Results 41 to 50 of about 14,195 (209)
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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An exponential spline for solving the fractional riccati differential equation
پژوهشهای ریاضی, 2022 In this Article, proposes an approximation for the solution of the Riccati equation based on the use of exponential spline functions. Then the exponential spline equations are obtained and the differential equation of the fractional Riccati is ...
reza jalilian, hooman emadifar
doaj
Refined Upper Solution Bound of the Continuous Coupled Algebraic Riccati Equation
Complexity, 2020 The continuous coupled algebraic Riccati equation (CCARE) has wide applications in control theory and linear systems. In this paper, by a constructed positive semidefinite matrix, matrix inequalities, and matrix eigenvalue inequalities, we propose a new ...
Li Wang
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IEEE Access, 2021 Nowadays, the discrete algebraic matrix Riccati equation (DAMRE) is widely used in control system theory, engineering application, etc. In order to solve the problem with the high accuracy of DAMRE, a large number of researchers have achieved great ...
Siyuan Liao +3 more
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A hidden Markov model and reinforcement learning‐based strategy for fault‐tolerant control
The Canadian Journal of Chemical Engineering, EarlyView.Abstract This study introduces a data‐driven control strategy integrating hidden Markov models (HMM) and reinforcement learning (RL) to achieve resilient, fault‐tolerant operation against persistent disturbances in nonlinear chemical processes. Called hidden Markov model and reinforcement learning (HMMRL), this strategy is evaluated in two case studies
Tamera Leitao +2 more
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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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Upper bounds on the solution of coupled algebraic riccati equation
Journal of Inequalities and Applications, 2001 Upper bounds for eigenvalues of a solution to continuous time coupled algebraic Riccati equation (CCARE) and discrete time coupled algebraic Riccati equation (DCARE) are developed as special cases of bounds for the unified coupled algebraic Riccati ...
Czornik Adam, Świerniak Andrzej
doaj
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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ON DETERMINATION OF SOLUTION OF UNILATERAL QUADRATIC MATRIX EQUATION
Міжнародний науково-технічний журнал "Проблеми керування та інформатики"Usually used for finding the solutions of discrete algebraic Riccati equation, the method of doubling transformation is generalized on the case of unilateral quadratic matrix equation. On the examples, the efficiency of the offered algorithm of solution
V.B. Larin
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Some Upper Matrix Bounds for the Solution of the Continuous Algebraic Riccati Matrix Equation
Journal of Applied Mathematics, 2013 We propose diverse upper bounds for the solution matrix of the continuous algebraic Riccati matrix equation (CARE) by building the equivalent form of the CARE and using some matrix inequalities and linear algebraic techniques.
Zübeyde Ulukök, Ramazan Türkmen
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