In this paper we analyze the convergence of a family of robust Kalman filters. For each filter of this family the model uncertainty is tuned according to the so called tolerance parameter. Assuming that the corresponding state-space model is reachable and observable, we show that the corresponding Riccati-like mapping is strictly contractive provided that the tolerance is sufficiently small, ac...

This paper proves the invariance of the second-order modes of continuous-time systems under general frequency transformation, that is, under reactance function. The invariance is proved by obtaining the state-space representation of the transformed system, and its controllability / observability grammians in terms of those of the original system and the reactance system. This invariance propert...

Due to widespread use of Global Positioning System (GPS) in different applications, the issue of GPS signal interference cancelation is becoming an increasing concern. One of the most important intentional interferences is spoofing signals. An effective interference (delay spoof) reduction method based on adaptive filtering is developed in this paper. The principle of method is using adaptive f...

Filter methods realize a projection from superposed quantum state onto target state, which can be efficient if two states have sufficient overlap. Here we propose Gaussian filter (QGF) with the operator being function of system Hamiltonian. A hybrid quantum-classical algorithm feasible on near-term computers is developed, implements as linear combination Hamiltonian evolution at various times. ...