Results 31 to 40 of about 1,934,847 (269)
Fractal and Fractional, 2022 This paper is concerned with the problem of the robust stability of fractional-order memristive bidirectional associative memory (BAM) neural networks.
Xiuping Han +4 more
doaj +1 more source
Refinements of Kantorovich Inequality for Hermitian Matrices
Journal of Applied Mathematics, 2012 Some new Kantorovich-type inequalities for Hermitian matrix are proposed in this paper. We consider what happens to these inequalities when the positive definite matrix is allowed to be invertible and provides refinements of the classical results.
Feixiang Chen
doaj +1 more source
Refined Upper Solution Bound of the Continuous Coupled Algebraic Riccati Equation
Complexity, 2020 The continuous coupled algebraic Riccati equation (CCARE) has wide applications in control theory and linear systems. In this paper, by a constructed positive semidefinite matrix, matrix inequalities, and matrix eigenvalue inequalities, we propose a new ...
Li Wang
doaj +1 more source
Journal of Mathematical Analysis and Applications, 2000 The author proves that, if \(A\), \(B\) are positive semidefinite \(m\times m\) matrices, then \(0\leq\text{tr}(AB)^n\leq (\text{tr} A)^n(\text{tr} B)^n\) for every positive integer \(n\). This is deduced from two more elaborate inequalities \[ \begin{aligned} & 0\leq \text{tr}(AB)^{2n}\leq (\text{tr} A)^2(\text{tr }A^2)^{n-1}(\text{tr} B^2)^n,\\ & 0 ...
openaire +2 more sources
Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
wiley +1 more source
Linear Algebra and its Applications, 2004 The paper reproves the arithmetic-geometric mean inequality of \textit{R. Bhatia} and \textit{F. Kittaneh} [SIAM J. Matrix Anal. Appl. 11, No. 2, 272--277 (1990; Zbl 0704.47014)] in two equivalent versions via Weyl's monotonicity principle and a cleverly designed block matrix representaion for the inequality. The arithmetic-geometric mean inequality is
openaire +2 more sources
Further subadditive matrix inequalities [PDF]
Mathematical Inequalities & Applications, 2020 Matrix inequalities that extend certain scalar ones have been at the center of numerous researchers' attention. In this article, we explore the celebrated subadditive inequality for matrices via concave functions and present a reversed version of this result.
Gümüş, I. H. +2 more
openaire +3 more sources
Advanced Robotics Research, EarlyView.A codesign multiobjective optimization framework was developed to enhance the morphology and controller of a snake‐like robot driven by artificial muscles. It improved planar locomotion, agility, and power efficiency. The approach optimized link geometry and controller gains, revealing that shorter muscles near joints and longer linkages maximize ...
Ayla Valles, Mahdi Haghshenas‐Jaryani
wiley +1 more source
Advanced Robotics Research, EarlyView.DRIVE‐SAFE evaluates learning‐based, black‐box autonomous driving policies against evolving temporal safety requirements using Signal Temporal Logic robustness metrics. It aggregates distributional robustness measures with domain‐informed weights to guide iterative retraining.
Kristy Sakano +3 more
wiley +1 more source
New norm equalities and inequalities for operator matrices
Journal of Inequalities and Applications, 2016 We prove new inequalities for general 2 × 2 $2\times2$ operator matrices. These inequalities, which are based on classical convexity inequalities, generalize earlier inequalities for sums of operators. Some other related results are also presented. Also,
Feras Ali Bani-Ahmad, Watheq Bani-Domi
doaj +1 more source