Search · four archives
Search · four archives
7 papers · ranked by Valyu relevance
Oleg Stepanov, Alexey Isaev, Elena Dranitsyna, Yulia Litvinenko
A class of nonlinear filtering problems connected with data fusion from various navigation sensors and a navigation system is considered. A special feature of these problems is that the posterior probability density function (PDF) of the state vector being estimated changes its character from multi-extremal to…
Sergey V. Chermnykh
We study the matrix representation of Poincaré normalization using the Carleman linearization technique for non-autonomous differential systems with quasi-periodic coefficients. We provide a rigorous proof of the validity of the matrix representation of the normalization and obtain a recursive algorithm for computing…
Xiaoliang Feng, Jiawei Zhang, Mohammad Reza Rahimi Tabar
This paper investigates state estimation for strongly nonlinear systems with unknown inputs under non-Gaussian heavy-tailed impulsive noise. Conventional recursive three-step filters (RTSF) based on the minimum-variance criterion are sensitive to outliers, while a single local linearization is often inadequate for…
Michaël Cadilhac, Filip Mazowiecki, Charles Paperman, Michał Pilipczuk + 1 more
'Michał Pilipczuk' 'Géraud Sénizergues'] We study the expressive power of polynomial recursive sequences, a nonlinear extension of the well-known class of linear recursive sequences. These sequences arise naturally in the study of nonlinear extensions of weighted automata, where (non)expressiveness results translate to…
Eranda Çela, Bettina Klinz, Stefan Lendl, Gerhard J. Woeginger + 1 more
'Lasse Wulf'] An instance of the NP-hard Quadratic Shortest Path Problem (QSPP) is called linearizable iff it is equivalent to an instance of the classic Shortest Path Problem (SPP) on the same input digraph. The linearization problem for the QSPP (LinQSPP) decides whether a given QSPP instance is linearizable and…
Iqbal M. Batiha, Reyad El-Khazali, Ahmed AlSaedi, Shaher Momani
This paper introduces a general solution of singular fractional-order linear-time invariant (FoLTI) continuous systems using the Adomian Decomposition Method (ADM) based on the Caputo's definition of the fractional-order derivative. The complexity of their entropy lies in defining the complete solution of such systems…
Dai Wan, Kailun Fan, Jingyu He, Haochong Zhang + 3 more
'Xujin Duan' 'Jianguo Wang'] With the rapid development of distributed generation (DG) within the framework of modern power systems, accurately assessing the maximum DG hosting capacity in distribution networks is crucial for ensuring the safe and stable operation of the power grid. This paper first introduces an…