CDS - System Theory

Systems theory is the interdisciplinary study of systems.

System are composed by interacting interdependent parts, exchange energy with the environment, have a given structure, objective, and functioning.

They are usually more than the sum of their parts if they show synergistic relationships or emergent behavior.

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What to we do with Models?

• Simulation
  • As-Is analysis
  • What-If analysis
• Prediction
• Controller Design

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DES - Definition of ‘Static System’ DES - Definition of ‘Dynamical System’ DES - Definition of ‘State of a System’

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CT (Continuous Time) vs DT (Discrete Time)

When talking about a Continuos-Time (CT), it means that the time $t$ belongs to a continous set, usally to ${\mathbb{R}}^{\ge 0}=\{t\in \mathbb{R}:t\ge 0\}$

Instead if we are talking about a Discrete-Time (DT) System, than the the time $t$ belongs to a discrete set, usally the set of natural numbers $\mathbb{N}=\{0,1,2,...\}$

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