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# A linear dynamical system can be represented by the equations dx dt = A(t)x(t) +

ISBN: 9780534392000 331

## Solution for problem 9.2.24 Chapter 9-2

Numerical Analysis (Available Titles CengageNOW) | 8th Edition

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Problem 9.2.24

A linear dynamical system can be represented by the equations dx dt = A(t)x(t) + B(t)u(t), y(t) = C(t)x(t) + D(t)u(t), where A is an n n variable matrix, B is an n r variable matrix, C is an m n variable matrix, D is an m r variable matrix, x is an n-dimensional vector variable, y is an m-dimensional vector variable, and u is an r-dimensional vector variable. For the system to be stable, the matrix A must have all its eigenvalues with nonpositive real part for all t. Is the system stable if a. A(t) = 1 20 2.5 7 4 0 0 5 ? b. A(t) = 1100 0 210 0 0 5 1 1 1 2 3 ?

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##### ISBN: 9780534392000

The answer to “A linear dynamical system can be represented by the equations dx dt = A(t)x(t) + B(t)u(t), y(t) = C(t)x(t) + D(t)u(t), where A is an n n variable matrix, B is an n r variable matrix, C is an m n variable matrix, D is an m r variable matrix, x is an n-dimensional vector variable, y is an m-dimensional vector variable, and u is an r-dimensional vector variable. For the system to be stable, the matrix A must have all its eigenvalues with nonpositive real part for all t. Is the system stable if a. A(t) = 1 20 2.5 7 4 0 0 5 ? b. A(t) = 1100 0 210 0 0 5 1 1 1 2 3 ?” is broken down into a number of easy to follow steps, and 122 words. Since the solution to 9.2.24 from 9-2 chapter was answered, more than 210 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 69 chapters, and 1072 solutions. Numerical Analysis (Available Titles CengageNOW) was written by and is associated to the ISBN: 9780534392000. The full step-by-step solution to problem: 9.2.24 from chapter: 9-2 was answered by , our top Calculus solution expert on 03/05/18, 08:28PM. This textbook survival guide was created for the textbook: Numerical Analysis (Available Titles CengageNOW) , edition: 8.

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