On Explicit Solutions of the Algebraic Lyapunov Matrix Equation and Bounds for their Extremal Characteristic Roots
نویسندگان
چکیده
منابع مشابه
Bounds for solutions of the discrete algebraic Lyapunov equation
A family of sharp, arbitrarily tight, upper and lower matrix bounds for solutions of the discrete algebraic Lyapunov are presented. The lower bounds are tighter than previously known ones. Unlike the majority of previously known upper bounds, those derived here have no restrictions on their applicability. Upper and lower bounds for individual eigenvalues and for the trace of the solution are fo...
متن کاملBounds for Solutions of the Discrete Algebraic Lyapunov Equation - Automatic Control, IEEE Transactions on
A family of sharp, arbitrarily tight upper and lower matrix bounds for solutions of the discrete algebraic Lyapunov are presented. The lower bounds are tighter than previously known ones. Unlike the majority of previously known upper bounds, those derived here have no restrictions on their applicability. Upper and lower bounds for individual eigenvalues and for the trace of the solution are fou...
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New bounds for solutions of the discrete algebraic Lyapunov equation P = APA T + Q are derived. The new bounds are compared to existing ones and found to be of particular interest when A is non-normal.
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ژورنال
عنوان ژورنال: Transactions of the Society of Instrument and Control Engineers
سال: 1982
ISSN: 0453-4654
DOI: 10.9746/sicetr1965.18.464