scholarly journals Note on exponential stability of certain nonlinear differential systems with time-varying delays

2012 ◽  
Vol 25 (12) ◽  
pp. 2240-2245 ◽  
Author(s):  
Yuangong Sun ◽  
Jie Qi
Keyword(s):  
Exponential Stability ◽  
Time Varying ◽  
Differential Systems ◽  
Nonlinear Differential Systems

scholarly journals The Exponential Stability and Instability of Differential Systems with Respect to the Linear Coppel–Conti Approximation. Estimation of Characteristic Exponents

2007 ◽  
Vol 14 (2) ◽  
pp. 279-288
Author(s):  
Nikolai A. Izobov ◽  
Rimma A. Prokhorova
Keyword(s):  
Exponential Stability ◽  
Linear Approximation ◽  
Trivial Solution ◽  
Higher Order ◽  
Differential Systems ◽  
Characteristic Exponents ◽  
Linear Approximations ◽  
Stability And Instability ◽  
Perturbed Systems ◽  
Nonlinear Differential Systems

Abstract We prove the exponential stability and instability of a trivial solution of perturbed nonlinear differential systems' with various Coppel–Conti linear approximations and perturbations of higher order smallness. We also obtain upper and lower estimates for characteristic exponents of systems of linear approximation and solutions of the considered perturbed systems.

Sign in / Sign up

Export Citation Format

Share Document