The notion of stability allows to study the qualitative behavior of dynamical systems. In particular it allows to study the behavior of trajectories close to an equilibrium point or to a motion. The notion of stability that we discuss has been introduced in 1882 by the Russian mathematician A.M. Lyapunov in his doctoral thesis; hence it is often referred to as Lyapunov stability. In this article we discuss and characterize Lyapunov stability for linear systems.
Astolfi, A. (2021). Stability: Lyapunov, Linear Systems. In T.S. John Baillieul (a cura di), Encyclopedia of Systems and Control (pp. 2130-2135). Springer [10.1007/978-3-030-44184-5_194].
Stability: Lyapunov, Linear Systems
Astolfi, Alessandro
2021-08-01
Abstract
The notion of stability allows to study the qualitative behavior of dynamical systems. In particular it allows to study the behavior of trajectories close to an equilibrium point or to a motion. The notion of stability that we discuss has been introduced in 1882 by the Russian mathematician A.M. Lyapunov in his doctoral thesis; hence it is often referred to as Lyapunov stability. In this article we discuss and characterize Lyapunov stability for linear systems.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
