Results 141 to 150 of about 3,138,968 (195)
Design of a Sequential Filtering Method Fully Equivalent to the Centralized Filter with Cross-Correlated Noise. [PDF]
Sensors (Basel)Huang Y, Huang W, Wen C.
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The second Painlevé equation, a related nonautonomous semidiscrete equation, and a limit to the first Painlevé equation: Scalar and matrix cases [PDF]
Physica D: Nonlinear Phenomena, 2019 In this paper we consider the matrix nonautonomous semidiscrete (or lattice) equation D dtUn = (2n − 1)(Un+1 − Un−1)−1, as well as the scalar case thereof.
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On the matrix riccati equation
Information Sciences, 1971Properties of the algebraic equation A^TX+XA-XBQ"2^-^1B^TX+Q"1=0 are studied for arbitrary nonnegative definite and positive definite matrices Q"1 and Q"2. The results are used to study the possible number of stationary solutions of the Riccati equation.
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Matrix Functions and Matrix Equations
2015Matrix functions and matrix equations are widely used in science, engineering and social sciences due to the succinct and insightful way in which they allow problems to be formulated and solutions to be expressed.
Zhaojun Bai, Weiguo Gao, Yangfeng Su
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2014
This chapter presents applications to polynomial matrix equations, algebraic Riccati equations, and linear quadratic regulators. Without attempting to develop in-depth exposition of the topics, this chapter details these applications in basic forms. Here, maximal invariant semidefinite or neutral subspaces will play a key role. The
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This chapter presents applications to polynomial matrix equations, algebraic Riccati equations, and linear quadratic regulators. Without attempting to develop in-depth exposition of the topics, this chapter details these applications in basic forms. Here, maximal invariant semidefinite or neutral subspaces will play a key role. The
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Fuzzy Optimization and Decision Making, 2009
The authors analyze fuzzy linear matrix equations of the form \(AXB=C\) for finding its fuzzy solutions, using the parametric form of the fuzzy linear system. The authors also derive necessary and sufficient conditions for the existence of the set of fuzzy solutions.
Tofigh Allahviranloo +2 more
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The authors analyze fuzzy linear matrix equations of the form \(AXB=C\) for finding its fuzzy solutions, using the parametric form of the fuzzy linear system. The authors also derive necessary and sufficient conditions for the existence of the set of fuzzy solutions.
Tofigh Allahviranloo +2 more
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Differential Equation for the Transfer Matrix
International Journal of Theoretical Physics, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shelykh, I. A., Ivanov, V. K.
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Linear and Multilinear Algebra, 2017
AbstractIn this paper we investigate the matrix equation . Some sufficient and necessary conditions for the existence of Hermitian positive definite solutions as well as for the existence of the smallest Hermitian positive definite solution of the considered equation are derived.
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AbstractIn this paper we investigate the matrix equation . Some sufficient and necessary conditions for the existence of Hermitian positive definite solutions as well as for the existence of the smallest Hermitian positive definite solution of the considered equation are derived.
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Generating equations approach for quadratic matrix equations
Numerical Linear Algebra with Applications, 1999The author gives an algorithm for the numerical solution of a quadratic matrix equation with the Hamiltonian matrix. The algorithm transforms the Hamiltonian matrix into a skew-Hamiltonian one. This is then transformed in several steps into a block diagonal matrix with the left upper block having again a block-diagonal structure with blocks of order 1 ...
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Comments on "On the Lyapunov matrix equation"
IEEE Transactions on Automatic Control, 1975The Lyapunov matrix equation A'Q + QA = - P is considered in the above paper, where two fundamental inequalities are derived which are satisfied by the extremal eigenvalues of the matrices Q and P provided A is a stability matrix. Similar results are derived by an alternate more simple and straightforward approach using matrix norms.
Montemayor, J. J., Womack, Baxter F.
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