Results 31 to 40 of about 1,487,868 (225)
Syntheses of differential games and pseudo-Riccati equations
Abstract and Applied Analysis, 2002 For differential games of fixed duration of linear dynamical systems with nonquadratic payoff functionals, it is proved that the value and the optimal strategies as saddle point exist whenever the associated pseudo-Riccati equation has a regular solution
Yuncheng You
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ON RICCATI EQUATIONS IN ORDERED BANACH ALGEBRAS
Demonstratio Mathematica, 2002 Let \({\mathcal A}\) be a real Banach algebra with unit \(1\), ordered by an algebra cone \(K\) (i.e., \(1\in K\), \(K\cdot K\subseteq K\)). The authors consider the initial value problem \[ u'(t)= f(t, u(t)),\;u(0)= u_0\in{\mathcal A}\quad\text{for }0< t< T\leq\infty, \] with \(f:[0, T)\times{\mathcal A}\to{\mathcal A}\), \(f(t, x)= xa(t) x+ b_1(t)x ...
Herzog, Gerd, Lemmert, Roland
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Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
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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
Subspace‐Based System Identification From Binary Measurements
Asian Journal of Control, EarlyView.ABSTRACT This paper is concerned with subspace identification from binary measurements for systems whose dynamical behavior can be splited into a deterministic and a stochastic subsystem. An identification algorithm is detailed. The main contribution of the proposed identification algorithm lies in the identification of both the deterministic subsystem
Alex Ali Mestrah +2 more
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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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Numerical Solution of Projected Algebraic Riccati Equations [PDF]
SIAM Journal on Numerical Analysis, 2014 We consider the numerical solution of projected algebraic Riccati equations using Newton's method. Such equations arise, for instance, in model reduction of descriptor systems based on positive real and bounded real balanced truncation. We also discuss the computation of low-rank Cholesky factors of the solutions of projected Riccati equations ...
Peter Benner, Tatjana Stykel
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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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Newtons method with exact line search for solving the algebraic Riccati equation [PDF]
, 1998 This paper studies Newton's method for solving the algebraic Riccati equation combined with an exact line search. Based on these considerations we present a Newton{like method for solving algebraic Riccati equations. This method can improve the sometimes
Benner, P., Byers, R.
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