Hypercomplex Quaternions and Higher-Order Analysis of Spatial Kinematic Chains

[1] Müller A., An overview of formulae for the higher-order kinematics of lower-pair chains with applications in robotics and mechanism theory, Mech. Mach. Theory 142 (2019) 103594. Search in Google Scholar

[2] Müller A., An O(n)-Algorithm for the Higher-Order Kinematics and Inverse Dynamics of Serial Manipulators Using Spatial Representation of Twists, in IEEE Robotics and Automation Letters6(2) (2021) 397-404. Search in Google Scholar

[3] Condurache D., Burlacu A., Orthogonal dual tensor method for solving the AX=XB sensor calibration problem, Mech. Mach. Theory, 104 (2016) 382–404. Search in Google Scholar

[4] Condurache D., Higher-order kinematics of rigid bodies: a tensors algebra approach, In: Interdisciplinary Applications of Kinematics. Mechanisms and Machine Science 71, Springer, Cham (2019). Search in Google Scholar

[5] Condurache D., Higher-order relative kinematics of rigid body motions: a dual Lie algebra approach, In: Advances in Robot Kinematics 2018, ARK 2018 8, Springer, Cham (2019). Search in Google Scholar

[6] Condurache D., Multidual Algebra and Higher-Order Kinematics, New Trends in Mechanism and Machine, Mechanisms and Machine Science 89, Springer, Cham, (2020) 48-55. Search in Google Scholar

[7] Condurache D., Higher-Order Relative Kinematics of Rigid Body, and Multibody Systems, A Novel Approach with Real and Dual Lie Algebras, Mech. Mach. Theory, vol. 176, 104999 (2022). Search in Google Scholar

[8] Condurache D., Higher-Order Kinematics of Lower-Pair Chains with Hyper-Multidual Algebra, ASME 2022 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE2022), August 14 - 17, in St. Louis, Missouri (2022). Search in Google Scholar

[9] Cohen A. and Shoham M., Application of Hyper-Dual Numbers to Multibody Kinematics, ASME. J. Mechanisms Robotics 8(1) (2016) 011015. Search in Google Scholar

[10] Messelmi F., Analysis of Dual Functions, Annual Review of Chaos Theory, Bifurcations and Dynamical Systems 4 (2013) 37-54. Search in Google Scholar

[11] Messelmi F., Multidual numbers and their multidual functions, Electron. J. Math. Anal. Appl. 3(2) (2015) 154–172. Search in Google Scholar

[12] Messelmi F., Differential Calculus of Multidual Functions, Annual Review of Chaos Theory, Bifurcations and Dynamical Systems 10 (2021) 1-15. Search in Google Scholar