Exponential stability

In this paper, the problem of exponential stability of linear time-delay systems with mixed discrete and distributed delays is studied. Based on an asymmetric Lyapunov–Krasovskii functional approach, sufficient conditions are derived in terms of linear matrix inequalities to guarantee the exponential convergence of the system state trajectories with a prescribed decay rate.

14p viaburame 14-03-2025 3 1   Download

This paper presents the problem of exponential stabilization of switched systems with mixed timevarying delays in state and control. Based on the partitioning of the stability state regions into convex cones, a constructive geometric design for switching laws is put forward.

10p vibenya 31-12-2024 6 2   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 20 3   Download

Cyclins are the essential regulatory subunits of cyclin-dependent protein kinases. They accumulate and disappear periodically at specific phases of the cell cycle. Here we investigated whether variations in cyclin mRNA levels in exponentially growing cells can be attributed to changes in mRNA stability. Mouse EL4 lymphoma cells and 3T3 fibroblasts were synchron-ized by elutriation or cell sorting.

13p fptmusic 12-04-2013 58 3   Download

We prove that almost every nonregular real quadratic map is ColletEckmann and has polynomial recurrence of the critical orbit (proving a conjecture by Sinai). It follows that typical quadratic maps have excellent ergodic properties, as exponential decay of correlations (Keller and Nowicki, Young) and stochastic stability in the strong sense (Baladi and Viana). This is an important step in achieving the same results for more general families of unimodal maps.

52p noel_noel 17-01-2013 62 6   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 61 5   Download

EXPONENTIAL STABILITY OF DYNAMIC EQUATIONS ON TIME SCALES ALLAN C. PETERSON AND YOUSSEF N. RAFFOUL Received 6 July 2004 and in revised form 16 December 2004 We investigate the exponential stability of the zero solution to a system of dynamic equations on time scales. We do this by defining appropriate Lyapunov-type functions and then formulate certain inequalities on these functions. Several examples are given. 1. Introduction This paper considers the exponential stability of the zero solution of the first-order vector dynamic equation x∆ = f (t,x), t ≥ 0. (1.

12p sting12 10-03-2012 46 5   Download

STABILITY FOR DELAYED GENERALIZED 2D DISCRETE LOGISTIC SYSTEMS CHUAN JUN TIAN AND GUANRONG CHEN Received 28 August 2003 and in revised form 19 February 2004 This paper is concerned with delayed generalized 2D discrete logistic systems of the form xm+1,n = f (m,n,xm,n ,xm,n+1 ,xm−σ,n−τ ), where σ and τ are positive integers, f : N2 × R3 → 0 R is a real function, which contains the logistic map as a special case, and m and n are nonnegative integers, where N0 = {0,1,...} and R = (−∞, ∞). Some sufficient conditions for this system to be stable and exponentially stable...

12p sting12 10-03-2012 52 6   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: EXPONENTIAL STABILITY IN A SCALAR FUNCTIONAL DIFFERENTIAL EQUATION

10p dauphong18 09-03-2012 32 4   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 Exponential Stability for Impulsive BAM Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms

18p sting10 07-03-2012 44 4   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 Exponential Stability of Difference Equations with Several Delays: Recursive Approach

13p sting10 29-02-2012 45 5   Download