## What is state-space in control theory?

In control engineering, a state-space representation is a mathematical model of a physical system as a set of input, output and state variables related by first-order differential equations or difference equations.

## What are the multivariable systems explain with example?

Here are a few examples of multivariable processes: A heated liquid tank where both the level and the temperature shall be controlled. A distillation column where the top and bottom concentration shall be controlled. A robot manipulator where the positions of the manipulators (arms) shall be controlled.

**What is state-space time series model?**

A state space model (SSM) is a time series model in which the time series Yt is interpreted as the result of a noisy observation of a stochastic process Xt . The values of the variables Xt and Yt can be continuous (scalar or vector) or discrete.

### What is a state space model statistics?

State space model (SSM) refers to a class of probabilistic graphical model (Koller and Friedman, 2009) that describes the probabilistic dependence between the latent state variable and the observed measurement. The state or the measurement can be either continuous or discrete.

### What is the meaning of state space?

State space is the set of all possible states of a dynamical system; each state of the system corresponds to a unique point in the state space.

**What is a multivariable system?**

1. The control of systems characterized by multiple inputs, which are usually referred to as the controls; or by multiple outputs, which are often the measured variables to be controlled; or by both multiple inputs and outputs.

#### What is multivariable in control systems?

Multivariable control can be defined as automation of the single-loop controller setpoint and output adjustments that are otherwise left to the operating team to manually implement. When operators make setpoint and output adjustments in the course of a shift, that’s manual multivariable control.

#### What are the basic properties of a state space model and how do we analyze these?

They are stability, observability and reachability (controllability). The notion of stability is well known. A dynamic system is asymptotically stable if the effects of initial conditions vanish asymptotically over time. The other two properties are less familiar to statisticians and econometricians.

**What is the use of state space model?**

State-space models are models that use state variables to describe a system by a set of first-order differential or difference equations, rather than by one or more nth-order differential or difference equations.