Results 1 to 10 of about 27,788,963 (231)
Chaos as an intermittently forced linear system. [PDF]
Nat Commun, 2017 Understanding the interplay of order and disorder in chaos is a central challenge in modern quantitative science. Approximate linear representations of nonlinear dynamics have long been sought, driving considerable interest in Koopman theory.
Brunton SL +4 more
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Eigenvalues assignment in descriptor linear systems by state and its derivative feedbacks [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2023 The eigenvalues assignment problems for descriptor linear systems with state and its derivative feedbacks are considered herein. Necessary and sufficient conditions for the existence of solutions to the problems are established.
Tadeusz Kaczorek
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An Accelerated Iterative Technique: Third Refinement of Gauss–Seidel Algorithm for Linear Systems
Computer Sciences & Mathematics Forum, 2023 Obtaining an approximation for the majority of sparse linear systems found in engineering and applied sciences requires efficient iteration approaches.
Khadeejah James Audu +1 more
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Numerical checking method for positive invariance of polyhedral sets for linear dynamical systems [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2020 Positively invariant sets play an important role in the theory and applications of dynamical systems. The stability in the sense of Lyapunov of the equilibrium x = 0 is equivalent to the existence of the ellipsoidal positively invariant sets.
H. Yang, Y. Hu
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Linear Complementarity Systems [PDF]
SIAM Journal on Applied Mathematics, 2000 Summary: The authors introduce a new class of dynamical systems called ``linear complementarity systems''. The time evolution of these systems consists of a series of continuous phases separated by ``events'' which cause a change in dynamics and possibly a jump in the state vector. The occurrence of events is governed by certain inequalities similar to
Heemels, W.P.M.H. +2 more
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Sample Complexity Lower Bounds for Linear System Identification [PDF]
IEEE Conference on Decision and Control, 2019 This paper establishes problem-specific sample complexity lower bounds for linear system identification problems. The sample complexity is defined in the PAC framework: it corresponds to the time it takes to identify the system parameters with prescribed
Yassir Jedra, Alexandre Proutière
semanticscholar +1 more source
Quantum Linear System Algorithm for Dense Matrices. [PDF]
Physical Review Letters, 2017 Solving linear systems of equations is a frequently encountered problem in machine learning and optimization. Given a matrix A and a vector b the task is to find the vector x such that Ax=b.
Leonard Wossnig +2 more
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A Matching-Strategy-Inspired Preconditioning for Elliptic Optimal Control Problems
Mathematics, 2023 In this paper, a new preconditioning method is proposed for the linear system arising from the elliptic optimal control problem. It is based on row permutations of the linear system and approximations of the corresponding Schur complement inspired by the
Chaojie Wang, Jie Chen, Shuen Sun
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Energy Engineering and Control Systems, 2020 The article considers the methods of calculating the transition matrix of a dynamic system, which is based on the transient matrix representation by the matrix exponent and on the use of the system signal graph.
Orest Lozynskyy +4 more
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A distributed observer for a time-invariant linear system [PDF]
American Control Conference, 2016 A time-invariant, linear, distributed observer is described for estimating the state of an m > 0 channel, n-dimensional continuous-time linear system of the form ẋ = Ax, yi = Cix, i 2 ∈ {1, 2, …, m}.
Lili Wang, A. Morse
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