Results 81 to 90 of about 14,195 (209)
Six-vertex model and non-linear differential equations I. Spectral problem
, 2017 In this work we relate the spectral problem of the toroidal six-vertex model's transfer matrix with the theory of integrable non-linear differential equations.
Galleas, W.
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Engineering Reports, Volume 8, Issue 2, February 2026.Explore the soliton solutions, stability, and chaotic characteristics of the M fractional (3+1)‐dimensional generalized B‐type Kadomtsev–Petviashvili (gBKP) equation, where a Galilean transformation is performed to get the related system of equations.
Md. Habibul Bashar +5 more
wiley +1 more source
A theory of the infinite horizon LQ-problem for composite systems of PDEs with boundary control
, 2012 We study the infinite horizon Linear-Quadratic problem and the associated algebraic Riccati equations for systems with unbounded control actions. The operator-theoretic context is motivated by composite systems of Partial Differential Equations (PDE ...
Acquistapace P. +8 more
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Multi‐Objective Robust Controller Synthesis With Integral Quadratic Constraints in Discrete‐Time
International Journal of Robust and Nonlinear Control, Volume 36, Issue 3, Page 935-954, February 2026.ABSTRACT This article presents a novel framework for the robust controller synthesis problem in discrete‐time systems using dynamic Integral Quadratic Constraints (IQCs). We present an algorithm to minimize closed‐loop performance measures such as the ℋ∞$$ {\mathscr{H}}_{\infty } $$‐norm, the energy‐to‐peak gain, the peak‐to‐peak gain, or a ...
Lukas Schwenkel +4 more
wiley +1 more source
On Hilbert-Schmidt norm convergence of Galerkin approximation for operator Riccati equations [PDF]
An abstract approximation framework for the solution of operator algebraic Riccati equations is developed. The approach taken is based on a formulation of the Riccati equation as an abstract nonlinear operator equation on the space of Hilbert-Schmidt ...
Rosen, I. G.
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The solution set of the algebraic Riccati equation and the algebraic Riccati inequality
Linear Algebra and its Applications, 1991 The author presents a way of parametrizing the set of Hermitian solutions of both the algebraic Riccati equation (ARE) and the algebraic Riccati inequality (ARI), and also provides necessary and sufficient conditions for the existence of a maximal (minimal) solution of the ARE or the ARI, in the whole set of solutions.
openaire +1 more source
IET Control Theory & ApplicationsThis paper proposes explicit solutions for the algebraic Riccati matrix equation. For single‐input systems in controllable canonical form, the explicit Hermitian solutions of the non‐homogeneous Riccati equation are obtained using the entries of the ...
Liangyin Zhang +3 more
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The Extended Hamiltonian Algorithm for the Solution of the Algebraic Riccati Equation
Journal of Applied Mathematics, 2014 We use a second-order learning algorithm for numerically solving a class of the algebraic Riccati equations. Specifically, the extended Hamiltonian algorithm based on manifold of positive definite symmetric matrices is provided.
Zhikun Luo, Huafei Sun, Xiaomin Duan
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Algebraic methods for the solution of some linear matrix equations [PDF]
The characterization of polynomials whose zeros lie in certain algebraic domains (and the unification of the ideas of Hermite and Lyapunov) is the basis for developing finite algorithms for the solution of linear matrix equations. Particular attention is
Djaferis, T. E., Mitter, S. K.
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On the Solution of the Rational Matrix Equation X=Q+LX−1LT
EURASIP Journal on Advances in Signal Processing, 2007 We study numerical methods for finding the maximal symmetric positive definite solution of the nonlinear matrix equation X=Q+LX−1LT, where Q is symmetric positive definite and L is nonsingular.
Heike Faßbender, Peter Benner
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