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Stabilization to Exponential Input-to-State Stability via Aperiodic Intermittent Control
IEEE Transactions on Automatic Control, 2021This article studies the stabilization to exponential input-to-state stability (ISS) via aperiodic intermittent control (APIC) for continuous-time systems.
B. Liu, Meng Yang, Tao Liu, D. Hill
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Global Exponential Stability of Memristive Neural Networks With Mixed Time-Varying Delays
IEEE Transactions on Neural Networks and Learning Systems, 2020This article investigates the Lagrange exponential stability and the Lyapunov exponential stability of memristive neural networks with discrete and distributed time-varying delays (DMNNs).
Yin Sheng +3 more
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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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IEEE Transactions on Nanobioscience, 2020
In this paper, the sufficient conditions for the global exponential stability of the switched genetic regulatory networks with mixed time delays are obtained.
Lina Zhang +3 more
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In this paper, the sufficient conditions for the global exponential stability of the switched genetic regulatory networks with mixed time delays are obtained.
Lina Zhang +3 more
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Almost exponential stability and exponential stability of resolvent operator families
Semigroup Forum, 2016A new concept of almost exponential stability of the resolvent operator family \(\{ R(t), \, t\geq 0 \},\) \[ R(t) x = x+ \int_0^t a(t-\tau) A R(\tau) x\,d\tau, \, x\in {\mathcal D}(A),\quad A: {\mathcal D}(A ) \subseteq X\rightarrow X \] is constructed.
Fan, Zhenbin, Dong, Qixiang, Li, Gang
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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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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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Exponential Stability of Stochastic Nonlinear Delay Systems Subject to Multiple Periodic Impulses
IEEE Transactions on Automatic ControlThis article is devoted to stability analysis of stochastic nonlinear delay systems subject to multiple periodic impulses. By means of the stochastic analysis technique and improved Razumikhin method, we obtain several novel stability criteria under the ...
Haofeng Xu, Quanxin Zhu, W. Zheng
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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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Exponential growth bound and exponential stability
1998In 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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