Mean‐Square Exponential Stability of Stochastic Inertial Neural Networks With Time Delay and LéVy Noise
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DOI: 10.1002/mma.10876
Abstract: This paper studies the mean‐square exponential stability problem for a kind of stochastic inertial neural network. The system models considered in this paper are affected not only by white noise but also by the Lévy… read more here.
Keywords: exponential stability; mean square; square exponential; stochastic inertial ... See more keywords
Razumikhin method to global exponential stability for coupled neutral stochastic delayed systems on networks
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DOI: 10.1002/mma.4404
Abstract: Global exponential stability for coupled neutral stochastic delayed systems on networks (CNSDSNs) is investigated in this paper. By means of combining the Razumikhin method with graph theory, some sufficient conditions that can be verified easily… read more here.
Keywords: coupled neutral; global exponential; neutral stochastic; exponential stability ... See more keywords
Exponential stability of random impulsive pantograph equations
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DOI: 10.1002/mma.7218
Abstract: In this paper, we study the pth moment exponential stable and pth moment weakly exponential stable results for the random impulsive pantograph delay differential equations (RIPDDEs). Further, we obtained some sufficient conditions by using the… read more here.
Keywords: exponential stability; stability random; pantograph equations; impulsive pantograph ... See more keywords
Exponential stability analysis of neural networks with a time‐varying delay via a generalized Lyapunov‐Krasovskii functional method
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.5304
Abstract: As is known to all that the Lyapunov‐Krasovskii functional (LKF) method plays a significant role in deriving exponential stability criteria of neural networks with a time‐varying delay. However, when the LKF method is adopted, the… read more here.
Keywords: exponential stability; lyapunov krasovskii; method; varying delay ... See more keywords
Robust exponential stability analysis of switched systems under switching boundary mismatch
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DOI: 10.1002/rnc.6705
Abstract: Switching boundary is an integral part of the switched system, but the existing literature on switched systems does not focus on the system under switching boundary mismatch. In this article, the switching boundary mismatch is… read more here.
Keywords: system; exponential stability; stability; switching boundary ... See more keywords
Nonuniform Stability of Arbitrary Difference Equations
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DOI: 10.1007/s00025-015-0499-2
Abstract: We describe two approaches to study the robustness of the exponential stability of an arbitrary difference equation with finite delay on a Banach space. The first approach is based on a characterization of Perron-type of… read more here.
Keywords: exponential stability; stability; nonuniform stability; stability arbitrary ... See more keywords
Damped wave systems on networks: exponential stability and uniform approximations
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DOI: 10.1007/s00211-017-0924-4
Abstract: We consider a damped linear hyperbolic system modeling the propagation of pressure waves in a network of pipes. Well-posedness is established via semi-group theory and the existence of a unique steady state is proven in… read more here.
Keywords: systems networks; networks exponential; wave systems; exponential stability ... See more keywords
Exponential stability analysis for delayed complex-valued memristor-based recurrent neural networks
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DOI: 10.1007/s00521-017-3166-6
Abstract: The exponential stability problem for complex-valued memristor-based recurrent neural networks (CVMRNNs) with time delays is studied in this paper. As an extension of real-valued memristor-based recurrent neural networks, CVMRNNs can be separated into real and… read more here.
Keywords: valued memristor; based recurrent; memristor based; complex valued ... See more keywords
Exponential stability of periodic solution for a memristor-based inertial neural network with time delays
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DOI: 10.1007/s00521-018-3702-z
Abstract: In this paper, exponential stability of periodic solution for an inertial neural network is studied. Different from most research on inertial neural networks, the model in this paper is based on memristors and is involved… read more here.
Keywords: neural network; stability periodic; inertial neural; exponential stability ... See more keywords
Exponential Stability of Pseudo Almost Periodic Solutions for Fuzzy Cellular Neural Networks with Time-Varying Delays
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DOI: 10.1007/s11063-018-9857-x
Abstract: This paper considers the exponential stability of pseudo almost periodic solutions for a class of fuzzy cellular neural networks with time-varying delays. Based on differential inequality techniques and by constructing suitable Lyapunov function, we achieve… read more here.
Keywords: stability pseudo; periodic solutions; almost periodic; pseudo almost ... See more keywords
$$\alpha $$α-Exponential Stability of Impulsive Fractional-Order Complex-Valued Neural Networks with Time Delays
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DOI: 10.1007/s11063-018-9938-x
Abstract: This paper investigates the global $$\alpha $$α-exponential stability of impulsive fractional-order complex-valued neural networks with time delays. By constructing proper Lyapunov–Krasovskii functional and employing fractional-order complex-valued differential inequality, some sufficient conditions are obtained to ensure… read more here.
Keywords: alpha exponential; order; order complex; complex valued ... See more keywords