Algorithms for solution of equations and resulting in Lyapunov stability analysis of linear systems
Jan Štecha, Alena Kozáčiková, Jaroslav Kozáčik (1973)
Kybernetika
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Displaying similar documents to “A solution of the continuous Lyapunov equation by means of power series”
Algorithms for solution of equations and resulting in Lyapunov stability analysis of linear systems
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Pavel Zörnig (1983)
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Vladimír Kracík (1973)
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Linear Stieltjes integral equations in Banach spaces. II. Operator valued solutions
Štefan Schwabik (2000)
Mathematica Bohemica
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This paper is a continuation of []. In [] results concerning equations of the form x(t) = x(a) +at [A(s)]x(s) +f(t) - f(a) were presented. The Kurzweil type Stieltjes integration in the setting of [] for Banach space valued functions was used. Here we consider operator valued solutions of the homogeneous problem (t) = I +dt [A(s)](s) as well as the variation-of-constants formula for the former equation.