Concept

Stabilité de Liapounov

Publications associées (557)

Unsteady asymmetric engulfment regime in a T-mixex

Unsteady flow regimes in a micro T-mixer are investigated. Direct numerical simulations (DNS) show that, in agreement with experimental and numerical results in the literature, when the Reynolds number is increased above a critical value larger than those ...

Amer Inst Physics2014

A codimension two stable manifold of near soliton equivariant wave maps

Joachim Krieger, Daniel Tataru

We consider finite-energy equivariant solutions for the wave map problem from ℝ2+1 to S2 which are close to the soliton family. We prove asymptotic orbital stability for a codimension-two class of initial data which is small with respect to a stronger topo ...

Mathematical Science Publ2013

Fixed-order Controller Design for State Space Polytopic Systems by Convex Optimization

Alireza Karimi

In this paper, a new method for fixed-order controller design of systems with polytopic uncertainty in their state space representation is proposed. The approach uses the strictly positive realness (SPRness) of some transfer functions, as a tool to decoupl ...

2013

Fixed-order H-infinity and H-2 Controller Design for Continuous-time Polytopic Systems: An LMI-based Approach

Alireza Karimi

In this paper, a new approach for fixed-order H-infinity and H-2 dynamic output-feedback controller design of continuous-time systems with state space polytopic uncertainty is proposed. This approach is based on the use of some instrumental matrices, which ...

Ieee2013

Fixed-order H-infinity and H-2 Controller Design for Continuous-time Polytopic Systems: An LMI-based Approach

Alireza Karimi

In this paper, a convex set of fixed-order H-infinity and H2 dynamic output-feedback controllers for continuous-time systems with polytopic uncertainty is proposed. This approach is based on the use of some instrumental stable matrices, which operate as a ...

2013

Dynamics of Stochastically Blinking Systems. Part II: Asymptotic Properties

Martin Hasler, Igor Belykh

We study stochastically blinking dynamical systems as in the companion paper (Part I). We analyze the asymptotic properties of the blinking system as time goes to infinity. The trajectories of the averaged and blinking system cannot stick together forever, ...

Siam Publications2013

From standing to breaking antidunes, a Hopf bifurcation.

Christophe Ancey, Joris Heyman, François Mettra

Antidunes are bed morphologies often observed in steep slope mountain flows but also in small streams flowing on a sand beach. Linear stability analysis of the shallow water equations (SWE), when coupled to a sediment transport equation, predicts the growt ...

2013

A Transient Stability Assessment Method using Post-Fault Trajectories

Maher Kayal, Theodoros Kyriakidis, Guillaume Olivier Lanz

Transient Stability Assessment (TSA) is the process in which the stability of a system is characterized qualitatively or quantitatively. The TSA algorithm presented in this paper is derived from the well-established Single Machine Equivalent (SIME) method ...

2013

A transient stability assessment method using post-fault trajectories

Maher Kayal, Theodoros Kyriakidis, Guillaume Olivier Lanz

IEEE2013

A preconditioned low-rank CG method for parameter-dependent Lyapunov matrix equations

Daniel Kressner, Christine Tobler

This paper is concerned with the numerical solution of symmetric large-scale Lyapunov equations with low-rank right-hand sides and coefficient matrices depending on a parameter. Specifically, we consider the situation when the parameter dependence is suffi ...

Wiley-Blackwell2013

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