Asymptotic stability

The problem of robust stability is investigated for a class of uncertain Hopfield-type neural networks with proportional delays. The existence and uniqueness of an equilibrium is first established using the homeomorphic mapping theorem. Then, by employing a modified Lyapunov–Krasovskii functional, a new criterion for the global asymptotic stability of an equilibrium point of the system is formulated.

12p viaburame 14-03-2025 2 1   Download

This paper deals with synchronization analysis problem for a class of fractional-order neural networks with unbounded delays. Using the Lyapunov function method combined with fractional Halanay inequality, we derive a novel sufficient condition for asymptotic stability of the error system resulting in two neural networks are synchronized.

9p viprimi 16-12-2024 4 1   Download

The objectives of this dissertation are to study the asymptotic behavior of solutions of these nonlocal problems via the existence of (its finite dimensional) global attractors, and the existence and exponential stability of stationary solutions.

112p thebadguys 08-06-2021 21 3   Download

The objectives of this dissertation are to study the asymptotic behavior of solutions of these nonlocal problems via existence of (its finite dimensional) global attractors, and the existence and exponential stability of stationary solutions.

25p thebadguys 08-06-2021 22 3   Download

ASYMPTOTIC ESTIMATES AND EXPONENTIAL STABILITY FOR HIGHER-ORDER MONOTONE DIFFERENCE EQUATIONS ´ EDUARDO LIZ AND MIHALY PITUK Received 21 May 2004 Asymptotic estimates are established for higher-order scalar difference equations and inequalities the right-hand sides of which generate a monotone system with respect to the discrete exponential ordering. It is shown that in some cases the exponential estimates can be replaced with a more precise limit relation.

15p sting12 10-03-2012 62 5   Download

ON THE RECURSIVE SEQUENCE E. CAMOUZIS, R. DEVAULT, AND G. PAPASCHINOPOULOS Received 12 January 2004 and in revised form 29 May 2004 Our aim in this paper is to investigate the boundedness, global asymptotic stability, and periodic character of solutions of the difference equation xn+1 = (γxn−1 + δxn−2 )/(xn + xn−2 ), n = 0,1,..., where the parameters γ and δ and the initial conditions are positive real numbers. 1.

10p sting12 10-03-2012 35 5   Download

GLOBAL ASYMPTOTIC STABILITY OF SOLUTIONS OF CUBIC STOCHASTIC DIFFERENCE EQUATIONS ALEXANDRA RODKINA AND HENRI SCHURZ Received 18 September 2003 and in revised form 22 December 2003 Global almost sure asymptotic stability of solutions of some nonlinear stochastic difference equations with cubic-type main part in their drift and diffusive part driven by square-integrable martingale differences is proven under appropriate conditions in R1 .

12p sting12 10-03-2012 52 5   Download

ATuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: SYMPTOTIC STABILITY FOR DYNAMIC EQUATIONS ON TIME SCALES

17p dauphong18 09-03-2012 44 5   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Existence and Asymptotic Stability of Solutions for Hyperbolic Differential Inclusions with a Source Term

13p dauphong18 09-03-2012 55 3   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Uniform Asymptotic Stability and Robust Stability for Positive Linear Volterra Difference Equations in Banach Lattices

15p sting10 29-02-2012 53 6   Download

Trong bài báo này, chúng tôi giới thiệu một khái niệm về số mũ trung tâm của phương trình vi phân đại số tuyến tính (DAEs) tương tự như một trong những phương trình vi phân tuyến tính thông thường (ODEs), và sử dụng nó để điều tra sự ổn định tiệm cận của DAEs.

15p phalinh21 01-09-2011 49 5   Download

Stability Issues in RNN Architectures Perspective The focus of this chapter is on stability and convergence of relaxation realised through NARMA recurrent neural networks. Unlike other commonly used approaches, which mostly exploit Lyapunov stability theory, the main mathematical tool employed in this analysis is the contraction mapping theorem (CMT), together with the fixed point iteration (FPI) technique. This enables derivation of the asymptotic stability (AS) and global asymptotic stability (GAS) criteria for neural relaxive systems.

19p doroxon 12-08-2010 111 9   Download