Behavioral modeling
Encyclopedia
In behavioral science, system theory and dynamic systems modeling, a behavioral model reproduces the required behavior of the original analyzed system
, such as there is a one-to-one correspondence between the behavior of the original system and the simulated system. That namely implies that the model uniquely predicts future system states from past systems states. The behavioral approach is motivated by the aim of obtaining a framework for system analysis that respects the underlying physics
and sets up the appropriate mathematical concepts from there.
A key question of the behavioral approach is whether a quantity w1 can be deduced given an observed quantity w2 and a model. If w2 can be deduced given w1 and the model, w2 is said to be observable
. In terms of mathematical modeling, the to-be-deduced quantity or variable
is often referred to as the latent variable
and the observed variable is the manifest variable. Such a system is then called an observable (latent variable) system.
The above system theoretic definition, underlies to some degree most current usages of the term behavioral model. More specifically, the term behavioral modeling is also encountered in the following fields:
System
System is a set of interacting or interdependent components forming an integrated whole....
, such as there is a one-to-one correspondence between the behavior of the original system and the simulated system. That namely implies that the model uniquely predicts future system states from past systems states. The behavioral approach is motivated by the aim of obtaining a framework for system analysis that respects the underlying physics
Physics
Physics is a natural science that involves the study of matter and its motion through spacetime, along with related concepts such as energy and force. More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves.Physics is one of the oldest academic...
and sets up the appropriate mathematical concepts from there.
A key question of the behavioral approach is whether a quantity w1 can be deduced given an observed quantity w2 and a model. If w2 can be deduced given w1 and the model, w2 is said to be observable
Observability
Observability, in control theory, is a measure for how well internal states of a system can be inferred by knowledge of its external outputs. The observability and controllability of a system are mathematical duals. The concept of observability was introduced by American-Hungarian scientist Rudolf E...
. In terms of mathematical modeling, the to-be-deduced quantity or variable
Variable (mathematics)
In mathematics, a variable is a value that may change within the scope of a given problem or set of operations. In contrast, a constant is a value that remains unchanged, though often unknown or undetermined. The concepts of constants and variables are fundamental to many areas of mathematics and...
is often referred to as the latent variable
Latent variable
In statistics, latent variables , are variables that are not directly observed but are rather inferred from other variables that are observed . Mathematical models that aim to explain observed variables in terms of latent variables are called latent variable models...
and the observed variable is the manifest variable. Such a system is then called an observable (latent variable) system.
The above system theoretic definition, underlies to some degree most current usages of the term behavioral model. More specifically, the term behavioral modeling is also encountered in the following fields:
- In computer-aided designBehavioral modeling in computer-aided designIn computer-aided design, behavioral modeling is a high-level circuit modeling technique where behavior of logic is modeled.The Verilog-AMS and VHDL-AMS languages are widely used to model logic behavior.- Other modeling approaches :...
, it designates a circuitCircuitCircuit may mean:In science and technology*Circuit theory, the theory of accomplishing work by routing electrons, gas, fluids, or other matter through a loop*Pneumatic circuit*Hydraulic circuit*Boolean circuit*circuit...
modeling technique.