[PDF] Top 20 Some improved criteria on exponential stability of neutral differential equation

... the exponential stability of equation ...sufficient criteria ensuring the global exponential stability for equation () are given in terms of linear matrix inequalities ... See full document

... dependent exponential stability criteria for certain nonlinear neutral differential equation with discrete and distributed time- varying ...zero equation with guarantee ... See full document

... ensure stability of the NDE [–]. The asymptotic stability of the NDE with constant delays () has been discussed in [, , –], while the exponential sta- bility has been studied in [, , , ... See full document

... new criteria based on new methods with mixed model transfor- mation ...of exponential stability criteria for CNDE with discrete and distributed time-varying ...zero equation, and a new ... See full document

... tial stability analysis for certain neutral differential equation with discrete and distributed time-varying delays are ...zero equation, improved integral inequalities and ... See full document

... of stability by means of the Lyapunov ’ s direct method can be solved by means of the fixed point ...asymptotic stability of the non- linear impulsive stochastic differential equations and the ... See full document

... and stability of solutions of stochastic partial differential equations have been considered by many authors ...The stability of strong solutions of stochas- tic differential equations also have been ... See full document

... The exponential stability of trivial solution and the numerical solution for neutral stochastic func- tional differential equations (NSFDEs) with jumps is ...The stability includes the almost ... See full document

... dt [x + px(t − τ(t))] = −ax + b tan hx(t − σ(t)). (1.1) Using Lyapunov functionals, the authors established some sufficient conditions for the (GES) of solutions of (NDE) (1.1). By this work, the authors [10] ... See full document

... 2, some necessary definitions, notations, and lemmas used in this paper will be ...lemma, some sufficient conditions about the exponential stability in p p ≥ 2- moment and almost sure ... See full document

... tial stability in the pth moment of mild solutions to neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian ... See full document

... independent criteria of stability for some classes of delay neutral systems are developed in 10 ...The stability of systems ...the stability of neutral equations, see 9, ... See full document

... with neutral functional differential equations that include neutral delay differential equations ...called neutral-type systems or neutral ...deterministic neutral systems ... See full document

... In some physical system, the system models can be described by functional differential equation of neutral type, which the models depend on the state delay but also depend on the state ... See full document

... of neutral stochastic functional differential equations excluding neutral stochastic differential delay equations, but the results obtained in this paper are much more general, and they ... See full document

... with neutral func- tional differential equations that include neutral delay differen- tial ...called neutral-type systems or neutral ...deterministic neutral systems have been of ... See full document

... and neutral FDEs are four main types of functional differential ...and neutral FDEs have more ap- plications in real world ...and neutral delay differential equations (NDDEs) ...and neutral ... See full document

... develop exponential stability criteria by the methods of Lyapunov functions and M-matrices for a class hybrid neutral pantograph stochastic differential ...offers some necessary ... See full document

... It should be mentioned that similar techniques and ideas were used earlier by the par- ticipants of the Perm Seminar on Functional Differential Equations (Perm, Russia). For details, see [1, 5] and the references therein. ... See full document

... Via Lyapunov functionals and basic inequalities, sufficient conditions are given for the exponential stability (ES) and instability (I) of the trivial solution of the former (VIDE). We introduce two new ... See full document