Results 21 to 30 of about 413,291 (285)
Spectral linear matrix inequalities [PDF]
Advances in Mathematics, 2021 We prove, under a certain representation theoretic assumption, that the set of real symmetric matrices, whose eigenvalues satisfy a linear matrix inequality, is itself a spectrahedron. The main application is that derivative relaxations of the positive semidefinite cone are spectrahedra. From this we further deduce statements on their Wronskians. These
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Discrete Dynamics in Nature and Society, 2015 This paper is concerned with the robust distributed H∞ filtering problem for nonlinear systems subject to sensor saturations and fractional parameter uncertainties. A sufficient condition is derived for the filtering error system to reach the required H∞
Dong Liu +4 more
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Flight optimisation of missile using linear matrix inequality (LMI) approach
The Journal of Engineering, 2019 The research entails a finite-element design of a 3d-autopilot missile synthesis of multiple objective controls by solving the inequalities encountered while using a linear matrix.
Samarpan Deb Majumder
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Combined Enhanced LMI Charactrization and Parametric Eigenstructure Assignment Using Static Output Feedback [PDF]
Journal of Intelligent Procedures in Electrical Technology, 2012 This paper proposes mixed eigenstructure assignment with H∞ constraint when the states are not measurable. In this case, full state feedback is not permissible. So eigenstructure assignment by output feedback is considered.
Amir Parviz Valadbeygi +2 more
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H2 model order reduction of bilinear systems via linear matrix inequality approach
IET Control Theory & Applications, 2023 This paper proposes an H2‐optimal model order reduction (MOR) method for bilinear systems based on the linear matrix inequality (LMI) approach. In this method, to reduce the computational complexity, at first, a reduced middle‐order approximation of the ...
Hasan Nasiri Soloklo, Nooshin Bigdeli
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Two results on the size of spectrahedral descriptions [PDF]
, 2015 A spectrahedron is a set defined by a linear matrix inequality. Given a spectrahedron we are interested in the question of the smallest possible size $r$ of the matrices in the description by linear matrix inequalities.
Kummer, Mario
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Nonlinear Analysis, 2022 This paper investigates the finite-time stabilization problem of fractional-order nonlinear differential systems via an asymmetrically saturated reliable control in the sense of Caputo’s fractional derivative.
L. Susana Ramya +2 more
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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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Abstract and Applied Analysis, 2014 This paper deals with the problem of robust model predictive control (RMPC) for a class of linear time-varying systems with constraints and data losses. We take the polytopic uncertainties into account to describe the uncertain systems.
Deyin Yao +3 more
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IEEE Access, 2021 In this article, a robust $H_{\infty }$ fault tolerant control law is addressed for a class of the uncertain dynamical systems represented via linear fractional transformation.
Valiollah Ghaffari +4 more
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