Stability of Time-Delay Systems
Stability of Time-Delay Systems
Automatica (Journal of IFAC)
Technical communique: Delay-range-dependent stability for systems with time-varying delay
Automatica (Journal of IFAC)
Stability analysis of systems with uncertain time-varying delays
Automatica (Journal of IFAC)
Technical communique: New stability criteria for linear systems with interval time-varying delay
Automatica (Journal of IFAC)
Brief paper: New delay-dependent stability criteria for systems with interval delay
Automatica (Journal of IFAC)
Brief paper: Stability analysis of systems with aperiodic sample-and-hold devices
Automatica (Journal of IFAC)
Brief paper: A refined input delay approach to sampled-data control
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Technical communique: Reciprocally convex approach to stability of systems with time-varying delays
Automatica (Journal of IFAC)
Brief paper: A novel stability analysis of linear systems under asynchronous samplings
Automatica (Journal of IFAC)
Brief paper: Wirtinger's inequality and Lyapunov-based sampled-data stabilization
Automatica (Journal of IFAC)
Technical Communique: Robust sampled-data stabilization of linear systems: an input delay approach
Automatica (Journal of IFAC)
Technical communique: Note on stability of linear systems with time-varying delay
Automatica (Journal of IFAC)
New stability conditions for systems with distributed delays
Automatica (Journal of IFAC)
Hi-index | 22.15 |
In the last decade, the Jensen inequality has been intensively used in the context of time-delay or sampled-data systems since it is an appropriate tool to derive tractable stability conditions expressed in terms of linear matrix inequalities (LMIs). However, it is also well-known that this inequality introduces an undesirable conservatism in the stability conditions and looking at the literature, reducing this gap is a relevant issue and always an open problem. In this paper, we propose an alternative inequality based on the Fourier Theory, more precisely on the Wirtinger inequalities. It is shown that this resulting inequality encompasses the Jensen one and also leads to tractable LMI conditions. In order to illustrate the potential gain of employing this new inequality with respect to the Jensen one, two applications on time-delay and sampled-data stability analysis are provided.