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Analysis of a class of discrete-time systems with power rule |
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| Authors: | Xinghuo Yu Jian-Xin Xu |
| Affiliation: | a School of Electrical and Computer Engineering, Royal Melbourne Institute of Technology, Melbourne, Australia b Department of Electrical and Computer Engineering, National University of Singapore, Singapore c Institute of Systems Science, Chinese Academy of Sciences, Beijing, China d Automation Research Center, Dalian Maritime University, Dalian 116026, PR China |
| Abstract: | In this communique, the properties of a class of discrete-time dynamic systems with power rule are studied and comparisons with their continuous-time counterparts as well as the linear discrete-time systems are made. It is shown that using power rule can be beneficial for improving dynamic behaviors of discrete-time systems. For example, a power control law may stabilize a discrete-time system which is not stabilizable by the linear control law. |
| Keywords: | Stability Discrete-time systems Non-smoothness Terminal convergence Robustness Sliding mode |
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