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1
Asymptotic Behavior of a Class of Evolution Variational Inequalities
Published 2012-01-01“…We establish a new LaSalle's invariance principle and discuss the asymptotic behavior of a class of first-order evolution variational inequalities.…”
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2
Mean Square Synchronization of Stochastic Nonlinear Delayed Coupled Complex Networks
Published 2013-01-01“…Based on the LaSalle invariance principle and the properties of the Weiner process, the controller and adaptive laws are designed to ensure achieving stochastic synchronization and topology identification of complex networks. …”
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3
Global stability of a multiple delayed viral infection model with general incidence rate and an application to HIV infection
Published 2014-12-01“…By using the Lyapunov functional and LaSalle invariance principle, the global stabilities of the infection-free equilibrium and the endemic equilibrium are obtained. …”
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4
An SIR Epidemic Model with Time Delay and General Nonlinear Incidence Rate
Published 2014-01-01“…By constructing Lyapunov functionals and using the Lyapunov-LaSalle invariance principle, the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium is obtained. …”
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5
Nonlinear Integral Sliding Mode Control for a Second Order Nonlinear System
Published 2015-01-01“…Furthermore, the proposed scheme ensures the zero steady-state error in the presence of a constant disturbance or an asymptotically constant disturbance is proved by Lyapunov stability theory and LaSalle invariance principle. Finally, both the theoretical analysis and simulation examples demonstrate the validity of the proposed scheme.…”
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6
A note on global stability for malaria infections model with latencies
Published 2014-02-01“…The approach used here, is to use a direct Lyapunov functional and Lyapunov-LaSalle invariance principle.…”
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7
Stability of Virus Infection Models with Antibodies and Chronically Infected Cells
Published 2014-01-01“…By constructing Lyapunov functions and using LaSalle's invariance principle, we have established the global asymptotic stability of all steady states of the models. …”
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8
A weak invariance principle and asymptotic stability for evolution equations with bounded generators
Published 1995-01-01“…The proof is based on an extension of LaSalle's invariance principle, which yields convergence in a weak topology and uses a strongly continuous Lyapunov function. …”
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9
Sveir epidemiological model with varying infectivity and distributed delays
Published 2011-05-01“…Byemploying direct Lyapunov method and LaSalle's invariance principle,we construct appropriate functionals that integrate over past statesto establish global asymptotic stability conditions, which arecompletely determined by the basic reproduction number$\mathcal{R}_0^V$. …”
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10
Global Stability and Hopf Bifurcation of a Predator-Prey Model with Time Delay and Stage Structure
Published 2014-01-01“…By using Lyapunov functions and the LaSalle invariant principle, the global stability of each of the feasible equilibria of the model is discussed. …”
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11
Almost Sure Stability of Stochastic Neural Networks with Time Delays in the Leakage Terms
Published 2016-01-01“…By using the LaSalle invariant principle of stochastic delay differential equations, Itô’s formula, and stochastic analysis theory, some novel sufficient conditions are derived to guarantee the almost sure stability of the equilibrium point. …”
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12
Global Dynamics of HIV Infection of CD4+ T Cells and Macrophages
Published 2013-01-01“…Using Lyapunov functionals and LaSalle's invariant principle, we have proven that if the basic reproduction number R0 is less than or equal to unity, then the uninfected steady state is globally asymptotically stable (GAS), and if the infected steady state exists, then it is GAS.…”
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