Results 41 to 50 of about 669 (121)
Stability investigation of quadratic systems with delay
International Journal of Stochastic Analysis, Volume 13, Issue 1, Page 85-92, 2000., 2000 Systems of differential equations with quadratic right‐hand sides with delay are considered in the paper. Compact matrix notation form is proposed for the systems of such type. Stability investigations are performed by Lyapunov′s second method with functions of quadratic form.
Vladimir Davydov, Denis Khusainov
wiley +1 more source
Global stability of a distributed delayed viral model with general incidence rate
Open Mathematics, 2018 In this paper, we discussed a infinitely distributed delayed viral infection model with nonlinear immune response and general incidence rate. We proved the existence and uniqueness of the equilibria.
Ávila-Vales Eric +2 more
doaj +1 more source
Delayed Feedback Control near Hopf Bifurcation
, 2007 The stability of functional differential equations under delayed feedback is investigated near a Hopf bifurcation. Necessary and sufficient conditions are derived for the stability of the equilibrium solution using averaging theory.
Atay, F.M. +2 more
core +3 more sources
Characteristic matrices for linear periodic delay differential equations [PDF]
, 2011 Szalai et al. (SIAM J. on Sci. Comp. 28(4), 2006) gave a general construction for characteristic matrices for systems of linear delay-differential equations with periodic coefficients.
Chow S. N., Jan Sieber, Robert Szalai
core +3 more sources
Stabilization of Lur’e-type nonlinear control systems by Lyapunov-Krasovskii functionals
, 2012 The paper deals with the stabilization problem of Lur’e-type nonlinear indirect control systems with time-delay argument. The sufficient conditions for absolute stability of the control system are established in the form of matrix algebraic inequalities ...
A. Shatyrko +3 more
semanticscholar +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 255-259, 1998., 1996 Based on our preceding paper, this note is concerned with the exponential stability of the solution semigroup for the abstract linear autonomous functional differential equation where L is a continuous linear operator on some abstract phase space B into a Banach space E. We prove that the solution semigroup of (∗) is exponentially stable if and only if
Jin Liang, Falun Huang, Tijun Xiao
wiley +1 more source
Uniform practical stability in terms of two measures with effect of delay at the time of impulses
Nonlinear Engineering, 2016 In this paper, some sufficient conditions for uniform practical stability of impulsive functional differential equations in terms of two measures with effect of delay at the time of impulses are obtained by using piecewise continuous Lyapunov functions ...
Singh Palwinder +2 more
doaj +1 more source
Asymptotic constancy of solutions of systems of difference equations
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 501-506, 1996., 1994 Assuming only conditional summability we study the convergence of the solutions of difference systems.
Rigoberto Medina, Manuel Pinto
wiley +1 more source
Stability implications of delay distribution for first-order and second-order systems [PDF]
, 2009 Kiss, G., & Krauskopf, B. (2009). Stability implications of delay distribution for first-order and second-order systems.
Kiss, G, Krauskopf, B
core +2 more sources
Global Attractivity of a Circadian Pacemaker Model in a Periodic Environment [PDF]
, 2005 In this paper, we propose a delay differential equation with continuous periodic parameters to model the circadian pacemaker in a periodic environment. First, we show the existence of a positive periodic solution by using the theory of coincidence degree.
Chen, Yuming, Wang, Lin
core +2 more sources