On the boundedness of the solutions of the continuous Riccati equation.
On the genericity of the observability of controlled discrete-time systems
In this paper, we prove the genericity of the observability for discrete-time systems with more outputs than inputs.
On the genericity of the observability of controlled discrete-time systems
In this paper, we prove the genericity of the observability for discrete-time systems with more outputs than inputs.
Controllability properties of a class of systems modeling swimming microscopic organisms
We consider a finite-dimensional model for the motion of microscopic organisms whose propulsion exploits the action of a layer of covering its surface. The model couples Newton's laws driving the organism, considered as a rigid body, with Stokes equations governing the surrounding fluid. The action of the is described by a set of controlled velocity fields on the surface of the organism. The first contribution of the paper is the proof that such a system is generically controllable when...
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