The issue of single range based observability analysis and observer design for the kinematics model of a 3D vehicle eventually subject to a constant unknown drift velocity is addressed. The proposed method departs from alternative solutions to the problem and leads to the definition of a linear time invariant state equation with a linear time varying output that can be used to globally solve th...

Starting from a continuous time linear time-invariant system, a linearly similar variant of the Nagy–Foias model of the main operator of the system is constructed. A pole placement result, expressed in terms of invertibility of a certain Toeplitz operator, is obtained by applying this model. A numerical example of pole placement is given. Copyright c ©2005 IFAC

A new method for predicting timing jitter caused by device noise in current-mode logic (CML) frequency dividers is presented. Device noise transformation into jitter is modeled as a linear time-varying (LTV) process, as opposed to a previously published method, which models jitter generation as a linear time-invariant (LTI) process. Predictions obtained using the LTV method match jitter values ...

Recently, we showed that certain types of polyhedral Lyapunov functions for linear time-invariant systems, are preserved by diagonal Padé approximations, under the assumption that the continuous-time system matrix Ac has distinct eigenvalues. In this paper we show that this result also holds true in the case that Ac has non-trivial Jordan blocks.

This report treats some basics on parameter identification in linear time invariant descriptor systems, both time continuous and time discrete. It is shown how identification methods for normal state space systems can be used by transforming the descriptor system to state space form. It is also examined how identification can be performed in the frequency domain.

In this paper, we describe some recent developments in the use of projection methods to produce reduced-order models for linear time-invariant dynamic systems. Previous related eeorts in model reduction problems from various applications are also discussed. An overview is given of the theory governing the deenition of the family of Rational Krylov methods, the practical heuristics involved and ...

We consider the model reduction problem for linear time-invariant dynamical systems having nonzero (but otherwise indeterminate) initial conditions. Building upon the observation that the full system response is decomposable as a superposition of the response map for an unforced system having nontrivial initial conditions and the response map for a forced system having null initial conditions, ...

This paper considers computational aspects of the problem of elimination of variables. More precisely, the problem of elimination of latent variables in models is addressed in the behavioral framework. In earlier contributions on this theme, the model classes of infinitely smooth C and square integrable L2 linear time-invariant systems have been considered. For both system classes, conditions f...