Stability of Linear Systems With Time‐Varying Delay: a Generalized Discretized Lyapunov Functional Approach

By Qing-Long Han, Keqin Gu. 2001

94 citations recorded by the source corpus.

This paper investigates the stability of linear uncertain systems with time‐varying delay. Stability criteria are derived based on a generalized discretized Lyapunov functional approach. The kernel of the functional, which is a function of two variables, is chosen as piecewise linear. The stability conditions are written in the form of linear matrix inequalities. Numerical examples indicate significant improvements over the existing results.

Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/11affecc038f7e3c68378d7072ba364f1f886027

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In Computational Theory and Mathematics

In Computer Networks and Communications

In Control and Systems Engineering

Citations in the corpus

Small gain problem in coupled differential‐difference equations, time‐varying delays, and direct Lyapunov method (2011, methodology): “8rM , the estimated maximum rM while retaining stability using one-term approximation is listed in the first table in the next page together with the results in [32].”
On complete Lyapunov–Krasovskii functional techniques for uncertain systems with fast‐varying delays (2008, methodology): “Note that the discretized Lyapunov functional method [7, 8], which gives the sufficient conditions only, cannot always be applied efficiently.”