Abstract
In the present paper, dwell time stability conditions of the switched delay systems are derived using scheduled Lyapunov-Krasovskii functions. The derivative of the Lyapunov functions are guaranteed to be negative semidefinite using free weighting matrices method. After representing the dwell time in terms of linear matrix inequalities, the upper bound of the dwell time is minimized using a bisection algorithm. Some numerical examples are given to illustrate effectiveness of the proposed method, and its performance is compared with the existing approaches. The yielding values of dwell time via the proposed technique show that the novel approach outperforms the previous ones. © 2016
Keywords
Dwell time
Weighting
Time derivative
Mathematics
Minification
Upper and lower bounds
Control theory (sociology)
Lyapunov function
Bisection method
Stability (learning theory)
Matrix (chemical analysis)
Mathematical optimization
Computer science
Nonlinear system
Subject Areas
Stability and Control of Uncertain Systems
·Control and Systems Engineering ·Physical Sciences
Neural Networks Stability and Synchronization
·Computer Networks and Communications ·Physical Sciences
Matrix Theory and Algorithms
·Computational Theory and Mathematics ·Physical Sciences
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