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- Corentin Briat
- CDC-ECE
- 2011

Copositive Lyapunov functions are used along with dissipativity theory for stability analysis of uncertain linear positive systems. At the difference of standard results, linear supply-rates are employed for robustness and performance analysis and lead to L1and Lâˆž-gain characterizations. This naturally guides to the definition of Integral Linear Constraintsâ€¦ (More)

- Corentin Briat
- 2014

Copositive linear Lyapunov functions are used along with dissipativity theory for stability analysis and control of uncertain linear positive systems. Unlike usual results on linear systems, linear supply-rates are employed here for robustness and performance analysis using L1and Lâˆž-gains. Robust stability analysis is performed using Integral Linearâ€¦ (More)

- Corentin Briat
- IEEE Transactions on Automatic Control
- 2011

The Jensen's inequality plays a crucial role in the analysis of time-delay and sampled-data systems. Its conservatism is studied through the use of the Grüss Inequality. It has been reported in the literature that fragmentation (or partitioning) schemes allow to empirically improve the results. We prove here that the Jensen's gap can be madeâ€¦ (More)

- Corentin Briat
- Automatica
- 2013

Stability analysis and control of linear impulsive systems is addressed in a hybrid framework, through the use of continuoustime time-varying discontinuous Lyapunov functions. Necessary and sufficient conditions for stability of impulsive systems with periodic impulses are first provided in order to set up the main ideas. Extensions to stability ofâ€¦ (More)

This book provides an introduction to the analysis and control of linear parameter-varying systems and time-delay systems and their interactions. The purpose is to give the readers some fundamental theoretical background...

- Corentin Briat, Mustafa Khammash
- 2012 IEEE 51st IEEE Conference on Decision andâ€¦
- 2012

Protein mean and variance levels in a simple stochastic gene expression circuit are controlled using proportional integral feedback. It is shown that the protein mean level can be globally and robustly tracked to any desired value using a simple PI controller that satisfies explicit sufficient conditions. Controlling both the mean and variance requires onâ€¦ (More)

- Burak Demirel, Corentin Briat, Mikael Johansson
- ArXiv
- 2013

This paper proposes a supervisory control structure for networked systems with time-varying delays. The control structure, in which a supervisor triggers the most appropriate controller from a multi-controller unit, aims at improving the closed-loop performance relative to what can be obtained using a single robust controller. Our analysis considers averageâ€¦ (More)

- Corentin Briat
- 2008

This paper is concerned with the stabilization of LPV time delay systems with time varying delays by parameter dependent state-feedback. First a stability test with Hâˆž performance is given through a parameter dependent LMI. This stability test is derived from a parameter dependent Lyapunov-Krasovskii functional combined with the Jensenâ€™s inequality. Fromâ€¦ (More)

- Erik Olofsson, Emmanuel Witrant, Corentin Briat, Silviu-Iulian Niculescu, Per Brunsell
- 2008 47th IEEE Conference on Decision and Control
- 2008

In this paper, we investigate the stability problems and control issues that occur in a reversed-field pinch (RFP) device, EXTRAP-T2R (T2R), used for research in fusion plasma physics and general plasma (ionized gas) dynamics. The plant exhibits, among other things, magnetohydrodynamic instabilities known as resistive-wall modes (RWMs), growing on aâ€¦ (More)

- Corentin Briat, Alexandre Seuret
- Systems & Control Letters
- 2012

A new functional-based approach is developed for the stability analysis of linear impulsive systems. The new method, which introduces looped-functionals, considers non-monotonic Lyapunov functions and leads to LMIs conditions devoid of exponential terms. This allows one to easily formulate dwell-times results, for both certain and uncertain systems. It isâ€¦ (More)