This chapter addresses finite-time stability and control issues of impulsive positive systems (IPSs) with interval uncertainty. In terms of different types of impulsive effects, a time-varying copositive Lyapunov function is constructed and the average impulsive interval method is applied for studying the finite-time stability of interval IPSs. The relevance between the impulsive effect and the finite time period is disclosed by theoretical results and simulations. Sufficient conditions for the existence of the finite-time controller are established to ensure the finite-time stability of the closed-loop system while maintaining the positivity. The conditions in terms of vector inequalities are easily solvable. Numerical examples are presented to show the usefulness of the obtained theorems.
Finite-Time Stability and Control of Impulsive Positive Systems with Interval Uncertainty
Studies in Systems, Decision and Control
Recent Advances in Control Problems of Dynamical Systems and Networks ; Kapitel : 2 ; 37-60
2020-08-11
24 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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