Zero dynamics

The zero momentum is a concept of control theory (or systems theory ) and the internal describes dynamics of a system for the case that the output of certain input signals and initial conditions of the system for all time is identically zero. It is a generalization of the zero point analysis of transfer functions in linear systems and is important for the stability analysis of nonlinear control systems . ${\displaystyle y(t)}$ ${\displaystyle u(t)}$ ${\displaystyle x(0)}$ ${\displaystyle t\geq 0}$

The term was introduced in 1985 by Alberto Isidori .

literature

• Alberto Isidori: Nonlinear control systems . 3. Edition. Springer Verlag, 1995, ISBN 978-3-540-19916-8 (first edition: 1985).
• Ferdinand Svaricek: Zero Dynamics of Linear and Nonlinear Systems: Definitions, Properties and Applications. In: Automation technology . No. 54 , 2006, pp. 310-322 ( online ).

Web links

• F. Allgöwer, Course Control Engineering II, Structural Properties of Nonlinear Systems , University of Stuttgart 2008, pdf