Norm-Controllability of Nonlinear Systems

作者：Mueller Matthias A; Liberzon Daniel; Allgoewer Frank

来源：IEEE Transactions on Automatic Control, 2015, 60(7): 1825-1840.

DOI：10.1109/TAC.2015.2394953

• Controllability
• input-to-state stability (ISS)
• Lyapunov methods
• nonlinear systems

In this paper, we introduce and study the notion of norm-controllability for nonlinear systems. This property captures the responsiveness of a system with respect to applied inputs, which is quantified via the norm of an output. As a main contribution, we obtain several Lyapunov-like sufficient conditions for norm-controllability, some of which are based on higher-order derivatives of a Lyapunov-like function. Various aspects of the proposed concept and the sufficient conditions are illustrated by several examples, including a chemical reactor application. Furthermore, for the special case of linear systems, we establish connections between norm-controllability and standard controllability.

• 出版日期2015-7