Discrete-time state-space

1. What is state in state-space?
2. Is state-space discrete or continuous?
3. What is discrete-time system?
4. What is discrete state-space?

What is state in 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. In other words, each point in the state space corresponds to a different state of the system.

Is state-space discrete or continuous?

Definition. In the theory of dynamical systems, the state space of a discrete system defined by a function ƒ can be modeled as a directed graph where each possible state of the dynamical system is represented by a vertex with a directed edge from a to b if and only if ƒ(a) = b. This is known as a state diagram.

What is discrete-time system?

A discrete-time system is anything that takes a discrete-time signal as input and generates a discrete-time signal as output. 1 The concept of a system is very general. It may be used to model the response of an audio equalizer or the performance of the US economy.

What is discrete state-space?

The Discrete State Space (or State Space) component defines the relation between the input and the output in state-space form, where is the value of the discrete state at the previous sample time instant. The input is a vector of length , the output is a vector of the length , and is the number of states.