time-varying stability theory
Global exponential stability of impulsive cellular neural networks with time varying delays via fixed point theory
... Synthesizing the reported results about the complex CNNs, we find that the existing re- search skill for dealing with the stability is mainly based on Lyapunov theory. However, we also notice that there are ...
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On stability of discrete time systems under nonlinear time varying perturbations
... 4. Dieudonné, J: Foundations of Modern Analysis. Academic Press, San Diego (1988) 5. Elaydi, S: An Introduction to Difference Equations, 3rd edn. Springer, Berlin (2005) 6. Farina, L, Rinaldi, S: Positive Linear Systems: ...
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Finite-time Stability, Dissipativity and Passivity Analysis of Discrete-time Neural Networks Time-varying Delays
... Dissipativity theory provides a substructure for the analysis and design of control systems applying an input-output feature used as a basis energy-related ...
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A perspective on graph theory based stability analysis of impulsive stochastic recurrent neural networks with time varying delays
... exponential stability problem of impulsive recurrent neural networks is investigated; discrete time delay, continuously distributed delay and stochastic noise are simultaneously taken into ...exponential ...
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Risk Correlation Based on Time Varying Copula Function and Extreme Value Theory
... DOI: 10.4236/tel.2017.77151 2214 Theoretical Economics Letters ulation and capital operation innovation, the financial resource allocation and capital flows have already surpassed the scope of national borders. Against ...
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Exponential Stability of the Heat Equation with Boundary Time-Varying Delays
... A general theory for equations of type (2.8) has been developed using semigroup theory [6, 7, 13]. The simplest way to prove existence and uniqueness results is to show that the triplet {A, H, D(A(0))}, ...
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Stability analysis for coupled systems with time varying coupling structure
... same time, it is of great importance to analyze the stability of CSs, because most ap- plications of CSs heavily depend upon their ...with time-invariant coupling structure having been reported (see ...
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Impulsive control and exponential stability for nonlinear time-varying systems with time-varying delays
... control theory, impulsive control strategies, as a useful control means, in the past several years, have been extensively used to stabilize some nonlinear unstable dynamical systems and chaotic systems ...
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A new result on stability analysis for discrete system with interval time varying delays
... with time delay is how to reduce the conser- vatism of the stability ...the time delay interval ...the stability theory of time-delay ...in time delay systems ...
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Dynamic Stability Analysis of Periodically Time Varying Rotor System with a Transverse Crack
... the stability of a cracked rotor system at operating speeds below the first critical speed is investi- ...Floquet’s theory [4,5], which involves computation of a transition matrix over a time ...The ...
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Robust Stability of Implicit Dynamic Equations on Time Scales
... a time-varying differential-algebraic equation and if T then it is a time-varying implicit difference ...control theory, and numerical analysis, ...the theory of dynamic ...
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Robust exponential stability analysis for delayed neural networks with time varying delay
... exponential stability provides a useful measure for the decaying rate, or convergence ...exponential stability for neural networks with time-varying delays by the same approach used in ...
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Globally exponential stability of a certain neutral differential equation with time varying delays
... By solving LMI (), it allows the upper bound of the parameter b = ., ensuring uni- formly asymptotic stability. When k = . is given, solving LMI () allows the upper bound b = ., with a set of ...
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Bounded input bounded output stability for Lurie system with time varying delay
... In this paper, we have studied the bounded input bounded output stability for the Lurie system with time-varying delay. Based on the Lyapunov method and linear matrix inequal- ity technology, new ...
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Existence and Stability of Periodic Solution in Impulsive Hopfield Networks with Time-Varying Delays
... According to Theorem 1, impulsive Hopfield neural networks Eq. (9) has a unique 1-periodic solution which is globally asymptotically stable(see Figs.1-Figs.4). In order to clearly observe the change trend of the ...
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TIME-VARYING LYAPUNOV FUNCTIONS AND LYAPUNOV STABILITY OF NONAUTONOMOUS FRACTIONAL ORDER SYSTEMS
... However, the fractional Lyapunov direct method has a limitation and a difficulty, when it comes to the stability analysis of fractional order systems. First, the limitation lies in the fact that it is usually very ...
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Stability Criteria for BAM Neural Networks With Time–Varying Delays and Leakage Delays
... the stability analysis problem of bidirectional associative memory neural networks with time-varying delays and leakage ...sufficient stability criterion is derived for the addressed system in ...
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Existence and finite time stability of solutions for a class of nonlinear fractional differential equations with time varying delays and non instantaneous impulses
... has time-varying delay terms and non-instantaneous impulsive effects, which are quite different from the related references discussed in the literature [18, 19, 21, 22, ...finite-time stability, ...
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Improved Delay-dependent Stability Criteria for Systems with Two Additive Time-varying Delays
... the stability analysis has been investigated. A novel stability criterion with two additive time-varying delays is acquired through utilizing some accu- rate integral inequalities and integral ...
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Absolute stability of time varying delay Lurie indirect control systems with unbounded coefficients
... Lurie indirect control systems with single nonlinearity will be first studied, and then the derived results will be extended to multiple nonlinearities. Lyapunov’s theorem on asymptotic stability of ...
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