Results 11 to 20 of about 794 (179)
Nonlinear Suboptimal Tracking Controller Design Using State-Dependent Riccati Equation Technique
IEEE Transactions on Control Systems Technology, 2017 In this brief, a new technique for solving a suboptimal tracking problem for a class of nonlinear dynamical systems is presented. Toward this end, an optimal tracking problem using a discounted cost function is defined and a control law with a feedback-feedforward structure is designed.
Yazdan Batmani +2 more
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Riccati Techniques and Variational Principles in Oscillation Theory for Linear Systems [PDF]
Transactions of the American Mathematical Society, 1987 We consider the seond order differential system ( 1 ) Y + Q ( t ) Y = 0 (1)\,Y + Q(t)Y = 0 , where Q Q , Y Y are n × n n \times n matrices with Q =
Butler, G. J. +2 more
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Riccati techniques and discrete oscillations
Journal of Mathematical Analysis and Applications, 1989 The paper deals with the oscillatory and nonoscillatory properties of the self-adjoint second-order difference equation \(\Delta (r_ n\Delta x_ n)+p_ nx_{n+1}=0,\) \(n\geq 0\) where \(\Delta\) is the forward difference operator \(\Delta x_ n=x_{n+1}-x_ n,\) and \(r_ n,p_ n\) are sequences of real numbers with \(r_ n>0,\) \(n=0,1,2\).
Chen, Shaozhu, Erbe, Lynn H.
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Approximate Analytical Solution for Quadratic Riccati Differential Equation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2013 In this paper, we introduce an efficient method for solving the quadratic Riccati differential equation. In this technique, combination of Laplace transform and new homotopy perturbation methods (LTNHPM) are considered as an algorithm to the exact ...
H. Aminikhah
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International Journal of Advanced Robotic Systems, 2023 This article presents a novel learning-based optimal control approach for dynamic control of continuum robots. Working and interacting with a confined and unstructured environment, nonlinear coupling, and dynamic uncertainty are only some of the ...
Mohammadamin Samadi Khoshkho +2 more
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Mathematics, 2023 The stability of nonlinear systems in the control domain has been extensively studied using different versions of the algebraic Riccati equation (ARE). This leads to the focus of this work: the search for the time-varying quaternion ARE (TQARE) Hermitian
Houssem Jerbi +6 more
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Open Mathematics, 2018 The paper belongs to the qualitative theory of half-linear equations which are located between linear and non-linear equations and, at the same time, between ordinary and partial differential equations.
Hasil Petr, Veselý Michal
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Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]
Opuscula MathematicaIn this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
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Applied Sciences, 2021 This paper presents modeling and infinite-time suboptimal control of a quadcopter device using the state-dependent Riccati equation (SDRE) method. It establishes a solution to the control problem using SDRE and proposes a new procedure for solving the ...
Sławomir Stępień +1 more
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Abstract and Applied Analysis, 2012 We introduce a new method for solving Riccati differential equations, which is based on reproducing kernel method and quasilinearization technique. The quasilinearization technique is used to reduce the Riccati differential equation to a sequence of ...
F. Z. Geng, X. M. Li
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