Results 31 to 40 of about 262,161 (280)
An Algebraic Approach to Identifiability
Algorithms, 2021 This paper addresses the problem of identifiability of nonlinear polynomial state-space systems. Such systems have already been studied via the input-output equations, a description that, in general, requires differential algebra.
Daniel Gerbet, Klaus Röbenack
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Classical planar algebraic curves realizable by quadratic polynomial differential systems [PDF]
, 2017 In this paper we show planar quadratic polynomial differentialsystems exhibiting as solutions some famous planar invariant algebraic curves. Also we put particular attention to the Darboux integrability of these differential systems.The author is ...
García, I. A. (Isaac A.), Llibre, Jaume
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The Kalman-Yakubovich-Popov lemma in a behavioural framework [PDF]
, 1997 The classical Kalman-Yakubovich-Popov Lemma provides a link between dissipativity of a system in state-space form and the solution to a linear matrix inequality.
Geest, Robert van der, Trentelman, Harry
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The role of algebraic solutions in planar polynomial differential systems [PDF]
, 2005 We study a planar polynomial differential system, given by \dot{x}=P(x,y), \dot{y}=Q(x,y). We consider a function I(x,y)=\exp \{h_2(x) A_1(x,y) \diagup A_0(x,y) \} h_1(x) \prod_{i=1}^{\ell} (y-g_i(x))^{\alpha_i}, where g_i(x) are algebraic functions, A_1(
Giacomini, Héctor +2 more
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Axioms, 2022 This paper discusses the robust stability and stabilization of polynomial fractional differential (PFD) systems with a Caputo derivative using the sum of squares. In addition, it presents a novel method of stability and stabilization for PFD systems.
Hassan Yaghoubi +2 more
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Limit cycles for generalized Kukles polynomial differential systems [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2011 We study the limit cycles of generalized Kukles polynomial differential systems using averaging theory of first and second order.
Llibre, Jaume, Mereu, Ana Cristina
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On the uniqueness of algebraic limit cycles for quadratic polynomial differential systems with two pairs of equilibrium points at infinity [PDF]
, 2017 Agraïments: The second author is partially supported by FCT/Portugal through UID/MAT/04459/2013.Algebraic limit cycles in quadratic polynomial differential systems started to be studied in 1958, and few years later the following conjecture appeared ...
Llibre, Jaume, Valls, Clàudia
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Noises for Impulsive Differential Systems
IEEE Access, 2019 Stochastic feedback control has aroused folks’ notice, but little is known on the roles of stochastic noises for the dynamic behavior of impulsive differential systems.
Shengnan Hao +3 more
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Regular polynomial interpolation and approximation of global solutions of linear partial differential equations [PDF]
, 2007 We consider regular polynomial interpolation algorithms on recursively defined sets of interpolation points which approximate global solutions of arbitrary well-posed systems of linear partial differential equations.
Kampen, Joerg
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Polynomial Systems from Certain Differential Equations
Journal of Symbolic Computation, 1999 For the well-known Kukles system: \[ \dot x= y,\quad\dot y= -x+ a_{20}x^2+ a_{11}xy+ a_{02}y^2+ a_{30}x^3+ a_{21}x^2y+ a_{12}xy^2+ a_{03}y^3,\tag{1} \] \textit{I. S. Kukles} [Trudy tret'ego vsesojuzn. mat. S''ezda, Moskva, Ijuń-Ijul' 1956, 3, 81-91 (1958; Zbl 0089.06302)], \textit{L. A. Cherkas} [Differ. Equations 14, 1133-1138 (1978; Zbl 0423.34042)],
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