Abstract
This note is concerned with input-to-state stability analysis of discrete-time switched nonlinear time-varying (DSNTV) systems. Some sufficient conditions are derived for testing input-to-state stability (ISS) of discrete-time nonlinear time-varying (DNTV) systems. ISS of DSNTV systems is further studied. The main feature of these obtained results is that the time-difference of Lyapunov functions of subsystems is allowed to be indefinite. Globally uniformly asymptotically stability (GUAS) and globally uniformly exponentially stability (GUES) concepts are utilized for analysis stability of general DNTV and DSNTV systems. An numerical example demonstrate the effectiveness of the proposed approaches.
The authors would like to thank Professor Bin Zhou for fruitful suggestions.
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Zhao, T., Jia, L., Luo, W. (2018). Improved Input-to-State Stability Analysis of Discrete-Time Time-Varying Systems. In: Chen, Z., Mendes, A., Yan, Y., Chen, S. (eds) Intelligent Robotics and Applications. ICIRA 2018. Lecture Notes in Computer Science(), vol 10984. Springer, Cham. https://doi.org/10.1007/978-3-319-97586-3_12
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