with several delays ẏ(t)+ l ∑ k=1 ak(t)y ( hk(t) ) = 0 by the following method: several delays in the left-hand side are chosen and the solution is estimated using an auxiliary ordinary differential equation ẏ(t)+ ∑ k∈I ak(t)y(t)= 0, where I ∈ {1,2, . . . , l} is the chosen set of indices. These results...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1982
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/666674