Results 11 to 20 of about 269,153 (284)
Stability Analysis of Linear Uncertain Differential Equations [PDF]
Industrial Engineering and Management Systems, 2013 Uncertainty theory is a branch of mathematics based on normolity, duality, subadditivity and product axioms. Uncertain process is a sequence of uncertain variables indexed by time. Canonical Liu process is an uncertain process with stationary and independent increments. And the increments follow normal uncertainty distributions.
Xiaowei Chen, Jinwu Gao
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Robust identification and fault diagnosis based on uncertain multiple input–multiple output linear parameter varying parity equations and zonotopes [PDF]
Journal of Process Control, 2012 We present a robust fault diagnosis method for uncertain multiple input-multiple output (MIMO) linear parameter varying (LPV) parity equations. The fault detection methodology is based on checking whether measurements are inside the prediction bounds provided by the uncertain MIMO LPV parity equations.
Blesa Izquierdo, Joaquim +2 more
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Nonlinear Analysis, 2022 General fractional calculus is popular recently. Fractional uncertain differential equations (FUDEs) with general memory effects are proposed in this paper.
Cheng Luo, Guo-Cheng Wu, Lan-Lan Huang
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Robust Solutions for Systems of Uncertain Linear Equations [PDF]
SSRN Electronic Journal, 2015 Our contribution is twofold. Firstly, for a system of uncertain linear equations where the uncertainties are column-wise and reside in general convex sets, we show that the intersection of the set of possible solutions and any orthant is convex. We derive a convex representation of this intersection to calculate the ranges of the coordinates. Secondly,
Zhen, Jianzhe, den Hertog, Dick
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On the Active Vibration Control of Nonlinear Uncertain Structures [PDF]
Journal of Applied and Computational Mechanics, 2021 This study proposes an active nonlinear control strategy for effective vibration mitigation in nonlinear dynamical systems characterized by uncertainty.
Vasilis K. Dertimanis +2 more
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Split and Merge Strategies for Solving Uncertain Equations Using Affine Arithmetic [PDF]
EAI Endorsed Transactions on Industrial Networks and Intelligent Systems, 2016 The behaviour of systems is determined by various parameters. Due to several reasons like e. g. manufacturing tolerances these parameters can have some uncertainties.
Oliver Scharf +2 more
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Optimal Control for a Multistage Uncertain Random System
IEEE Access, 2023 Chance theory is a mathematical methodology for modelling complex systems including both uncertainty and randomness. Based on chance theory, this paper introduces the optimal control model for a multistage uncertain random system.
Xin Chen, Ting Jin
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Mathematics, 2022 This paper deals with the stabilization of a class of uncertain nonlinear ordinary differential equations (ODEs) with a dynamic controller governed by a linear 1−d heat partial differential equation (PDE).
Mohsen Dlala, Abdallah Benabdallah
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Valuation of cash flows under random rates of interest: A linear algebraic approach [PDF]
, 2007 This paper reformulates the classical problem of cash flow valuation under stochastic discount factors into a system of linear equations with random perturbations. Using convergence results, a sequence of uniform approximations is developed.
Date, P, Mamon, R, Wang, C
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Modeling and Verification of Uncertain Cyber-Physical System Based on Decision Processes
Mathematics, 2023 Currently, there is uncertainty in the modeling techniques of cyber-physical systems (CPS) when faced with the multiple possibilities and distributions of complex system behavior.
Na Chen, Shengling Geng, Yongming Li
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