Results 51 to 60 of about 1,468 (179)
Journal of Inequalities and Applications, 2018 Recently, Kittaneh and Manasrah (J. Math. Anal. Appl. 361:262–269, 2010) showed a refinement of the arithmetic–geometric mean inequality for the Frobenius norm. In this paper, we shall present a generalization of Kittaneh and Manasrah’s result. Meanwhile,
Xuesha Wu
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Certain Positive Semidefinite Matrices of Special Functions [PDF]
, 2018 Special functions are often defined as a Fourier or Laplace transform of a positive measure, and the positivity of the measure manifests as positive definiteness of certain matrices. The purpose of this expository note is to give a sample of such positive definite matrices to demonstrate this connection for some well-known special functions such as ...
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Data‐Based Refinement of Parametric Uncertainty Descriptions
International Journal of Robust and Nonlinear Control, Volume 36, Issue 6, Page 3210-3228, April 2026.ABSTRACT We consider dynamical systems with a linear fractional representation involving parametric uncertainties which are either constant or varying with time. Given a finite‐horizon input‐state or input‐output trajectory of such a system, we propose a numerical scheme which iteratively improves the available knowledge about the involved constant ...
Tobias Holicki, Carsten W. Scherer
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Hanner's Inequality For Positive Semidefinite Matrices
, 2021 Error in Theorem 3.1 requires significant ...
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On Positive Semidefinite Matrices with Known Null Space [PDF]
SIAM Journal on Matrix Analysis and Applications, 2002 We show how the zero structure of a basis of the null space of a positive semidefinite matrix can be exploited to determine a positive definite submatrix of maximal rank. We discuss consequences of this result for the solution of (constrained) linear systems and eigenvalue problems.
Arbenz, Peter, Drmac, Zlatko
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Dynamic Event‐Triggered Robust Model Predictive Control for Quadrotor Trajectory Tracking
International Journal of Robust and Nonlinear Control, Volume 36, Issue 6, Page 3676-3688, April 2026.ABSTRACT This paper addresses the trajectory tracking problem for a full‐state quadrotor subject to physical model constraints and unknown external disturbances. A robust tube‐based model predictive control (MPC) approach is successfully applied to the system, which is subject to bounded disturbances and hard constraints.
Ali Can Erüst +2 more
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On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4214-4240, 30 March 2026.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
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Homogeneous Observer‐Based Affine Formation Tracking
International Journal of Robust and Nonlinear Control, Volume 36, Issue 5, Page 2692-2704, 25 March 2026.ABSTRACT This article addresses the control of mobile agents, termed followers, to track a time‐varying affine formation specified by a set of leaders. We present a distributed hierarchical method composed of a homogeneous high‐order sliding mode observer and a tracking controller. The observer estimates the followers' target trajectories from neighbor
Rodrigo Aldana‐López +3 more
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Moore-Penrose inverse of a hollow symmetric matrix and a predistance matrix
Special Matrices, 2016 By a hollow symmetric matrix we mean a symmetric matrix with zero diagonal elements. The notion contains those of predistance matrix and Euclidean distance matrix as its special cases.
Kurata Hiroshi, Bapat Ravindra B.
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 5, 15 March 2026.ABSTRACT This work presents novel structure‐preserving formulations for stable model order reduction in the context of time‐domain room acoustics simulations. A solution to address the instability in conventional model order reduction formulations based on the Linearized Euler Equations is derived and validated through numerical experiments.
Satish Bonthu +4 more
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