Results 41 to 50 of about 28,358 (207)
Asian Journal of Control, EarlyView.Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
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Boundary Value Problems, 2022 In this paper, we discuss the oscillatory behavior of solutions of a class of Super-linear fourth-order differential equations with several sub-linear neutral terms using the Riccati and generalized Riccati transformations.
A. A. El-Gaber +2 more
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Planar nonautonomous polynomial equations: The Riccati equation
Journal of Differential Equations, 2008 The problem on the existence of \(T\)-periodic solutions of Riccati equations of the form \[ \dot z=a(t)z^2+b(t)z+c(t) \] in the complex plane, where \(a\), \(b\), and \(c\) are \(T\)-periodic, is considered. The main theorems present results on the existence of two such solutions.
openaire +3 more sources
The Canadian Journal of Chemical Engineering, EarlyView.Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
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Linear and Riccati matrix equations
International Journal of Mathematics and Mathematical Sciences, 1989 In this paper we find exact solutions for linear ordinary differential equations of any order when they are given in matrix form, as well as for classes of Riccati matrix equations with two or three arbitrary matrix coefficients.
Lloyd K. Williams
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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Integrability of Lie systems through Riccati equations
, 2011 Integrability conditions for Lie systems are related to reduction or transformation processes. We here analyse a geometric method to construct integrability conditions for Riccati equations following these approaches.
Allen J. L. +37 more
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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
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Oscillation criteria for nonlinear differential equations with $p(t)$-Laplacian [PDF]
Mathematica Bohemica, 2016 Recently there has been an increasing interest in studying $p(t)$-Laplacian equations, an example of which is given in the following form (|u'(t)|^{p(t)-2}u'(t))'+c(t)|u(t)|^{q(t)-2}u(t)= 0, \quad t>0.
Yutaka Shoukaku
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Six-vertex model and non-linear differential equations I. Spectral problem
, 2017 In this work we relate the spectral problem of the toroidal six-vertex model's transfer matrix with the theory of integrable non-linear differential equations.
Galleas, W.
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