Consider a linear time system given by

Understand the Problem

The question seems to be asking about a linear time system, likely requiring further context or details about the system to provide a thorough answer. However, no specific query or additional information follows 'given by'.

Answer

State-space: [z˙1 z˙2] = [0 −2; 1 −3][z1 z2]^T + [0 1]u

The state-space representation of the linear time-invariant system is given by the matrix equation [z˙1 z˙2] = [0 −2; 1 −3][z1 z2]^T + [0 1]u, as found on Chegg.

Answer for screen readers

The state-space representation of the linear time-invariant system is given by the matrix equation [z˙1 z˙2] = [0 −2; 1 −3][z1 z2]^T + [0 1]u, as found on Chegg.

More Information

State-space representation is a mathematical model of a physical system as a set of input, output, and state variables. Techniques for solving state-space equations can help in understanding system behavior and stability.

Tips

Make sure to correctly set up the matrices and vectors according to the system's description. Mistakes in matrix alignment or mismatches between vector sizes can lead to incorrect results.

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