Results 11 to 20 of about 14,195 (209)
On Riccati Equations in Banach Algebras [PDF]
SIAM Journal on Control and Optimization, 2011 Let $R$ be a commutative complex Banach algebra with the involution $\cdot ^\star$ and suppose that $A\in R^{n\times n}$, $B\in R^{n\times m}$, $C\in R^{p\times n}$. The question of when the Riccati equation $$ PBB^\star P-PA-A^\star P-C^\star C=0 $$ has a solution $P\in R^{n\times n}$ is investigated.
Curtain, Ruth, Sasane, Amol
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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
Daniele Alpago, Augusto Ferrante
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Nonrecursive solution for the discrete algebraic Riccati equation and X + A*X-1A=L
Open Mathematics, 2015 In this paper, we present two new algebraic algorithms for the solution of the discrete algebraic Riccati equation. The first algorithm requires the nonsingularity of the transition matrix and is based on the solution of a standard eigenvalue problem for
Adam Maria, Assimakis Nicholas
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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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Different applications of RRE on nonsymmetric algebraic Riccati equation in transport theory [PDF]
MATEC Web of Conferences, 2019 This paper proposes three different ways of applying a vector extrapolation method to a slow converging vector sequence to accelerate the convergence. The solution of this vector sequence is used to solve an algebraic Riccati equation in transport theory.
El Moallem Rola, Sadok Hassane
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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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A Collocation Method for Solving Fractional Riccati Differential Equation
Journal of Applied Mathematics, 2013 We have introduced a Taylor collocation method, which is based on collocation method for solving fractional Riccati differential equation with delay term.
Yalçın Öztürk +3 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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Optimal adaptive leader-follower consensus of linear multi-agent systems: Known and unknown dynamics [PDF]
Journal of Artificial Intelligence and Data Mining, 2015 In this paper, the optimal adaptive leader-follower consensus of linear continuous time multi-agent systems is considered. The error dynamics of each player depends on its neighbors’ information.
F. Tatari, M. B. Naghibi-Sistani
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