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gptkbp:instanceOf
|
gptkb:mathematical_concept
|
|
gptkbp:analyzes
|
Frequency Response
Impulse Response
Transfer Function
|
|
gptkbp:application
|
gptkb:Physics
Economics
Electrical Circuits
Mechanical Systems
|
|
gptkbp:contrastsWith
|
gptkb:Nonlinear_Systems
|
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gptkbp:definedIn
|
gptkb:Superposition_Principle
Linearity
Homogeneity
|
|
gptkbp:example
|
gptkb:Linear_Filter
gptkb:Mass-Spring-Damper_System
gptkb:RC_Circuit
gptkb:System_of_Linear_Equations
|
|
gptkbp:field
|
gptkb:Signal_Processing
gptkb:Mathematics
Engineering
Control System
|
|
gptkbp:form
|
Ax = b
dx/dt = Ax + Bu
y = Cx + Du
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Linear Systems
|
|
gptkbp:property
|
Additivity
Homogeneity
Time-Invariance (if LTI)
|
|
gptkbp:relatedTo
|
Stability
Controllability
Observability
Eigenvalues
Eigenvectors
|
|
gptkbp:solvedBy
|
gptkb:Fourier_Transform
gptkb:Laplace_Transform
Matrix Methods
State-Space Representation
|
|
gptkbp:studiedIn
|
gptkb:Differential_Equations
gptkb:Linear_Algebra
gptkb:Systems_Theory
|
|
gptkbp:type
|
Continuous-Time Linear System
Discrete-Time Linear System
Linear Time-Invariant System
Linear Time-Variant System
|
|
gptkbp:usedIn
|
gptkb:Signal_Processing
Communications
Econometrics
Control Systems
Structural Analysis
|
|
gptkbp:bfsParent
|
gptkb:Thomas_Kailath
|
|
gptkbp:bfsLayer
|
6
|