The goal of this paper is to propose observer-based controllers, either in state-space form or in polynomial representation, for fractional diierential systems. As for linear diierential systems of integer order, polynomial representation will allow us to take advantage of the Youla parametrization in order to asymptotically reject some perturbations. This will be illustrated on a worked-out ex...

The application of state-space-based subspace system identification methods to training-based estimation for timevarying MIMO frequency-selective channels is explored with the motivation of possible parsimonious parametrization and direct model complexity control. The comparison between the statespace-based channel estimation algorithm and the FIR-based RLS algorithm shows the former is a more ...

In this paper the state-space solution to H optimization problem for linear time-invariant infinite-horizon differential equation in Hilbert space and sign-indefinite cost function is proposed. The necessary and sufficient conditions as well as the parametrization of all admissible controllers are derived in terms of the stabilizing solutions of two Riccati equations

To clarify the geometric information encoded in $SO(D+1)$ spin-network states for higher dimensional loop quantum gravity, we generalize twisted-geometry parametrization of $SU(2)$ phase space ($1+3$)-dimensional gravity to that all-dimensional case. The Poisson structure terms twisted variables suggests a new gauge reduction procedure, with respect discretized gauss and simplicity constraints ...

To clarify the geometric information encoded in $SO(D+1)$ spin-network states for higher dimensional loop quantum gravity, we generalize twisted-geometry parametrization of $SU(2)$ phase space ($1+3$)-dimensional gravity to that all-dimensional case. The Poisson structure terms twisted variables suggests a new gauge reduction procedure, with respect discretized gauss and simplicity constraints ...

In this paper, we investigate a scalar field cosmological model of accelerating Universe with the simplest parametrization equation state parameter field. We use H(z) data, pantheon compilation SN Ia data and BAO to constrain parameters using χ2 minimization technique. obtain present values Hubble constant H0 as 66.2−1.34+1.42, 70.7−0.31+0.32 67.74−1.04+1.24 for H(z), + Pantheon respectively. a...

Many normalizations in various classes of linear dynamical state-space systems lead to system representations which are determined up to a state isometry. Here we present a new set of techniques to obtain (local) canonical forms under state isometries, using what we call sub-diagonal pivot structures. These techniques lead to a very flexible, straightforward algorithm to put any system into can...