Asymptotic stability
Asymptotic stability for population models and neural networks with delays
... totic stability of the equilibrium point of the Lotka-Volterra system is given by the stability of linearized ...the asymptotic stability of the linearized ...global asymptotic ...
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On the asymptotic stability of linear discrete time-delay systems: The Lyapunov approach
... 8 LQGXVWULMVNLP SURFHVLPD VH SUL SUHQRVX LQIRUPD FLMD LOL PDWHULMH L]PHX UD]OL LWLK GHORYD VLVWHPD HVWR MDYOMD YUHPHQVNR NDåQMHQMH +HPLMVNL SURFHVQL VLVWHPL WUDQVSRUWQL VLVWHPL NRPXQLNDF[r] ...
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J. Braz. Soc. Mech. Sci. & Eng. vol.30 número4
... Asymptotic stability of the closed-loop nonlinear system is guaranteed by means of a Lyapunov function, which can clearly be seen to be the analytical solution of the Hamilton-Jacobi-Bellman equation thus ...
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The Oberbeck-Boussinesq problem modified by a thermo-absorption term
... The qualitative properties of the velocity component of the weak solutions as the extinction in a finite time or the asymptotic stability for large t are made in Section 4 by using some r[r] ...
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Qualitative behavior of an anti-competitive system of third-order rational difference equations
... In the paper, we investigate some dynamics of a six-dimensional discrete system. The system has only one equilibrium point , . The linearization method is used to show that equilibrium point , is locally asymptotically ...
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On the Stability of Volterra Difference Equations of Convolution Type
... Therefore, if R = 1, the validity of theorem 2 is an open problem since the analyticity on the unit circumference can not be applied. Besides theorem 4, some other results give us some sufficient conditions for the ...
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J. Braz. Soc. Mech. Sci. & Eng. vol.28 número4
... For linear time-invariant state space systems x ɺ ( t ) = Ax ( t ) it is well known that its asymptotic stability can be discussed by inertia theorems for the Lyapunov matrix equation A T P + AP = − Q , cf. ...
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Simple stability conditions of linear discrete time systems with multiple delay
... Abstract: In this paper we have established a new Lyapunov-Krasovskii method for linear discrete time systems with multiple time delay. Based on this method, two sufficient conditions for delay-independent ...
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Interval observer for SIR epidemic model subject to uncertain seasonality
... whose asymptotic stability is ensured through the search of a common linear Lyapunov function and adequate choice of the gain as function of the state ...
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Comput. Appl. Math. vol.26 número1
... But, in 1998, Wu and Xiong [45] proved that the Lyapunov functions constructed by Chin [6] were the same as those obtained by Cartwright [4] and Ku [15], and Chin’s results [6] were not true for the equations (1.2), ...
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A Note on Hopfield Neural Network Stability
... Abstract —Without assuming the symmetry of the connected matrix and the boundedness or monotonicity of the nonlinear activation functions, some new sufficient criterions are obtained for the asymptotic ...
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On the Stability and Ultimate Boundedness of Solutions for Certain Third Order Differential Equations
... on stability and boundedness of solution for certain third order nonlinear differential equations where the nonlinear and the forcing terms depend on certain variables are ...for stability and boundedness ...
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Sba Controle & Automação vol.14 número1
... As a result of the scheme, the state trajectory is confined to ellipsoidal positive invariant sets and the scheduling parameter ξ results monotone in time. These are the properties that we want to focus on, as they ...
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Stability analysis of a biological network
... In this paper, our aim is to study the boundedness and persistence, existence and uniqueness of positive equilibrium point, local asymptotic stability and global asymptotic behavior of [r] ...
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Analyzing the Gaver - Lewis Pareto Process under an Extremal Perspective
... asymptotically independent. An illustration with financial data may be seen in Poon et al. (2003). The most recent literature has been addressing this issue, namely, with the introduction of new models comprising ...
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Asymptotic properties of solutions of some iterative functional inequalities
... Choczewski, Solutions of linear iterative functional equations behaving like the forcing term in the equation, Aequationes Math.. Czerni, Solutions of linear nonhomogeneous functional eq[r] ...
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Asymptotic models and inference for extremes of spatio-temporal data
... vergence of (1), as well as the possible asymptotic models are well known and part of the univariate and multivariate extreme value theory. The convergence of the stochas- tic process in (1) is more complicated, ...
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ASYMPTOTIC NORMALITY FOR SINGLE EQUATION ESTIMATORS FOR A POPULATION WITH SENSITIVE INSTRUMENTS
... In the case of sensitive instruments, it is observed that the estimators are equivalent, regardless their grade. Even if it’s a particular case, we can conclude that the asymptotic normality for the estimators of ...
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Torsion-adding and asymptotic winding number for periodic window sequences
... In parameter space of nonlinear dynamical systems, windows of periodic states are aligned following the routes of period-adding configuring periodic window sequences. In state space of driven nonlinear oscillators, we ...
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