A Remark on Uniformly Symmetrizable Systems

A Remark on Finitness of the Lower Spectrumof Uniformly

A Remark on Monotone I/O Systems

This note remarks that small-gain results for a negative feedback loop around a monotone system can be seen as consequences of results concerning an extended monotone system.

A Remark on a Remark by Macaulay or Enhancing Lazard Structural Theorem

On Uniformly Quasiconformal Anosov Systems

We show that for any uniformly quasiconformal symplectic Anosov diffeomorphism of a compact manifold of dimension at least 4, its finite cover is C∞ conjugate to an Anosov automorphism of a torus. We also prove that any uniformly quasiconformal contact Anosov flow on a compact manifold of dimension at least 5 is essentially C∞ conjugate to the geodesic flow of a manifold of constant negative cu...

A Remark on Robust Stabilization of General Asymptotically Controllable Systems

It was shown recently by Clarke, Ledyaev, Sontag and Subbotin that any asymptotically controllable system can be stabilized by means of a certain type of discontinuous feedback. The feedback laws constructed in that work are robust with respect to actuator errors as well as to perturbations of the system dynamics. A drawback, however, is that they may be highly sensitive to errors in the measur...