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Energy Decay for von Kármán-Gurtin-Pipkin System
This paper aims to prove the asymptotic behavior of the solution for the thermo-elastic von Karman system where the thermal conduction is given by...
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A different approach to fixed-time stability for a wide class of time-varying neural networks
We present sufficient conditions for fixed-time stability for a wide class of neural networks described by a system of differential equations with...
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Sliding mode synchronization between uncertain Watts-Strogatz small-world spatiotemporal networks
Based on the topological characteristics of small-world networks, a nonlinear sliding mode controller is designed to minimize the effects of internal...
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Construction of Lyapunov Functions for Second-Order Linear Stochastic Stationary Systems
In this paper, we present a construction of Lyapunov functions for second-order linear stochastic systems with constant coefficients. Based on this...
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Linear Stationary Fractional Differential Equations
In this paper, fractional-order derivatives satisfying conventional concepts, are considered in order to present some stability results on linear...
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Synchronization of Singular Markovian Jum** Neutral Complex Dynamical Networks with Time-Varying Delays via Pinning Control
This article discusses the synchronization problem of singular neutral complex dynamical networks (SNCDN) with distributed delay and Markovian jump...
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Sampled-Data State Estimation for Neural Networks with Additive Time–Varying Delays
In this paper, we consider the problem of delay-dependent stability for state estimation of neural networks with two additive time–varying delay...
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Synchronization in a fractional-order dynamic network with uncertain parameters using an adaptive control strategy
This paper studies synchronization of all nodes in a fractional-order complex dynamic network. An adaptive control strategy for synchronizing a...
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Outer synchronization of uncertain small-world networks via adaptive sliding mode control
The outer synchronization of irregular coupled complex networks is investigated with nonidentical topological structures. The switching gain is...
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A notion of stability in probability of stochastic nonlinear systems
The concepts of stability in probability of nontrivial solutions for stochastic nonlinear systems are analyzed in terms of a control Lyapunov...
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A constructive way to design a switching rule and switching regions to mean square exponential stability of switched stochastic systems with non-differentiable and interval time-varying delay
This paper addresses a mean square exponential stability problem for a class of switched stochastic systems with time-varying delay. The time delay...
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Exponential input-to-state stability of composite stochastic systems
Sufficient conditions for the exponential input-to-state stability in probability in r th mean and for the almost sure exponential input-to-state...
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Stabilization of Lur’e-type nonlinear control systems by Lyapunov-Krasovskii functionals
The paper deals with the stabilization problem of Lur’e-type nonlinear indirect control systems with time-delay argument. The sufficient conditions...
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On diagonal common quadratic Lyapunov functions for sets of homogeneous cooperative systems
This paper deals with a class of switched homogeneous cooperative systems. We answer under what conditions there exists a diagonal common quadratic...
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LMI approach to robust stability and stabilization of nonlinear uncertain discrete-time systems with convex polytopic uncertainties
This article addresses the robust stability for a class of nonlinear uncertain discrete-time systems with convex polytopic of uncertainties. The...
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Uniformly ultimate boundedness for discontinuous systems with time-delay
The uniformly ultimate boundedness of discontinuous systems with time-delay in the sense of Filippov solutions is discussed. Based on the...
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Lyapunov Function for Nonuniform in Time Global Asymptotic Stability in Probability with Application to Feedback Stabilization
We extend the well-known Artstein-Sontag theorem by introducing the concept of control Lyapunov function for the notion of nonuniform in time global...
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Stability criteria with less LMI variables for linear system with additive time-delays
In this technical note, equivalent stability criterion with minimal number of variables for three recently reported stability criteria is proposed...
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Stability Analysis in Continuous and Discrete Time, using the Cayley Transform
For semigroups and for bounded operators we introduce the new notion of Bergman distance. Systems with a finite Bergman distance share the same...
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Finite-time stability with respect to a closed invariant set for a class of discontinuous systems
This paper discusses the problem of finite-time stability with respect to a closed, but not necessarily compact, invariant set for a class of...