Results 1 to 10 of about 2,659,820 (243)
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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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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Relaxed stability conditions for linear systems with time-varying delays via some novel approaches
AIMS Mathematics, 2021 In this paper, the stability problem with considering time-varying delays of linear systems is investigated. By constructing new augmented Lyapunov-Krasovskii (L-K) functionals based on auxiliary function-based integral inequality (AFBI) and considering ...
Seunghoon Lee +4 more
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Nihon Kikai Gakkai ronbunshu, 2022 We consider a linear system under non-Gaussian random excitation modeled by the Cai and Lin’s model and investigate the effects of the non-Gaussianity of the excitation on the displacement and velocity responses based on the bispectrum and cross ...
Daizoh ITOH, Takahiro TSUCHIDA
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Eigenvalues assignment in uncontrollable linear systems [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2022 It is shown that in uncontrollable linear system ẋ = Ax + Bu it is possible to assign arbitrarily the eigenvalues of the closed-loop system with state feedbacks u = Kx, K ∈ ℜn⨉m if rank [A B] = n. The design procedure consists in two steps. In the step 1
Tadeusz Kaczorek
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On Linear Information Systems [PDF]
Electronic Proceedings in Theoretical Computer Science, 2010 Scott's information systems provide a categorically equivalent, intensional description of Scott domains and continuous functions. Following a well established pattern in denotational semantics, we define a linear version of information systems, providing a model of intuitionistic linear logic (a new-Seely category), with a "set-theoretic ...
Bucciarelli, Antonio +3 more
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Linear Complementarity Systems [PDF]
SIAM Journal on Applied Mathematics, 2000 We 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.
Heemels, W.P.M.H. +2 more
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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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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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Numerical Scheme based on Non-polynomial Spline Functions for the System of Second Order Boundary Value Problems arising in Various Engineering Applications [PDF]
Journal of Applied and Computational Mechanics, 2022 Several applications of computational science and engineering, including population dynamics, optimal control, and physics, reduce to the study of a system of second-order boundary value problems.
Anju Chaurasia +2 more
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