Results 311 to 320 of about 4,012,994 (361)
Stability of a characterization of the exponential distribution [PDF]
Lithuanian Mathematical Journal, 1982 Let X be a positive random variable with a distribution function F(x) satisfying the inequality \(F(x)0\), X has a finite kth order moment; let \(EX^ k=a\). Further, suppose that, for all \(x\geq 0\), the inequality \[ (*)\quad | E\{X-x)^ k| X\geq x\}-a| (1-F(x))\leq \epsilon \] holds.
O. Januškevičiene, L. Klebanovas
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Exponential growth bound and exponential stability [PDF]
, 1998 In Section 5.1, we characterize the exponential growth bound of the propagators of (ACP n ) in a Hilbert space in terms of the behavior of on vertical lines in a half complex plane. As a consequence we show that the propagators are exponentially stable if P λ is boundedly invertible in {λ ∈ C; Reλ ≥ 0} with uniformly bounded there.
Ti-Jun Xiao, Jin Liang
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Almost exponential stability and exponential stability of resolvent operator families
Semigroup Forum, 2016In this paper, we introduce a new concept of stability of resolvent operator families, almost exponential stability. We establish a perturbation theorem on analytic resolvent operator families, and derive some sufficient conditions on the almost exponential stability or exponential stability of resolvent operator families by using rescaling technique ...
Zhenbin Fan, Qixiang Dong, Gang Li
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Exponential Stability of Nonlinear Systems With Delayed Impulses and Applications
IEEE Transactions on Automatic Control, 2019We consider a class of nonlinear impulsive systems with delayed impulses, where the time delays in impulses exist between two consecutive impulse instants. Based on the impulsive control theory and the ideas of average dwell time (ADT), a set of Lyapunov-
Xiaodi Li, Shiji Song, Jianhong Wu
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Exponential Stability of Markovian Jumping Systems via Adaptive Sliding Mode Control
IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2019In this paper, the exponential stability in mean square for Markovian jumping systems (MJSs) is discussed. A new dynamic model, which involves parameters uncertainties, nonlinearities, and Lévy noises, is proposed.
Cong Xu +4 more
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On exponential absolute stability†
International Journal of Control, 1972Abstract A new sufficient condition is formulated for the Lur'e type non-linear continuous system to bo exponentially absolutely stable. The condition relaxes the assumptions on the non-linear characteristic by modifying the requirements on the linear part of the syatem.
Dragoslav D. Šiljak, C. K. Sun
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IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2019
In this paper, we analyze the exponential stability, passivity, and $\boldsymbol {(\mathfrak {Q},\mathfrak {S},\mathfrak {R})}$ - $\boldsymbol {\gamma }$ -dissipativity of generalized neural networks (GNNs) including mixed time-varying delays in state ...
R. Saravanakumar +3 more
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In this paper, we analyze the exponential stability, passivity, and $\boldsymbol {(\mathfrak {Q},\mathfrak {S},\mathfrak {R})}$ - $\boldsymbol {\gamma }$ -dissipativity of generalized neural networks (GNNs) including mixed time-varying delays in state ...
R. Saravanakumar +3 more
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IEEE Transactions on Neural Networks and Learning Systems, 2019
This paper considers generalized discrete-time inertial neural network (GDINN). By timescale theory, the original network is rewritten as a timescale-type inertial NN. Two different scenarios are considered.
Qiang Xiao, Tingwen Huang, Z. Zeng
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This paper considers generalized discrete-time inertial neural network (GDINN). By timescale theory, the original network is rewritten as a timescale-type inertial NN. Two different scenarios are considered.
Qiang Xiao, Tingwen Huang, Z. Zeng
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Global Exponential Stability of Delayed Neural Networks Based on a New Integral Inequality
IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2019This paper focuses on the problem of exponential stability for a class of neural networks with time-varying delays. A more general inequality is established which extends the auxiliary function-based integral inequality.
Yajuan Liu, Ju H. Park, F. Fang
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IEEE Transactions on Neural Networks and Learning Systems, 2018
This paper investigates the exponential stability analysis issue for a class of delayed recurrent neural networks (RNNs) with semi-Markovian parameters. By constructing a stochastic Lyapunov functional and using some zoom techniques to estimate its weak ...
Xin Li +4 more
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This paper investigates the exponential stability analysis issue for a class of delayed recurrent neural networks (RNNs) with semi-Markovian parameters. By constructing a stochastic Lyapunov functional and using some zoom techniques to estimate its weak ...
Xin Li +4 more
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