Results 21 to 30 of about 9,419 (263)
Journal of Inequalities and Applications, 2019 This paper investigates the new stability criteria for the asymptotic stability of time-delay systems via integral inequalities and Jensen inequalities.
Wei Zheng +5 more
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Results in Control and Optimization, 2023 This paper discusses the problem of finite time stability (FTS) for linear delayed systems where the time-varying delay is bounded. First, based on a Lyapunov–Krasovskii Functional (LKF) which contains terms of triple integrals, delay-dependent FTS ...
Nabil El Akchioui +5 more
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Reduced Model in H∞ Vibration Control Using Linear Matrix Inequalities
Shock and Vibration, 2006 Many practical problems in structural dynamics are modeled with a high number of degrees of freedom in order to properly describe the structure. A formulation to design robust controllers is the H∞ technique where the controller has the same order of the
Fernando Sarracini Júnior +1 more
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On Harmonic Complex Balancing Numbers
Mathematics, 2022 In the present work, we define harmonic complex balancing numbers by considering well-known balancing numbers and inspiring harmonic numbers. Mainly, we investigate some of their basic characteristic properties such as the Binet formula and Cassini ...
Fatih Yılmaz +2 more
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State Control Design of Ostensible Metzler Linear Systems with Unsigned Input Parameters
DesignsThis paper deals with the design of a complete state control for input unsigned, rank deficient matrix parameters of a linear system with system dynamics defined by ostensible structures of Metzler matrices.
Dušan Krokavec, Anna Filasová
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Contractors and Linear Matrix Inequalities [PDF]
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems Part B: Mechanical Engineering, 2015 Linear matrix inequalities (LMIs) comprise a large class of convex constraints. Boxes, ellipsoids, and linear constraints can be represented by LMIs. The intersection of LMIs are also classified as LMIs. Interior-point methods are able to minimize or maximize any linear criterion of LMIs with complexity, which is polynomial regarding to the number of ...
Nicola, Jeremy, Jaulin, Luc
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Matrix rank and inertia formulas in the analysis of general linear models
Open Mathematics, 2017 Matrix mathematics provides a powerful tool set for addressing statistical problems, in particular, the theory of matrix ranks and inertias has been developed as effective methodology of simplifying various complicated matrix expressions, and ...
Tian Yongge
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Optimal control of satellite system model using Linear Matrix inequality approach
Results in Control and Optimization, 2023 In this paper, a robust control strategy has been proposed for the satellite attitude control system, namely, ℋ∞with regional pole constraints. This design method has been applied to eliminate the effects of disturbances and uncertainties, which are ...
Ali Khudhair Al-Jiboory
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Matrix inequalities and kernels of linear transformations [PDF]
Pacific Journal of Mathematics, 1972 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Linear Matrix Inequalities in Fault Detection Filter Design for Linear Ostensible Metzler Systems
MachinesThe article deals with the properties of fault detection filters when applying their structure to a class of linear, continuous-time systems, with dynamics being specified by the system matrix of the ostensible Metzler structure. The proposed solution is
Dušan Krokavec, Anna Filasová
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