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Matrix Lyapunov inequalities for ordinary and elliptic partial differential equations [PDF]
Topological Methods in Nonlinear Analysis, 2015 17 ...
Cañada, Antonio, Villegas, Salvador
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Explicit solutions for a system of coupled Lyapunov differential matrix equations [PDF]
Proceedings of the Edinburgh Mathematical Society, 1987 This paper is concerned with the problem of obtaining explicit expressions of solutions of a system of coupled Lyapunov matrix differential equations of the typewhere Fi, Ai(t), Bi(t), Ci(t) and Dij(t) are m×m complex matrices (members of ℂm×m), for 1≦i, j≦N, and t in the interval [a,b]. When the coefficient matrices of (1.1) are timeinvariant, Dij are
Jodar, L., Mariton, M.
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Existence of Ψ Bounded Solutions for a Lyapunov Matrix Dierential Equation
Annals of the West University of Timisoara: Mathematics and Computer Science, 2014 It is proved a necessary and sufficient condition for the existence of at least one Ψ- bounded solution of a linear non- homogeneous Lyapunov matrix differential equation.
Diamandescu Aurel
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Axioms, 2022 This paper discusses the robust stability and stabilization of polynomial fractional differential (PFD) systems with a Caputo derivative using the sum of squares. In addition, it presents a novel method of stability and stabilization for PFD systems.
Hassan Yaghoubi +2 more
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Mathematics, 2019 This work is concerned with the delay-dependent criteria for exponential stability analysis of neutral differential equation with a more generally interval-distributed and discrete time-varying delays. By using a novel Lyapunov−Krasovkii functional,
Janejira Tranthi +3 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2023 The method and the formula of variation of constants for ordinary differential equations (ODEs) is a fundamental tool to analyze the dynamics of an ODE near an equilibrium.
Junya Nishiguchi
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LMI conditions for some dynamical behaviors of fractional-order quaternion-valued neural networks
Advances in Difference Equations, 2019 This paper addresses the issue of three dynamical behaviors including global Mittag-Leffler stability, robust stability and projection synchronization for fractional-order quaternion-valued neural networks (FQVNNs).
Dongyuan Lin +3 more
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Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
IET Networks, EarlyView., 2022 Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
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Function approximation technique (FAT)-based nonlinear control strategies for smart thin plates with cubic nonlinearities [PDF]
FME Transactions, 2022 The current work introduces three nonlinear control solutions for the regulation of a vibrating nonlinear plate considering model uncertainty. These solutions are feedback linearization control (FBL), virtual velocity error-based control (VVEC), and ...
Al-Shuka Hayder F.N., Abbas Ehab N.
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Challenges of inversely estimating Jacobian from metabolomics data
Frontiers in Bioengineering and Biotechnology, 2015 Inferring dynamics of metabolic networks directly from metabolomics data provides a promising way to elucidate the underlying mechanisms of biological systems, as reported in our previous studies [1-3] by a differential Jacobian approach. The Jacobian is
Xiaoliang eSun +4 more
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