Results 241 to 250 of about 1,510,449 (287)

Interval set‐membership estimation for continuous linear systems

International Journal of Robust and Nonlinear Control, 2020
SummaryThis article proposes a mixed interval set‐membership estimation (ISME) method for continuous linear time‐invariant (LTI) systems by combining the positive system theory and the set theory. The proposed ISME method gives a new mixed interval‐set estimation framework for continuous LTI systems, whose benefit consists in that it has potential to ...
Feng Xu, Songlin Yang, Bin Liang
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Interval Householder Method for Complex Linear Systems

Reliable Computing, 2006
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Interval stability of linear impulsive systems

Journal of Computer and Systems Sciences International, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Denisenko, V. S., Slyn'ko, V. I.
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Digital Superstabilization of a Switched Interval Linear System

Differential Equations, 2020
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Fursov, A. S., Mosolova, Yu. M., Minyaev, S. I.   +2 more
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Solvability of Systems of Linear Interval Equations

SIAM Journal on Matrix Analysis and Applications, 2003
Summary: A system of linear interval equations is called solvable if each system of linear equations contained therein is solvable. In the main result of this paper it is proved that solvability of a general rectangular system of linear interval equations can be characterized in terms of nonnegative solvability of a finite number of systems of linear ...
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Boundary Realizations Method for Interval Linear Dynamic Systems

Reliable Computing, 2005
The authors study the state space realization problem for interval linear dynamic discrete-time systems. Given a sequence of \(p\times m\) interval matrices \({\mathbf A}_i\), \(i= 1,2,\dots\), an algebraic interval realization consists in finding the dimension \(n\) and a triple of interval matrices \(({\mathbf F},{\mathbf G},{\mathbf H})\in\mathbb{I}\
Pushkov, Sergey G., Kalinkina, Svetlana Yu.   +1 more
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Interval linear systems: the state of the art

Computational Statistics, 2006
The paper is devoted to the solution of a system of linear equations \(Ax=b\) in the case when \(A\) and \(b\) are a matrix and a vector with interval valued entries. In fact, \(A\) and \(b\) are considered as sets of values, e.g. \(A=\{a\in \mathbb R^{m\times n}:\;\underline A\leq a\leq \overline A\}\), where \(\underline A\) and \(\overline A\) are ...
S. CORSARO, MARINO, MARINA
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Linear interval systems: "optimal" stability margin

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2002
By means of elementary unitary transformations and Gershgoring's theorem, new sufficient conditions for the stability of interval matrices are proposed. Moreover, this paper presents a schematic algorithm for computing the stability margin of an interval system involving an optimization step, where the objective function is the spectral condition ...
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Formal Solution to Systems of Interval Linear or Non-Linear Equations

Reliable Computing, 2002
The authors study a class of linear and nonlinear equations with interval coefficients in the setting of modal interval arithmetic. The latter provides a semantic relation between the formal algebraic solutions in the setting of Kaucher's generalized interval arithmetic and the solutions of corresponding real-valued systems with coefficients belonging ...
Sainz, Miguel Á., Gardeñes, Ernest, Jorba, Lambert   +2 more
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Robust stabilization of linear interval systems

Journal of Applied Mathematics and Mechanics, 2002
The paper deals with linear systems whose parameters are known up to the upper and lower limits. The author proposes to use the robust controllability criterion [\textit{C. C. Paige}, IEEE Trans. Autom. Control 26, 130--138 (1981; Zbl 0463.93024)]. This controllability criterion is applied in the synthesis of the robust control.
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