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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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Matrix Bernoulli equations. II
Russian Mathematics, 2008In this paper, we find sufficient conditions for the solvability by quadratures of J. Bernoulli's equation defined over the set M2 of square matrices of order 2. We consider the cases when such equations are stated in terms of bases of a two-dimensional abelian algebra and a three- dimensional solvable Lie algebra over M2.
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