Displaying similar documents to “Stability of retarded systems with slowly varying coefficient”

Stability of retarded systems with slowly varying coefficient

Michael Iosif Gil (2012)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

The “freezing” method for ordinary differential equations is extended to multivariable retarded systems with distributed delays and slowly varying coefficients. Explicit stability conditions are derived. The main tool of the paper is a combined usage of the generalized Bohl-Perron principle and norm estimates for the fundamental solutions of the considered equations.

New criterion for asymptotic stability of time-varying dynamical systems

Taoufik Ghrissi, Mohamed Ali Hammami, Mekki Hammi, Mohamed Mabrouk (2017)

Kybernetika

Similarity:

In this paper, we establish some new sufficient conditions for uniform global asymptotic stability for certain classes of nonlinear systems. Lyapunov approach is applied to study exponential stability and stabilization of time-varying systems. Sufficient conditions are obtained based on new nonlinear differential inequalities. Moreover, some examples are treated and an application to control systems is given.

Local analysis of hybrid systems on polyhedral sets with state-dependent switching

John Leth, Rafael Wisniewski (2014)

International Journal of Applied Mathematics and Computer Science

Similarity:

This paper deals with stability analysis of hybrid systems. Various stability concepts related to hybrid systems are introduced. The paper advocates a local analysis. It involves the equivalence relation generated by reset maps of a hybrid system. To establish a tangible method for stability analysis, we introduce the notion of a chart, which locally reduces the complexity of the hybrid system. In a chart, a hybrid system is particularly simple and can be analyzed with the use of methods...

Robust stability of non linear time varying systems

Ezra Zeheb (1999)

Kybernetika

Similarity:

Systems with time-varying non-linearity confined to a given sector (Luré type) and a linear part with uncertainty formulated by an interval transfer function, are considered. Sufficient conditions satisfying the Popov criterion for stability, which are computationally tractable, are derived. The problem of checking the Popov criterion for an infinite set of systems, is reduced to that of checking the Popov criterion for a finite number of fixed coefficient systems, each in a prescribed...