Linear Differential Equations as a Data Structure
Sign Up to like & getrecommendations! Published in 2019 at "Foundations of Computational Mathematics"
DOI: 10.1007/s10208-018-09411-x
Abstract: A lot of information concerning solutions of linear differential equations can be computed directly from the equation. It is therefore natural to consider these equations as a data structure, from which mathematical properties can be… read more here.
Keywords: equations data; linear differential; differential equations; data structure ... See more keywords
Numerical Solution of a Two-Point Boundary-Value Problem for a System of Linear Differential Equations with Nonlinear Two-Dimensional Spectral Parameter
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-020-04790-5
Abstract: We study the possibility of application of the implicit-function method to the solution of two-point boundary-value problems for systems of linear differential equations with nonlinear two-dimensional spectral parameters appearing in the coefficients of this system… read more here.
Keywords: solution two; linear differential; boundary value; two point ... See more keywords
Operator-Orthoregressive Method for Identifying Coefficients of Linear Differential Equations
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-021-05237-1
Abstract: We propose an approach to identify coefficients of linear differential equations from observations of solutions with additive perturbations, based on the algebraic Fliess–Sira-Ramirez method combined with the orthogonal regression method in the space of observed… read more here.
Keywords: coefficients linear; method; differential equations; operator orthoregressive ... See more keywords
Non-linear Differential Equations and Rotating Disc Electrodes: Padé approximationTechnique
Sign Up to like & getrecommendations! Published in 2017 at "Electrochimica Acta"
DOI: 10.1016/j.electacta.2017.05.061
Abstract: Abstract Rotating disc electrodes are preferred devices to analyze electrochemical reactions in electrochemical cellsand various rotating machinery such as fans, turbines, and centrifugal pumps. This model contains system of fully coupled and highly non-linear equations.… read more here.
Keywords: non linear; linear differential; rotating disc; disc electrodes ... See more keywords
On equivalence of the second order linear differential operators, acting in vector bundles
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2020.103749
Abstract: Abstract The equivalence problem for linear differential operators of the second order, acting in vector bundles, is discussed. The field of rational invariants of symbols is described and connections, naturally associated with differential operators, are… read more here.
Keywords: differential operators; vector bundles; linear differential; acting vector ... See more keywords
Limit cycles created by piecewise linear centers.
Sign Up to like & getrecommendations! Published in 2019 at "Chaos"
DOI: 10.1063/1.5086018
Abstract: In the last few years, the interest for studying the piecewise linear differential systems has increased strongly, mainly due to their applications to many physical phenomena. In the study of these differential systems, the limit… read more here.
Keywords: differential systems; limit cycles; linear differential; piecewise linear ... See more keywords
Limit cycles in Filippov systems having a circle as switching manifold.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0082607
Abstract: It is known that planar discontinuous piecewise linear differential systems separated by a straight line have no limit cycles when both linear differential systems are centers. Here, we study the limit cycles of the planar… read more here.
Keywords: circle; discontinuous piecewise; differential systems; limit ... See more keywords
Iterative Learning Control for Linear Differential Systems With Additional Performance Requirements
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Access"
DOI: 10.1109/access.2020.3000252
Abstract: This paper develops the systematic procedure for designing of iterative learning control (ILC) algorithms through the differential repetitive process setting. This means that the proposed approach can be directly applied to plants with differential dynamics… read more here.
Keywords: differential systems; learning control; iterative learning; linear differential ... See more keywords
Design of Steerable Linear Differential Microphone Arrays With Omnidirectional and Bidirectional Sensors
Sign Up to like & getrecommendations! Published in 2023 at "IEEE Signal Processing Letters"
DOI: 10.1109/lsp.2023.3267969
Abstract: This letter is dedicated to the design of fully steerable linear differential microphone arrays (LDMAs). We analyze the steerable ideal spatial responses and explain why conventional LDMAs consisting of only omnidirectional microphones have limited steering… read more here.
Keywords: steerable linear; microphone arrays; omnidirectional bidirectional; differential microphone ... See more keywords
Gain-Scheduled Control of Linear Differential Inclusions Subject to Actuator Saturation
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Industrial Electronics"
DOI: 10.1109/tie.2018.2880702
Abstract: This paper focuses on the problem of robust stabilization of linear differential inclusions subject to actuator saturation. A continuous set of nonlinear controllers is constructed by a parameter-dependent convex hull Lyapunov function to avoid actuator… read more here.
Keywords: differential inclusions; linear differential; actuator saturation; actuator ... See more keywords
Functions Determined by the Lyapunov Exponents of Families of Linear Differential Systems Continuously Depending on the Parameter Uniformly on the Half-Line
Sign Up to like & getrecommendations! Published in 2017 at "Differential Equations"
DOI: 10.1134/s0012266117120011
Abstract: For families of n-dimensional linear differential systems (n ≥ 2) whose dependence on a parameter ranging in a metric space is continuous in the sense of the uniform topology on the half-line, we obtain a… read more here.
Keywords: differential systems; half line; functions determined; linear differential ... See more keywords