State space explained

The "state space" is the Euclidean space in which the variables on the axes are the state variables. The state of the system can be represented as a state vector within that space. To abstract from the number of inputs, outputs and states, these variables are expressed as vectors.

1. How do you define state space?
2. How does state space work?
3. What is state space with example?
4. What is the purpose of state space representation?

How do you define state space?

The state space of a dynamical system is the set of all possible states of the system. Each coordinate is a state variable, and the values of all the state variables completely describes the state of the system.

How does state space work?

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.

What is state space with example?

State Space: State Space is known as the set of all possible and known states of a system. In state-space, each unique point represents a state of the system. For example, Take a pendulum moving in to and fro motion. The state of such an idealized pendulum is represented by its angle and its angular velocity.

What is the purpose of state space representation?

In general, a state space is introduced into a system description without examining its specific physical meaning. It is known, however, that if we select a suitable state space representation, it becomes easier for us to understand or to manipulate the property of a system.