Stability, observability and invariance

Stability and Observability

The theme was the effect of perturbations of the defining parameters of a neural network due to: 1) mea"urement" (particularly with analog networks); 2) di"cretization due to a) digital implementation of analog nets; b) bounded-precision implementation of digital networks; or c) inaccurate evaluation of the transfer function(s}; 3) noise in or incomplete input and/or output of the net or indivi...

Nonlinear observability and an invariance principle for switched systems

This paper proposes several definitions of observability for nonlinear systems and explores relationships between them. These observability properties involve the existence of a bound on the norm of the state in terms of the norm of the output on a small time interval. As an application, we prove a LaSalle-like stability theorem for switched nonlinear systems.

System Characteristics: Stability, Controllability, Observability

Controllability,Observability,And Stability Of Mathematical Models

Module 8: Controllability, Observability and Stability of Discrete Time Systems

Controllability deals with the possibility of forcing the system to a particular state by application of a control input. If a state is uncontrollable then no input will be able to control that state. On the other hand whether or not the initial states can be observed from the output is determined using observability property. Thus if a state is not observable then the controller will not be ab...