Results 21 to 30 of about 135,095 (252)
The non-symmetric discrete algebraic Riccati equation and canonical factorization of rational matrix functions on the unit circle. [PDF]
, 2010 Canonical factorization of a rational matrix function on the unit circle is described explicitly in terms of a stabilizing solution of a discrete algebraic Riccati equation using a special state space representation of the symbol.
A. C. M. Ran +9 more
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Analytic solution of Riccati equations occurring in open-loop Nash multiplayer differential games
International Journal of Mathematics and Mathematical Sciences, 1992 In this paper we present explicit analytic solutions of coupled Riccati matrix differential systems appearing in open-loop Nash games. Two different cases are considered. Firstly, by means of appropriate algebraic transformations the problem is decoupled
L. Jódar, E. Navarro
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Advances in Difference Equations, 2017 We apply the Chebyshev polynomial-based differential quadrature method to the solution of a fractional-order Riccati differential equation. The fractional derivative is described in the Caputo sense.
Jianhua Hou, Changqing Yang
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Families of solutions of algebraic Riccati equations [PDF]
Systems & Control Letters, 2019 We consider Homogeneous Algebraic Riccati Equations in the general situation when the matrix of the dynamics can be "mixed". We show that in this case the equation may have infinitely many families of solutions. An analysis of these families is carried over and explicit formulas are derived. We also derive sufficient conditions under which the union of
Alpago, Daniele, Ferrante, Augusto
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Hamiltonians with Riesz Bases of Generalised Eigenvectors and Riccati Equations [PDF]
, 2010 An algebraic Riccati equation for linear operators is studied, which arises in systems theory. For the case that all involved operators are unbounded, the existence of infinitely many selfadjoint solutions is shown. To this end, invariant graph subspaces
Wyss, Christian
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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 ...
Benner, Peter, Stykel, Tatjana
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, 2016 : This paper presents an analytical approach for solving the weighting matrices selection problem of a linear quadratic regulator (LQR) for the trajectory tracking application of a magnetic levitation system. One of the challenging problems in the design
V. Kumare, J. Jerome
semanticscholar +1 more source
Journal of Mathematics, 2020 The Riccati differential equation is a well-known nonlinear differential equation and has different applications in engineering and science domains, such as robust stabilization, stochastic realization theory, network synthesis, and optimal control, and ...
Xin Liu, Kamran, Yukun Yao
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On positive realness of descriptor systems [PDF]
, 2002 In this brief, the positive realness of descriptor systems is studied. For the continuous-time case, two positive real lemmas are given, based on a generalized algebraic Riccati equation and inequality respectively.
Lam, J, Xu, S, Zhang, L
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, 2015 In this paper, applying the properties of matrix Schur complement and matrix inverse, via some matrix equalities and inequalities, we present new lower and upper solution bounds of the discrete algebraic Riccati equation.
Juan Zhang, Jianzhou Liu
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