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Antithetic Integral Feedback Ensures Robust Perfect Adaptation in Noisy Biomolecular Networks.
Homeostasis is a running theme in biology. Often achieved through feedback regulation strategies, homeostasis allows living cells to control their internal environment as a means for survivingExpand
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Convex conditions for robust stability analysis and stabilization of linear aperiodic impulsive and sampled-data systems under dwell-time constraints
TLDR
Stability analysis and control of impulsive systems is addressed in a hybrid framework, through the use of continuous-time time-varying discontinuous Lyapunov functions. Expand
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Convergence and Equivalence Results for the Jensen's Inequality—Application to Time-Delay and Sampled-Data Systems
  • Corentin Briat
  • Mathematics, Computer Science
  • IEEE Transactions on Automatic Control
  • 28 February 2011
TLDR
We prove that the Jensen's gap can be made arbitrarily small provided that the order of uniform fragmentation is chosen sufficiently large. Expand
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Robust stability and stabilization of uncertain linear positive systems via Integral Linear Constraints : L 1-and L ∞-gains characterization
Copositive linear Lyapunov functions are used along with di ssipativity theory for stability analysis and control of uncertain linear positive systems. Unlike usual results on linear systems, linearExpand
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Antithetic Integral Feedback Ensures Robust Perfect Adaptation in Noisy Biomolecular Networks.
TLDR
The ability to adapt to stimuli is a defining feature of many biological systems and critical to maintaining homeostasis. Expand
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A Scalable Computational Framework for Establishing Long-Term Behavior of Stochastic Reaction Networks
TLDR
We demonstrate that the stability properties of a wide class of biological networks can be assessed from our sufficient theoretical conditions that can be recast as efficient and scalable linear programs, well-known for their tractability. Expand
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Stability analysis of uncertain sampled-data systems with incremental delay using looped-functionals
TLDR
The robust stability analysis of asynchronous and uncertain sampled-data systems with constant incremental input delay is addressed in the looped-functional framework. Expand
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Stability analysis and control of a class of LPV systems with piecewise constant parameters
  • Corentin Briat
  • Mathematics, Computer Science
  • Syst. Control. Lett.
  • 1 August 2015
TLDR
Stability criteria characterizing the asymptotic stability of a class of LPV systems with piecewise constant parameters under constant and minimum dwell-time. Expand
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