Fall 2007
線性系統
Linear Systems
Chapter 04
State-Space Solutions & Realizations
Feng-Li Lian
NTU-EE
Sep07 – Jan08
Materials used in these lecture notes are adopted from
“Linear System Theory & Design,” 3rd. Ed., by C.-T. Chen (1999)
NTUEE-LS4-Solution-2
Feng-Li Lian © 2007
Introduction
Solution of LTI State Equations
(4.2)
Equivalent State Equations
(4.3)
Realizations
(4.4)
Outline

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NTUEE-LS4-Solution-3
Feng-Li Lian © 2007
Solution of LTI State Equations (4.2) – 1
•
Derivative
of Exponential Function:
NTUEE-LS4-Solution-4
Feng-Li Lian © 2007
Solution of LTI State Equations – 2
•
LTI State Equation
and its
Solution
:

NTUEE-LS4-Solution-5
Feng-Li Lian © 2007
Solution of LTI State Equations – 3
•
LTI State Equations
:
NTUEE-LS4-Solution-6
Feng-Li Lian © 2007
Solution of LTI State Equations – 4
•
Useful formulae:
•
Verification
:

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