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Distributed parameter system

In control theory, a distributed-parameter system (as opposed to a lumped-parameter system) is a system whose state space is infinite-dimensional. Such systems are therefore also known as infinite-dimensional systems. Typical examples are systems described by partial differential equations or by delay differential equations.

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Control theoryLumped-parameter systemSystemState spaceDimensional
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Linear time-invariant distributed-parameter systems

SemigroupLaplace transformZ-transformHolomorphicControllability
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Linear time-invariant distributed-parameter systems

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Distributed parameter system

Nodes25
Edges24
Triples4
Avg. degree1.92
Density0.08
Components1

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displaystyle space state controllability observability transfer function differential given discrete-time partial systems system case equation phi psi infinite-dimensional functions equations

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SubjectPredicateObjectConfidenceSrc
partial differential equationsinstance ofAn added complication now however is that to include interesting physical examples0.80text
delay differential equations into this abstract frameworkinstance ofAn added complication now however is that to include interesting physical examples0.80text
one is forced to consider unbounded operatorsinstance ofAn added complication now however is that to include interesting physical examples0.80text
L1instance ofbut other choices0.80text

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