Controllability and stability

System Characteristics: Stability, Controllability, Observability

Stability and Controllability of Batch Processes

Im proving the perform ance ofbatch processes requires tools that are tailored to the specificities of batch operations.These include a m athem atical representation thatexplicitly showsthe two independenttim e variables(the run tim e t and therun index k)aswellasthetwo typesofoutputs(therun-tim eand run-end outputs).Furtherm ore,corrective action can be taken via both on-line and run-to-run co...

Measures for Robust Stability and Controllability

A linear time-invariant dynamical system is robustly stable if the system and all of its nearby systems in a neighborhood of interest are stable. An important property of robustly stable systems is that they decay asymptotically without exhibiting significant transient behavior. The first part of this thesis work focuses on measures revealing the degree of robust stability. We put special empha...

Controllability,Observability,And Stability Of Mathematical Models

Complexity of stability and controllability of elementary hybrid systems1

In this paper, we consider simple classes of nonlinear systems and prove that basic questions related to their stability and controllability are either undecidable or computationally intractable (NP-hard). As a special case, we consider a class of hybrid systems in which the state space is partitioned into two halfspaces, and the dynamics in each halfspace correspond to a different linear syste...