48 citations · 53 across the 4 of their papers we have counts for
4 papers
On the Lyapunov Matrix of Linear Delay Difference Equations in Continuous Time
Emanuel Rocha, Sabine Mondié, Michael Di Loreto
The fundamental matrix and the delay Lyapunov matrix of linear delay difference equations are introduced. Some properties of the Lyapunov matrix, and the jump discontinuities of it…
Stability analysis for a class of linear systems governed by difference equations
S. Damak, M. Di Loreto, W. Lombardi +1
Linear systems governed by continuous-time difference equations cover a wide class of linear systems. From the Lyapunov-Krasovskii approach, we investigate stability for such a cla…
Approximation of distributed delays
Hao Lu, Michael Di Loreto, Damien Eberard +1
We address in this paper the approximation problem of distributed delays. Such elements are convolution operators with kernel having bounded support, and appear in the control of t…
Duality between invariant spaces for max-plus linear discrete event systems
Michael Di Loreto, Stephane Gaubert, Ricardo D. Katz +1
We extend the notions of conditioned and controlled invariant spaces to linear dynamical systems over the max-plus or tropical semiring. We establish a duality theorem relating bot…