Question: 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
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.
-1.png)
b.
-2.png)
-1 20] 9 A(t) = |-25-7 41? 0 0-5 -1 100 0 2 0 0-5 A(t) = | 0 1
Step by Step Solution
3.38 Rating (164 Votes )
There are 3 Steps involved in it
a 16 225 232 the syste... View full answer
Get step-by-step solutions from verified subject matter experts
Document Format (1 attachment)
731-M-N-A-N-L-A (880).docx
120 KBs Word File
