Given the following state and output equations of a process:x₁(k+1)0.99400(x1(k)0.02x2(k+1)=0.10.9 0x2(k) +\x3(k+1)00.01 1\x3(k)==0 u(k)0x1(k)y(k) = (001) x2(k)Determine the stability of the process model.\x3(k)

Given system:State matrix: A = [[0.994, 0, 0], [0.1, 0.9, 0], [0, 0.01, 1]]Input matrix: B =…

Answered: Given the following state and output…

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.22P

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Given the following state and output equations of a process: x₁(k+1) 0.994 0 0 (x1(k) 0.02 x2(k+1) = 0.1 0.9 0 x2(k) + \x3(k+1) 0 0.01 1 \x3(k) == 0 u(k) 0 x1(k) y(k) = (001) x2(k) Determine the stability of the process model. \x3(k)