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Convergence and Equivalence Results for the Jensen's Inequality—Application to Time-Delay and Sampled-Data Systems
  • Corentin Briat
  • Mathematics
    IEEE Transactions on Automatic Control
  • 28 February 2011
TLDR
It is proved here that the Jensen's gap can be made arbitrarily small provided that the order of uniform fragmentation is chosen sufficiently large.
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, linear
A Scalable Computational Framework for Establishing Long-Term Behavior of Stochastic Reaction Networks
TLDR
This paper addresses the problems of determining ergodicity of the reaction dynamics, which is analogous to having a globally attracting fixed point for deterministic dynamics, and demonstrates that the stability properties of a wide class of biological networks can be assessed from sufficient theoretical conditions that can be recast as efficient and scalable linear programs, well-known for their tractability.
Robust stability and stabilization of uncertain linear positive systems via integral linear constraints: L1‐gain and L∞‐gain characterization
TLDR
Copositive linear Lyapunov functions are used along with dissipativity theory for stability analysis and control of uncertain linear positive systems and the obtained results are expressed in terms of robust linear programming problems that are equivalently turned into finite dimensional ones using Handelman's Theorem.
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