Results 11 to 20 of about 3,016 (203)
IEEE Access, 2020 This paper investigates the stability of time-delayed load frequency control (LFC) systems with electric vehicles (EV) aggregators based on Lyapunov theory and linear matrix inequality (LMI) technology.
Sha-Jun Zhou +2 more
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On existence of solutions to structured lyapunov inequalities [PDF]
2016 American Control Conference (ACC), 2016 In this paper, we derive sufficient conditions on drift matrices under which block-diagonal solutions to Lyapunov inequalities exist. The motivation for the problem comes from a recently proposed basis pursuit algorithm. In particular, this algorithm can provide approximate solutions to optimisation programmes with constraints involving Lyapunov ...
Aivar Sootla, James Anderson 0001
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IEEE Access, 2020 This paper proposes a novel generalized integral inequality based on free matrices and applies it to stability analysis of time-varying delay systems. The proposed integral inequality estimates the upper bound of the augmented quadratic term of the state
Jun Hui Lee, In Seok Park, Poogyeon Park
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Нелокальная краевая задача для уравнения с производными дробного порядка с различными началами
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2023 Рассматривается линейное обыкновенное дифференциальное уравнение дробного порядка с композицией лево- и правосторонних операторов дробных производных в главной части.
Энеева, Л.М.
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Lyapunov’s inequality on timescales
Applied Mathematics Letters, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fu-Hsiang Wong +3 more
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Lyapunov and Wirtinger inequalities
Applied Mathematics Letters, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chung-Fen Lee +3 more
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On an inequality of Lyapunov [PDF]
Proceedings of the American Mathematical Society, 1969 According to Fink and St. Mary [2] the proof of (2) given in [1] is incorrect, and therefore the inequality is, as yet, undecided. For n = 2 and P2 0, (2) is known to be correct and also the best possible. This case was first proved by Lyapunov and is generally referred to as Lyapunov's theorem.
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A generalized Lyapunov inequality for a higher-order fractional boundary value problem
Journal of Inequalities and Applications, 2016 In the paper, we establish a Lyapunov inequality and two Lyapunov-type inequalities for a higher-order fractional boundary value problem with a controllable nonlinear term. Two applications are discussed.
Dexiang Ma
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Robust Control Theory for Time Lag System in Chemical Engineering and Its Application
Chemical Engineering Transactions, 2017 A series of problems of the time-lag system including robust stability analysis and guaranteed cost controller design are studied mainly based on the Lyapunov stability theory by linear matrix inequality method and time lag partitioning method in this ...
Mingli Zhou
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Simple stability conditions of linear discrete time systems with multiple delay [PDF]
Serbian Journal of Electrical Engineering, 2010 In this paper we have established a new Lyapunov-Krasovskii method for linear discrete time systems with multiple time delay. Based on this method, two sufficient conditions for delay-independent asymptotic stability of the linear discrete time systems ...
Stojanović Sreten B. +1 more
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