Results 11 to 20 of about 9,613,117 (241)
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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Oscillation Criteria for PDE with p-Laplacian via the Riccati Technique
Journal of Mathematical Analysis and Applications, 2000 The aim of this paper is to give some oscillation criteria for the following partial differential equation (PDE) with \(p\)-Laplacian: \[ \text{div}(\|\nabla u\|^{p-2}\nabla u)+ c(x)\phi(u)=0,\tag{1} \] where \(p>1\) and \(\phi(u)=|u|^{p-2}u\). The equation (1) is said to be oscillatory if every solution \(u\) is oscillatory, i.e., \(u\) has a zero in \
R. Mařík
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A reduction technique for discrete generalized algebraic and difference Riccati equations [PDF]
Linear and Multilinear Algebra, 2013 This paper proposes a reduction technique for the generalized Riccati difference equation arising in optimal control and optimal filtering. This technique relies on a study on the generalized discrete algebraic Riccati equation. In particular, an analysis on the eigenstructure of the corresponding extended symplectic pencil enables to identify a ...
FERRANTE, AUGUSTO +1 more
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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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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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A subspace shift technique for nonsymmetric algebraic Riccati equations associated with an M‐matrix [PDF]
Numerical Linear Algebra with Applications, 2012 SUMMARYThe worst situation in computing the minimal nonnegative solution of a nonsymmetric algebraic Riccati equation associated with an M‐matrix occurs when the corresponding linearizing matrix has two very small eigenvalues, one with positive and one with negative real part.
IANNAZZO, Bruno, Federico Poloni
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Riccati technique for oscillation of half-linear/Emden-Fowler neutral dynamic equations
Journal of Mathematics and Computer Science, 2022 By using the Riccati technique, which reduces the higher order dynamic equations to a Riccati dynamic inequality, we will establish some new sufficient conditions for the oscillation of half-linear/Emden-Fowler neutral dynamic equation of the ...
S. Saker +3 more
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Approximate solution for quadratic Riccati differential equation
Journal of Taibah University for Science, 2017 The quadratic Riccati differential equations are a class of nonlinear differential equations of much importance, and play a significant role in many fields of applied science.
Fateme Ghomanjani, Esmaile Khorram
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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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