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This paper is concerned with the problem of continuous-time nonlinear filtering for stochastic processes on a compact and connected matrix Lie group without boundary, e.g. SO(n) and SE(n), in the presence of real-valued observations. This…

Optimization and Control · Mathematics 2015-10-06 Chi Zhang , Amirhossein Taghvaei , Prashant G. Mehta

Transitions between steady dynamical regimes in diverse applications are often modelled using discontinuities, but doing so introduces problems of uniqueness. No matter how quickly a transition occurs, its inner workings can affect the…

Dynamical Systems · Mathematics 2017-07-26 Mike R. Jeffrey

Intelligent real-world systems critically depend on expressive information about their system state and changing operation conditions, e.g., due to variation in temperature, location, wear, or aging. To provide this information, online…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Jan-Hendrik Ewering , Björn Volkmann , Simon F. G. Ehlers , Thomas Seel , Michael Meindl

We consider a stationary process (with either discrete or continuous time) and find an adaptive approximating stationary process combining approximation quality and supplementary good properties that can be interpreted as additional…

Probability · Mathematics 2020-02-19 Zakhar Kabluchko , Mikhail Lifshits

This paper presents novel stabilizability conditions for switched linear systems with arbitrary and uncontrollable underlying switching signals. We distinguish and study two particular settings: i) the \emph{robust} case, in which the…

Optimization and Control · Mathematics 2023-06-21 Matteo Della Rossa , Thiago Alves Lima , Marc Jungers , Raphaël M. Jungers

Autonomous agents are often tasked with operating in an area where feedback is unavailable. Inspired by such applications, this paper develops a novel switched systems-based control method for uncertain nonlinear systems with temporary loss…

Systems and Control · Computer Science 2018-03-16 Hsi-Yuan Chen , Zachary I. Bell , Patryk Deptula , Warren E. Dixon

The statistical analysis of the fading End to End channel gain of the amplify and forward relaying protocol, however, is well known as extremely complex, and research work to date have only studied the asymptotic behaviour of the outage…

Information Theory · Computer Science 2016-04-22 Quoc Tuan Nguyen , D. T. Nguyen , Cong Lam Sinh

In a recent article the authors showed that the radiative Transfer equations with multiple frequencies and scattering can be formulated as a nonlinear integral system. In the present article, the formulation is extended to handle reflective…

Numerical Analysis · Mathematics 2023-06-12 Olivier Pironneau , Pierre-Henri Tournier

Representation of nonlinear dynamical systems as infinite-dimensional linear operators over Hilbert spaces enables analysis of nonlinear systems via pseudo-spectral operator analysis. In this paper, we provide a novel representation for…

Optimization and Control · Mathematics 2024-01-04 Zachary Morrison , Moad Abudia , Joel Rosenfeld , Rushikesh Kamalapurar

A method is developed within an adaptive framework to solve quasilinear diffusion problems with internal and possibly boundary layers starting from a coarse mesh. The solution process is assumed to start on a mesh where the problem is badly…

Numerical Analysis · Mathematics 2016-02-16 Sara Pollock

Boundary feedback stabilisation of linear port-Hamiltonian systems on an interval is considered. Generation and stability results already known for linear feedback are extended to nonlinear dissipative feedback, both to static feedback…

Analysis of PDEs · Mathematics 2019-05-30 Björn Augner

Ultrasonic motors used in high-precision mechatronics are characterized by strong frictional effects, which are among the main problems in precision motion control. The traditional methods apply model-based nonlinear feedforward to…

Systems and Control · Computer Science 2013-05-29 Minh H-T Nguyen , Kok Kiong Tan , Wenyu Liang , Chek Sing Teo

We consider adaptive finite element methods for second-order elliptic PDEs, where the arising discrete systems are not solved exactly. For contractive iterative solvers, we formulate an adaptive algorithm which monitors and steers the…

Numerical Analysis · Mathematics 2021-07-14 Gregor Gantner , Alexander Haberl , Dirk Praetorius , Stefan Schimanko

In the present work, we derive functional upper bounds for the potential error arising from finite-element boundary-element coupling formulations for a nonlinear Poisson-type transmission problem. The proposed a posteriori error estimates…

Numerical Analysis · Mathematics 2026-02-17 Alexander Freiszlinger , Dirk Pauly , Dirk Praetorius , Michael Schomburg

This paper describes a robust linear time-invariant output-feedback control strategy to reduce turbulent fluctuations, and therefore skin-friction drag, in wall-bounded turbulent fluid flows, that nonetheless gives performance guarantees in…

Fluid Dynamics · Physics 2016-03-25 Peter H. Heins , Bryn Ll. Jones , Ati S. Sharma

The paper presents original approach to concurrent optimization of the transmitting and receiving parts of adaptive communication systems (CS) with feedback channels. The results of research show a possibility and the way of designing the…

Information Theory · Computer Science 2010-08-10 Anatoliy Platonov

Dynamic fading channels are modeled at two fundamentally different levels of abstraction. At the physical layer, the standard representation is a correlated Gaussian process, such as the dB-domain signal power in log-normal shadow fading.…

Information Theory · Computer Science 2026-04-06 Bhaskar Krishnamachari , Victor Gutierrez

This paper presents an adaptive causal discrete-time filter for derivative estimation, exemplified by its use in estimating relative velocity in a mechatronic application. The filter is based on a constrained least squares estimator with…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Alexey Pavlov , Michael Ruderman

For information transmission a discrete time channel with independent additive Gaussian noise is used. There is also another channel with independent additive Gaussian noise (the feedback channel), and the transmitter observes without delay…

Information Theory · Computer Science 2015-01-21 Marat V. Burnashev , Hirosuke Yamamoto

Partial feedback in multiple-input multiple-output (MIMO) communication systems provides tremendous capacity gain and enables the transmitter to exploit channel condition and to eliminate channel interference. In the case of severely…

Applications · Statistics 2007-10-24 Kamal Shahtalebi , Golam Reza Bakhshi , Hamidreza Saligheh Rad