Stability is a core concept in systems and control theory that characterizes the behavior of a perturbed dynamical system with respect to a reference unperturbed condition. Several notions related to stability have been studied over almost 150 years of history. This chapter reviews some of such notions in the canonical context of autonomous finite-dimensional time-varying nonlinear systems. These include Lyapunov, Lagrange, and Poisson stability, attractivity and asymptotic stability, (ultimate) boundedness, recurrence and recursive concepts, contraction and incremental properties, and some of their facets and variations. Once these notions are introduced, the chapter reviews some relevant connections between them.
Bin, M. (2025). Stability Notions for Nonlinear Systems. Amsterdam : Elsevier [10.1016/b978-0-443-14081-5.00138-0].
Stability Notions for Nonlinear Systems
Bin, Michelangelo
Primo
2025
Abstract
Stability is a core concept in systems and control theory that characterizes the behavior of a perturbed dynamical system with respect to a reference unperturbed condition. Several notions related to stability have been studied over almost 150 years of history. This chapter reviews some of such notions in the canonical context of autonomous finite-dimensional time-varying nonlinear systems. These include Lyapunov, Lagrange, and Poisson stability, attractivity and asymptotic stability, (ultimate) boundedness, recurrence and recursive concepts, contraction and incremental properties, and some of their facets and variations. Once these notions are introduced, the chapter reviews some relevant connections between them.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
