Results 31 to 40 of about 2,675,815 (342)
Koopman Spectral Linearization vs. Carleman Linearization: A Computational Comparison Study [PDF]
arXiv, 2023 Nonlinearity presents a significant challenge in problems involving dynamical systems, prompting the exploration of various linearization techniques, including the well-known Carleman Linearization. In this paper, we introduce the Koopman Spectral Linearization method tailored for nonlinear autonomous dynamical systems.
arxiv
Irish Mathematical Society Bulletin, 2020 This expository survey is dedicated to recent developments in the area of linear dynamics. Topics include frequent hypercyclicity, $\mathcal{U}$-frequent hypercyclicity, reiterative hypercyclicity, operators of C-type, Li-Yorke and distributional chaos, and hypercyclic algebras.
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Application of fractional-order nonlinear equations in coordinated control of multi-agent systems
Nonlinear Engineering, 2023 In order to solve the coordinated operation of voltage and frequency of microgrids and achieve effective distribution of output power, we propose the application of fractional-order nonlinear equations in coordination.
Jia Xiaojian +5 more
doaj +1 more source
Analysis and comparison of the stability of discrete-time and continuous-time linear systems
Archives of Control Sciences, 2016 The asymptotic stability of discrete-time and continuous-time linear systems described by the equations xi+1 = Ākxi and x(t) = Akx(t) for k being integers and rational numbers is addressed. Necessary and sufficient conditions for the asymptotic stability
Kaczorek Tadeusz
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On a conjecture on linear systems [PDF]
Proceedings - Mathematical Sciences, 2017 In a remark to Green's conjecture, Paranjape and Ramanan analyzed the vector bundle $E$ which is the pullback by the canonical map of the universal quotient bundle $T_{\Pp^{g-1}}(-1)$ on $\Pp^{g-1}$ and stated a more general conjecture and proved it for the curves with Clifford Index $1$ (trigonal and plane quintic).
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Block Row Kronecker-Structured Linear Systems With a Low-Rank Tensor Solution
Frontiers in Applied Mathematics and Statistics, 2022 Several problems in compressed sensing and randomized tensor decomposition can be formulated as a structured linear system with a constrained tensor as the solution.
Stijn Hendrikx +3 more
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Stability of Markov regenerative switched linear systems [PDF]
, 2015 In this paper, we give a necessary and sufficient condition for mean stability of switched linear systems having a Markov regenerative process as its switching signal. This class of switched linear systems, which we call Markov regenerative switched linear systems, contains Markov jump linear systems and semi-Markov jump linear systems as special cases.
arxiv +1 more source
Canonical forms for polynomial systems with balanced super-linearizations [PDF]
arXiv, 2022 A system is Koopman super-linearizable if it admits a finite-dimensional embedding as a linear system. Super-linearization is used to leverage methods from linear systems theory to design controllers or observers for nonlinear systems. We call a super-linearization balanced if the degrees of the hidden observables do not exceed the ones of the visible ...
arxiv
Dendritic cells steering antigen and leukocyte traffic in lymph nodes
FEBS Letters, EarlyView.Dendritic cells are key players in the activation of T cells and their commitment to effector function. In this In a Nutshell Review, we will discuss how dendritic cells guide the trafficking of antigen and leukocytes in the lymph node, thus influencing T‐cell activation processes. Dendritic cells (DCs) play a central role in initiating and shaping the
Enrico Dotta +3 more
wiley +1 more source
A Kalman Filter with Intermittent Observations and Reconstruction of Data Losses
International Journal of Applied Mathematics and Computer Science, 2022 This paper deals with the problem of joint state and unknown input estimation for stochastic discrete-time linear systems subject to intermittent unknown inputs on measurements.
Rhouma Taouba +2 more
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