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We present a new type of feedback linearization that is tailored for mechanical control systems. We call it a mechanical feedback linearization. Its basic feature is preservation of the mechanical structure of the system. For mechanical…

Optimization and Control · Mathematics 2024-03-22 Marcin Nowicki , Witold Respondek

In this paper, we study the target controllability problem of networked dynamical systems, in which we are tasked to steer a subset of network states towards a desired objective. More specifically, we derive necessary and sufficient…

Optimization and Control · Mathematics 2018-09-25 Jingqi Li , Ximing Chen , Sérgio Pequito , George J. Pappas , Victor M. Preciado

Recent years have witnessed a wave of research activities in systems science toward the study of population systems. The driving force behind this shift was geared by numerous emerging and ever-changing technologies in life and physical…

Optimization and Control · Mathematics 2019-08-16 Jr-Shin Li , Wei Zhang , Lin Tie

Ensemble forecasting is a technique devised to palliate sensitivity to initial conditions in nonlinear dynamical systems. The basic idea to avoid this sensitivity is to run the model many times under several slightly-different initial…

Atmospheric and Oceanic Physics · Physics 2015-06-26 F J Tapiador , R Verdejo

In this paper, we analyze the chain control sets of linear control systems on connected Lie groups. Our main result shows that the compactness of the central subgroup associated with the drift is a necessary and sufficient condition to…

Optimization and Control · Mathematics 2023-09-06 Adriano Da Silva

In the high-dimensional sparse modeling literature, it has been crucially assumed that the sparsity structure of the model is homogeneous over the entire population. That is, the identities of important regressors are invariant across the…

Methodology · Statistics 2014-11-20 Sokbae Lee , Yuan Liao , Myung Hwan Seo , Youngki Shin

In this work, sample-based observability of linear discrete-time systems is studied. That is, we consider the case where the system output measurements are not available at every time instance. It is shown that some discrete-time systems…

Systems and Control · Electrical Eng. & Systems 2023-04-26 Isabelle Krauss , Victor G. Lopez , Matthias A. Müller

We present the observation that the process of stochastic model predictive control can be formulated in the framework of iterated function systems. The latter has a rich ergodic theory that can be applied to study the system's long-run…

Optimization and Control · Mathematics 2022-10-14 Vyacheslav Kungurtsev , Jakub Marecek , Robert Shorten

We consider the pattern formation problem in coupled identical systems after the global synchronized state becomes unstable. Based on analytical results relating the coupling strengths and the instability of each spatial mode (pattern) we…

Pattern Formation and Solitons · Physics 2009-11-10 Govindan Rangarajan , Yonghong Chen , Mingzhou Ding

We consider the failure of localized control in a nonlinear spatially extended system caused by extremely small amounts of noise. It is shown that this failure occurs as a result of a nonlinear instability. Nonlinear instabilities can occur…

Pattern Formation and Solitons · Physics 2009-11-07 Roman O. Grigoriev , Andreas Handel

The main objective of this article is to develop a matrix pencil approach for the study of the controllability and reachability of a class of linear singular discrete time systems. The description equation of a practical system may be…

Optimization and Control · Mathematics 2014-06-06 Charalambos P. Kontzalis , Grigoris Kalogeropoulos

Across smart-grid and smart-city application domains, there are many problems where an ensemble of agents is to be controlled such that both the aggregate behaviour and individual-level perception of the system's performance are acceptable.…

Optimization and Control · Mathematics 2019-07-23 Andre R. Fioravanti , Jakub Marecek , Robert N. Shorten , Matheus Souza , Fabian R. Wirth

In this presentation, we introduce sparsity methods for networked control systems and show the effectiveness of sparse control. In networked control, efficient data transmission is important since transmission delay and error can critically…

Systems and Control · Computer Science 2014-10-21 Masaaki Nagahara

In principle, all the natural systems such as biological, ecological and economical systems are structure-variable systems (in which some environment parameters are not fixed). In this Letter we show that data sequences from many…

comp-gas · Physics 2008-02-03 H. P. Fangi , L. Y. Cao

We consider discrete ensembles of linear, scalar control systems with single-inputs. Assuming that all the individual systems are unstable, we investigate whether there exist linear feedback control laws that can asymptotically stabilize…

Optimization and Control · Mathematics 2024-08-01 Xudong Chen

In this paper we consider switched nonlinear systems under average dwell time switching signals, with an otherwise arbitrary compact index set and with additional constraints in the switchings. We present invariance principles for these…

Optimization and Control · Mathematics 2009-12-24 J. L. Mancilla-Aguilar , R. A. Garcia

The complex behavior of many systems in nature requires the application of robust methodologies capable of identifying changes in their dynamics. In the case of time series (which are sensed values of a system during a time interval),…

Data Analysis, Statistics and Probability · Physics 2023-10-17 L. Guzman-Vargas , A. Zabaleta-Ortega , A. Guzman-Saenz

In this paper we study the main properties of control sets with nonempty interior of linear control systems on semisimple Lie groups. We show that, unlike the solvable case, linear control systems on semisimple Lie groups may have more than…

Optimization and Control · Mathematics 2018-12-13 Victor Ayala , Adriano Da Silva , Philippe Jouan , Guilherme Zsigmond

We consider linear time invariant systems with exogenous stochastic disturbances, and in feedback with structured stochastic uncertainties. This setting encompasses linear systems with both additive and multiplicative noise. Our concern is…

Systems and Control · Computer Science 2020-04-06 Bassam Bamieh , Maurice Filo

For large-scale network systems, network centrality based on control theory plays a crucial role in understanding their properties and controlling them efficiently. The controllability score is such a centrality index and can give a…

Optimization and Control · Mathematics 2025-10-07 Kota Umezu , Kazuhiro Sato