TY - JOUR
T1 - Parameter-memorized Lyapunov functions for discrete-time systems with time-varying parametric uncertainties
AU - Xiang, Weiming
N1 - Funding Information:
This work was supported by the National Natural Science Foundation of China ( 61603312 , 51477146 , 51707167 ). The material in this paper was not presented at any conference. This paper was recommended for publication in revised form by Associate Editor Tingshu Hu under the direction of Editor André L. Tits.
Publisher Copyright:
© 2017 Elsevier Ltd
PY - 2018/1
Y1 - 2018/1
N2 - In this paper, a novel parameter-memorized Lyapunov function is proposed for stability analysis of discrete-time linear systems with time-varying parametric uncertainties. The parameter-memorized Lyapunov function depends on the uncertain parameters with a memory of a certain interval. It is shown that the previous parameter-dependent Lyapunov function is a special memoryless case of the parameter-memorized Lyapunov function, and as a result, the parameter-memorized Lyapunov function approach leads to less conservative results. Furthermore, if the length of the interval for parameter memory is sufficiently long, a nonconservative stability analysis result can be achieved. Numerical examples are provided to evaluate the obtained theoretical results.
AB - In this paper, a novel parameter-memorized Lyapunov function is proposed for stability analysis of discrete-time linear systems with time-varying parametric uncertainties. The parameter-memorized Lyapunov function depends on the uncertain parameters with a memory of a certain interval. It is shown that the previous parameter-dependent Lyapunov function is a special memoryless case of the parameter-memorized Lyapunov function, and as a result, the parameter-memorized Lyapunov function approach leads to less conservative results. Furthermore, if the length of the interval for parameter memory is sufficiently long, a nonconservative stability analysis result can be achieved. Numerical examples are provided to evaluate the obtained theoretical results.
KW - Discrete-time systems
KW - Parameter-memorized Lyapunov function
KW - Time-varying parameters
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U2 - 10.1016/j.automatica.2017.10.001
DO - 10.1016/j.automatica.2017.10.001
M3 - Article
AN - SCOPUS:85037834586
SN - 0005-1098
VL - 87
SP - 450
EP - 454
JO - Automatica
JF - Automatica
ER -