An Extension of a Lyapunov‐Function‐Based Discretization Method for Asymptotically Stable Homogeneous Systems
Sign Up to like & getrecommendations! Published in 2025 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.70290
Abstract: In this paper, we propose a family of discretization schemes that generalizes the Lyapunov‐function‐based scheme introduced in [49] for asymptotically stable homogeneous systems. We prove that if a convergent method with an order of consistency… read more here.
Keywords: function based; method; discretization; lyapunov function ... See more keywords
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
Sign Up to like & getrecommendations! Published in 2020 at "Neurocomputing"
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
Unified Passivity-Based Control for Turning and Walking in Asymptotically Stable Biped Robots
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DOI: 10.1109/access.2025.3600313
Abstract: Dynamically stable biped robots that mimic human movement have seen significant progress in straight walking, but turning and steering remain challenging. This paper presents a novel passivity-based method for turning control and steering in 3D… read more here.
Keywords: stable biped; passivity based; control; biped robots ... See more keywords
Control Barrier Function-Based Quadratic Programs Introduce Undesirable Asymptotically Stable Equilibria
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Control Systems Letters"
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
Sign Up to like & getrecommendations! Published in 2017 at "IEEE Transactions on Automatic Control"
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
Switching of Asymptotically Stable and Uniformly Ultimately Bounded Systems With Applications to Machine Vision
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2024.3376469
Abstract: This article addresses the stability of switching between a uniformly ultimately bounded (UUB) system and an asymptotically stable system with asymptotically decaying perturbation using multiple Lyapunov functions. It is proven that the switched system trajectories… read more here.
Keywords: system; stable uniformly; ultimately bounded; switching asymptotically ... See more keywords
Transformations of Linear Standard Systems to Positive Asymptotically Stable Linear Ones
Sign Up to like & getrecommendations! Published in 2024 at "International Journal of Applied Mathematics and Computer Science"
DOI: 10.61822/amcs-2024-0024
Abstract: Abstract New approaches to transformations of linear continuous-time systems to their positive asymptotically stable canonical controllable (observable) forms are proposed. It is shown that, if the system matrix is nonsingular, then the desired transformation matrix… read more here.
Keywords: standard systems; positive asymptotically; transformations linear; linear standard ... See more keywords