Title :
Strong stability of internal system descriptions
Author :
Karcanias, N. ; Halikias, G. ; Papageorgiou, A.
Author_Institution :
Control Eng. Res. Centre, City Univ., London, UK
Abstract :
The concept of “strong stability” of LTI systems is introduced. This is a stronger notion of stability compared to alternative definitions, which allows the analysis and design of control systems with no overshooting response for arbitrary initial conditions. In this part of the paper strong stability is formally defined and related to various system properties, in particular asymptotic stability, system structure and skewness of eigenframe. State-space transformations under which strong stability is a system invariant are characterised. The results are illustrated by means of numerous examples.
Keywords :
asymptotic stability; control system analysis; control system synthesis; eigenvalues and eigenfunctions; state-space methods; LTI system; asymptotic stability; control system analysis; control system design; eigenframe; internal system description; overshooting response; state-space transformation; system invariant; system property; system structure; Asymptotic stability; Eigenvalues and eigenfunctions; Matrix decomposition; Orbits; Stability analysis; Symmetric matrices; Trajectory;
Conference_Titel :
Control Conference (ECC), 2007 European
Conference_Location :
Kos
Print_ISBN :
978-3-9524173-8-6
