Sensitivity analysis of fractional order SVEIR Lumpy Skin Disease model by Savita Rathee, Yogeeta Narwal, Komal Bansal, Homan Emadifar

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A weak invariance principle and asymptotic stability for evolution equations with bounded generators by E. N. Chukwu, P. Smoczynski

“…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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Dynamic analysis and optimal control of a hybrid fractional monkeypox disease model in terms of external factors by Saima Rashid, Abdul Bariq, Ilyas Ali, Sobia Sultana, Ayesha Siddiqa, Sayed K. Elagan

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Asymptotic Behavior of a Class of Evolution Variational Inequalities by Ailing Qi

“…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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Global Stability for Novel Complicated SIR Epidemic Models with the Nonlinear Recovery Rate and Transfer from Being Infectious to Being Susceptible to Analyze the Transmission of C... by Fehaid Salem Alshammari, F. Talay Akyildiz

“…A nonlinear Lyapunov function is used together with LaSalle’s invariance principle to show that the endemic equilibrium is globally asymptotically stable under some conditions. …”
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Mean Square Synchronization of Stochastic Nonlinear Delayed Coupled Complex Networks by Chengrong Xie, Yuhua Xu, Dongbing Tong

“…We investigate the problem of adaptive mean square synchronization for nonlinear delayed coupled complex networks with stochastic perturbation. 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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Stability and Bifurcation Analysis on an Ecoepidemiological Model with Stage Structure and Time Delay by Lingshu Wang, Guanghui Feng

“…By means of appropriate Lyapunov functions and LaSalle’s invariance principle, sufficient conditions are obtained for the global stability of the semitrivial boundary equilibria. …”
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Global stability of a multiple delayed viral infection model with general incidence rate and an application to HIV infection by Yu Ji

“…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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An SIR Epidemic Model with Time Delay and General Nonlinear Incidence Rate by Mingming Li, Xianning Liu

“…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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Dynamics of a Viral Infection Model with General Contact Rate between Susceptible Cells and Virus Particles by Chenxi Dai, Cui Ma, Lijuan Song, Kaifa Wang

“…If the basic reproduction number of the virus is less than unity, by LaSalle’s invariance principle, the disease-free equilibrium is globally asymptotically stable. …”
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Robust Linear Neural Network for Constrained Quadratic Optimization by Zixin Liu, Yuanan Liu, Lianglin Xiong

“…Utilizing linear matrix inequality (LMI) technique, eigenvalue perturbation theory, Lyapunov-Razumikhin method, and LaSalle’s invariance principle, some stable criteria for the related models are also established. …”
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Nonlinear Integral Sliding Mode Control for a Second Order Nonlinear System by Xie Zheng, Xie Jian, Du Wenzheng, Cheng Hongjie

“…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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Global Dynamics of Secondary DENV Infection with Diffusion by A. M. Elaiw, A. S. Alofi

“…We study the global stability of all equilibria based on the construction of suitable Lyapunov functions and usage of Lyapunov–LaSalle’s invariance principle (LLIP). Last, numerical simulations are carried out in order to verify the validity of our theoretical results.…”
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A note on global stability for malaria infections model with latencies by Jinliang Wang, Jingmei Pang, Toshikazu Kuniya

“…The approach used here, is to use a direct Lyapunov functional and Lyapunov-LaSalle invariance principle.…”
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Stability of Virus Infection Models with Antibodies and Chronically Infected Cells by Mustafa A. Obaid, A. M. Elaiw

“…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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Sveir epidemiological model with varying infectivity and distributed delays by Jinliang Wang, Gang Huang, Yasuhiro Takeuchi, Shengqiang Liu

“…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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Computational Study of a Fractional-Order HIV Epidemic Model with Latent Phase and Treatment by Sana Abdulkream Alharbi, Nada A. Almuallem

“…We analyze the model’s global asymptotic stability using the Lyapunov function and LaSalle’s invariance principle. To identify the primary factors affecting the dynamics of HIV/AIDS, a sensitivity analysis of the model parameters is conducted. …”
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Advanced Control for Shipboard Cranes with Asymmetric Output Constraints by Mingxuan Cao, Meng Xu, Yongqiao Gao, Tianlei Wang, Anan Deng, Zhenyu Liu

“…Finally, the asymptotic stability is proven using LaSalle’s invariance principle. The simulation comparison results indicate that the proposed method exhibits satisfactory performance in swing suppression control and output constraints. …”
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Distributed Passivity-Based Control for Multiple Space Manipulators Holding Flexible Beams by Ti Chen, Yue Cao, Mingyan Xie, Shihao Ni, Enchang Zhai, Zhengtao Wei

“…The stability of the proposed controller is analyzed with LaSalle’s invariance principle. Numerical simulations and experiments are conducted to show the effectiveness of the designed controllers.…”
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Co-dynamics of hepatitis B and C viruses under the influence of CTL immunity by A.M. Elaiw, GH.S. Alsaadi, A.A. Raezah, A.D. Hobiny

“…The global stability of all equilibria is proven using Lyapunov’s method combined with LaSalle’s invariance principle. The theoretical findings are further supported and validated through numerical simulations. …”
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