Cycles in asymptotically stable and chaotic fractional maps
Sign Up to like & getrecommendations! Published in 2021 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-021-06379-2
Abstract: The presence of the power-law memory is a significant feature of many natural (biological, physical, etc.) and social systems. Continuous and discrete fractional calculus is the instrument to describe the behavior of systems with the… read more here.
Keywords: periodic points; stable chaotic; asymptotically periodic; asymptotically stable ... See more keywords
Asymptotically stable critic designs for approximate optimal stabilization of nonlinear systems subject to mismatched external disturbances
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DOI: 10.1016/j.neucom.2018.08.092
Abstract: Abstract This paper addresses approximate optimal stabilization problems for nonlinear systems in the presence of mismatched external disturbances via asymptotically stable critic designs. By establishing the nonlinear disturbance observer, the corresponding information is utilized to… read more here.
Keywords: optimal stabilization; approximate optimal; asymptotically stable; mismatched external ... See more keywords
Uniqueness and stability of periodic solutions for an interactive wild and Wolbachia-infected male mosquito model
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Biological Dynamics"
DOI: 10.1080/17513758.2022.2037760
Abstract: We investigate a mosquito population suppression model, which includes the release of Wolbachia-infected males causing incomplete cytoplasmic incompatibility (CI). The model consists of two sub-equations by considering the density-dependent birth rate of wild mosquitoes. By… read more here.
Keywords: asymptotically stable; globally asymptotically; uniqueness stability; wolbachia infected ... See more keywords
Control Barrier Function-Based Quadratic Programs Introduce Undesirable Asymptotically Stable Equilibria
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DOI: 10.1109/lcsys.2020.3004797
Abstract: Control Lyapunov functions (CLFs) and control barrier functions (CBFs) have been used to develop provably safe controllers by means of quadratic programs (QPs), guaranteeing safety in the form of trajectory invariance with respect to a… read more here.
Keywords: barrier function; control; control barrier; quadratic programs ... See more keywords
Realization and Discretization of Asymptotically Stable Homogeneous Systems
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DOI: 10.1109/tac.2017.2699284
Abstract: Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the explicit and implicit Euler integration schemes. It is shown that the explicit… read more here.
Keywords: realization discretization; asymptotically stable; euler; homogeneous systems ... See more keywords