Weak and strong stabilization of linear systems
We study the problem of stabilizing a distributed linear system on a subregion of its geometrical domain. We are concerned with two methods: the first approach enables us to characterize a stabilizing control via the steady state Riccati equation, and the second one is based on decomposing the state space into two suitable subspaces and studying the projections of the initial system onto such subspaces. The obtained results are performed through various examples.
AbstractIn this note we have proved the lifting properties on fibre bundle W under skew product flow π and established that if bounded solutions are positively uniformly stable then a π–invariant subset of W is minimal.