Journal
NONLINEAR DYNAMICS
Volume 111, Issue 4, Pages 3497-3507Publisher
SPRINGER
DOI: 10.1007/s11071-022-08024-y
Keywords
Finite-time stability; Finite-time contractive stability; Saturated impulse inputs; Convex analysis; Lyapunov function
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This paper aims to analyze the finite-time stability and finite-time contractive stability in nonlinear time-varying systems with saturated impulse inputs. By using theories of convex analysis, impulsive control, matrix inequality, and Lyapunov function, several results about finite-time stability and finite-time contractive stability are obtained and validated through simulation examples.
The aim of this paper is to analyze the finite-time stability (FTS) of nonlinear time-varying systems with saturated impulse inputs and further analyze the finite-time contractive stability (FTCS). By employing theories of convex analysis, impulsive control, matrix inequality and Lyapunov function, several results about FTS and FTCS of nonlinear time-varying systems with saturated impulse inputs are obtained. The simulation examples show the validation of the proposed results.
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