Howtosignalprocessing
- What is the condition for controllability?
- How do you prove a system is controllable?
- What are the condition for the controllability and observability?
- What is necessary and sufficient condition of controllability?
What is the condition for controllability?
System S is said to be controllable if for any initial state x, there exists an input function u(·) under which the state x, is transferred into the zero state within a finite time.
How do you prove a system is controllable?
A system is controllable or "Controllable to the origin" when any state x1 can be driven to the zero state x = 0 in a finite number of steps. If the second equation is not satisfied, the system is not .
What are the condition for the controllability and observability?
In brief, a linear system is stable if its state does remains bounded with time, is controllable if the input can be designed to take the system from any initial state to any final state, and is observable if its state can be recovered from its outputs.
What is necessary and sufficient condition of controllability?
Theorem 1 states that for the complete controllability and observability of the state space system description of \Sigma_12 it is necessary and sufficient that certain "denominator" and "numerator" groups are coprime.
