ALBERT — All Library Books, journals and Electronic Records Telegrafenberg

Hits per page

hit 1 - 1 | 1 hit

Sorting

Unknown

Conditioning of the Stable, Discrete-time Lyapunov Operator (2000)

Todling, Ricardo ; Cohn, Stephen E. ; Tippett, Michael K. ; [et al.]

In: CASI

add to mindlist on the mindlist

Details

Publication Date: 2019-07-12

Description: The Schatten p-norm condition of the discrete-time Lyapunov operator L(sub A) defined on matrices P is identical with R(sup n X n) by L(sub A) P is identical with P - APA(sup T) is studied for stable matrices A is a member of R(sup n X n). Bounds are obtained for the norm of L(sub A) and its inverse that depend on the spectrum, singular values and radius of stability of A. Since the solution P of the the discrete-time algebraic Lyapunov equation (DALE) L(sub A)P = Q can be ill-conditioned only when either L(sub A) or Q is ill-conditioned, these bounds are useful in determining whether P admits a low-rank approximation, which is important in the numerical solution of the DALE for large n.

Keywords: Numerical Analysis

Format: application/pdf

Permalink

	Location	Call Number	Expected	Availability

Others were also interested in ...

NASA TECHNICAL REPORTS

S·F·X

Overview

hit 1 - 1 | 1 hit