stem/Signal Proc/System Classes.md

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---
tags:
- signals
---
# Dynamic vs Algebraic
- Dynamic system has "memory", output depends on present and past
- Includes diff and/or integral operators with initial conditions
- Cap and or inducer
- Algebraic
- No calculus operators
- Output depends only on input
# Time Invariant vs Time-Varying
# Continuous vs Discrete time
# Linear vs Non-Linear
# Deterministic vs Stochastic
- Deterministic
- Output fully determined by parameter inputs
- Stochastic
- Include randomness
- Noise/Disturbance
- Same inputs can lead to different outputs
# Lumped vs Distributed parameters
- Lumped
- Only one independent variable (time $t$)
- Typical for electrical systems
- $x(t)$
- Ordinary differential equations
- Distributed
- Several independent variables
- time, pressure, temperature
- Typical for chemical processes and process control
-$x(t, P, T)$
- Differential partial equations
# Causal vs Non-Causal
- Causal
- Output depends only on current and past values
- Non-Causal
- Output depends on future inputs
# SISO vs MIMO
- Single Input/Single Output
- Multiple Input/Multiple Output