Robustness of stability of time-varying index-1 DAEs

Robustness of stability of time-varying index-1 DAEs

We study exponential stability and its robustness for time-varying linear index-1 differentialalgebraic equations. The effect of perturbations in the leading coefficient matrix is investigated. An appropriate class of allowable perturbations is introduced. Robustness of exponential stability with respect to a certain class of perturbations is proved in terms of the Bohl exponent and perturbatio...

Defect-based A-posteriori Error Estimation for Index-1 DAEs

A computationally efficient a posteriori error estimator is introduced and analyzed for collocation solutions to linear index-1 DAEs with properly stated leading term. The procedure is based on a modified defect correction principle, extending an established technique from the ODE context to the DAE case. We prove that the resulting error estimate is asymptotically correct, and illustrate the m...

Robustness analysis for parameter matrices of global exponential stability time varying delay systems

This paper analyzes the robustness of global exponential stability time varying delay systems subjected to parameter uncertainty. Given a globally exponentially stable time varying delay systems, the problem to be addressed herein is how much parameter uncertainty the systems can withstand to be globally exponentially stable. We characterize the upper bounds of the parameter uncertainty for the...

Robust stability of stochastic fuzzy impulsive recurrent neural networks with\ time-varying delays

In this paper, global robust stability of stochastic impulsive recurrent neural networks with time-varyingdelays which are represented by the Takagi-Sugeno (T-S) fuzzy models is considered. A novel Linear Matrix Inequality (LMI)-based stability criterion is obtained by using Lyapunov functional theory to guarantee the asymptotic stability of uncertain fuzzy stochastic impulsive recurrent neural...

Robust stability of time varying polytopic systems