Results 11 to 20 of about 610,121 (312)
Stability of Cayley dynamic systems with impulsive effects
Journal of Inequalities and Applications, 2023 Linear dynamic systems with impulsive effects are considered. For such a system we define a new impulsive exponential matrix. Necessary and sufficient conditions for exponential stability and boundedness have been established.
Awais Younus +4 more
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H∞ Control of Discrete-Time Stochastic Systems With Borel-Measurable Markov Jumps
IEEE Access, 2020 This paper is concerned with a kind of discrete-time stochastic systems with Markov jump parameters taking values in a Borel measurable set. First, both strong exponential stability and exponential stability in the mean square sense are introduced for ...
Hongji Ma, Yuechen Cui, Yongli Wang
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Stability analysis for (ω,c)-periodic non-instantaneous impulsive differential equations
AIMS Mathematics, 2022 In this paper, the stability of (ω,c)-periodic solutions of non-instantaneous impulses differential equations is studied. The exponential stability of homogeneous linear non-instantaneous impulsive problems is studied by using Cauchy matrix, and some ...
Kui Liu
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Mathematics, 2022 In this paper, quantitative mean square exponential stability and stabilization of Itô-type linear stochastic Markovian jump systems with Brownian and Poisson noises are investigated.
Gaizhen Chang +4 more
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Exponential stability of stochastic Hopfield neural network with mixed multiple delays
AIMS Mathematics, 2021 This paper investigates the problem for exponential stability of stochastic Hopfield neural networks involving multiple discrete time-varying delays and multiple distributed time-varying delays.
Qinghua Zhou +3 more
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Advances in Difference Equations, 2021 This manuscript is involved in the study of stability of the solutions of functional differential equations (FDEs) with random coefficients and/or stochastic terms.
Abdulwahab Almutairi +3 more
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Dissipative boundary conditions for nonlinear 1-D hyperbolic systems: sharp conditions through an approach via time-delay systems [PDF]
, 2014 We analyse dissipative boundary conditions for nonlinear hyperbolic systems in one space dimension. We show that a previous known sufficient condition for exponential stability with respect to the C^1-norm is optimal.
Coron, Jean-Michel, Nguyen, Hoai-Minh
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Exponential Stability of Evolutionary Equations [PDF]
, 2021 AbstractIn this chapter we study the exponential stability of evolutionary equations. Roughly speaking, exponential stability of a well-posed evolutionary equation $$\displaystyle \left (\partial _{t,\nu }M(\partial _{t,\nu })+A\right )U=F $$ ∂
Christian Seifert +2 more
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Mathematics, 2023 In this article, some new sufficient conditions for the exponential stability of nonlinear time-varying delay differential equations are given. An extension of the classical asymptotical stability theorem in terms of a Lyapunov–Razumikhin function is ...
Natalya O. Sedova, Olga V. Druzhinina
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On Exponential Stability ofC0Semigroups
Journal of Mathematical Analysis and Applications, 1998 The authors consider \(C_0\)-semigroups \((T(t))_{t\geq 0}\) with generator A on Hilbert spaces X. They replace boundedness of \((T(t))_{t \geq 0}\) by an assumption on the domain of A and then characterize exponential stability of \((T(t))_{t \geq 0}\) by the boundedness of the resolvent \(R(i\tau, A)\), \(\tau \in \mathbb{R}\).
Yue-Hu Luo, De-Xing Feng
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