Results 81 to 90 of about 3,133,085 (202)
Determining the domain of attraction of hybrid non–linear systems using maximal Lyapunov functions [PDF]
, 2010 summary:In this article a method is presented to find systematically the domain of attraction (DOA) of hybrid non-linear systems. It has already been shown that there exists a sequence of special kind of Lyapunov functions $V_n$ in a rational functional ...
Hangos, Katalin M. +3 more
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International Journal of Energy Research, Volume 2026, Issue 1, 2026.Microgrids operating in islanded mode face significant frequency and voltage instability, particularly when dominated by inverter‐based renewable energy sources (RESs) with inherently low system inertia. This study presents a layered hierarchical control strategy that integrates three novel components: (1) an adaptive virtual synchronous generator (VSG)
Girmaw Teshager Bitew, Cheng Du
wiley +1 more source
Fractional‐Order Discrete Competition Dynamics in Financial Institutions
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.While fractional‐order (FO) models have been extensively studied in ecological and biological systems, their application to financial competition dynamics particularly in discrete settings with rigorous stability guarantees remains largely unexplored. This paper addresses this gap by developing a discrete FO competition model for financial institutions,
Iqbal Jebril +2 more
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Journal of Applied Mathematics, 2012 This paper studies the problems of global exponential robust stability of high-order hopfield neural networks with time-varying delays. By employing a new Lyapunov-Krasovskii functional and linear matrix inequality, some criteria of global exponential ...
Yangfan Wang, Linshan Wang
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, 2017 International audienceThis paper is concerned with stability of a linear system with a time-varying delay. First, an optimal reciprocally convex inequality is proposed.
Gouaisbaut, Frédéric +7 more
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On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect
The Scientific World Journal, 2016 Sufficient conditions of interval absolute stability of nonlinear control systems described in terms of systems of the ordinary differential equations with delay argument and also neutral type are obtained.
Andriy Shatyrko, Denys Khusainov
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IET Control Theory & ApplicationsThe stabilization problem for uncertain discrete‐time singular Markovian jump systems (DSMJSs) with time‐varying delays is comprehensively covered in this paper.
Wenbin Chen, Fang Gao
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Abstract and Applied Analysis, 2012 The purpose of this paper is to investigate the delay-dependent stability analysis for discrete-time neural networks with interval time-varying delays.
O. M. Kwon +4 more
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Lyapunov-Krasovskii Functionals in Systems with
Lyapunov-Krasovskii functionals constitute one of the main analytical tools for studyingstability in systems with delay. Unlike finite-dimensional Lyapunov functions, these func-tionals depend on the present state and on the entire recent history of the trajectory.
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Instability of Non-Linear Functional Differential Equations of Fifth Order
Journal of Mathematical and Fundamental Sciences, 2014 In this paper, we study the instability properties of solutions of a kind of functional differential equations of the fifth order with constant delay. Using the Lyapunov-Krasovskii functional approach, we obtain certain sufficient conditions to guarantee
Cemil Tunc
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