Eigenvalues assignment in descriptor linear systems by state and its derivative feedbacks [PDF]
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
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]
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]
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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Numerical Scheme based on Non-polynomial Spline Functions for the System of Second Order Boundary Value Problems arising in Various Engineering Applications [PDF]
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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A Matching-Strategy-Inspired Preconditioning for Elliptic Optimal Control Problems
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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On Linear Information Systems [PDF]
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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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 Matrix Approach for Analyzing Signal Flow Graph
Mason’s gain formula can grow factorially because of growth in the enumeration of paths in a directed graph. Each of the (n − 2)! permutation of the intermediate vertices includes a path between input and output nodes.
Shyr-Long Jeng+2 more
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Relaxed stability conditions for linear systems with time-varying delays via some novel approaches
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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