Results on finite time and practical stability of continuous time delay

Abstract

This paper gives sufficient conditions for the attractive practical and finite time stability of linear continuous time delay systems of the form x(t) = A0x(t) + A1x(t-τ). When we consider finite time stability, these new, delay dependent conditions are derived using the approach based on Lyapunov-Krassovski functional. In this case the functional need not to have: a) properties of positivity in whole state space and b) negative derivatives along system trajectories.

Keywords

• continuous time delay systems
• finite time stability
• practical stability