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The goal of this paper is to propose a method to compute a single transformation which aims to shift some initial Gramians of a set of state-space representations close to prefixed ones called target. The focus is done on sub-balancing (i.e. where target Gramians are those balanced).
This paper studies the concepts of reachability, observability, controllability and constructibility focusing on the principle of duality with time reversal. This work takes into account linear time-varying systems in continuous time. A discussion is proposed about the Legendre transforms of energy functions and the significance of Schmidt-pairs.
This paper focuses on the model order reduction problem of second-order form models. The aim is to provide a reduction procedure which guarantees the preservation of the physical structural conditions of second-order form models. To solve this problem, a new approach has been developed to transform a second-order form model from a state-space realization which ensures the preservation of the structural...
More and more research fields, in particular in the road safety area, need to establish a vehicle-to-vehicle (V2V) communication step in order to deploy applications (for instance warning messages in case of emergency situations and string and platoon stability). Generally, these applications are experimented with only few vehicles with a local ad hoc or centralized network. The aim of this paper...
The aim of this paper is to propose a discussion about the covariance signification and representation in probabilistic vehicle localization processes. Especially, we focus on its behavior along different trajectories (straight lines and curves). We discuss the interpretation, on one hand, of the mean (computed through a Monte Carlo simulation or estimated through an extended Kalman filtering process)...
This paper studies the contribution of warning communications in a vehicles string. After having presented the capacity and safety notions, two approaches of the evaluation of the communication impact on the safety-capacity tradeoff are presented. The first approach proposes a formal expression of the number of collisions in a uniform vehicles string (unequipped or fully equipped in communication...
The aim of this paper is to carry out a comparison between several algorithms of the Kalman filters family for nonlinear systems. Alter having presented the most popular of them and showed its limitations, we introduce some new Kalman filters and compare them for the vehicle localization problem. This comparison is based on the predictive step what corresponds to the worst case that it can occur in...
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