Finite time input-to-state stability of discrete time autonomous systems

Finite time input-to-state stability of discrete time autonomous systems

We consider the finite time input-to-state stability of autonomous discrete time systems, where the state enters a ball around the origin, with a radius determined by the input magnitude, in finite time. This extends the notion of classical input to state stability where this condition is only achie...

Full description

Saved in:
Bibliographic Details
Published in:IEEE control systems letters Vol. 7; p. 1
Main Authors: Mo, Yuanqiu, Xing, Ran, Hou, Huazhou, Dasgupta, Soura
Format: Journal Article
Language:English
Published: IEEE 01-01-2023
Subjects:
Asymptotic stability
Continuous time systems
Converse Lyapunov Theorems
Discrete-time systems
Finite Time Input-to-State Stability
Lyapunov Functions
Lyapunov methods
Stability criteria
Trajectory
Urban areas
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider the finite time input-to-state stability of autonomous discrete time systems, where the state enters a ball around the origin, with a radius determined by the input magnitude, in finite time. This extends the notion of classical input to state stability where this condition is only achieved asymptotically. We provide several types of Lyapunov functions that guarantee finite time input-to-state stability and characterize their equivalence. We also give converse Lyapunov theorems correcting a mistake in [1].
ISSN:2475-1456
2475-1456
DOI:10.1109/LCSYS.2023.3287502