Design of finite-/fixed-time ISS-Lyapunov functions for mechanical systems

被引：3
作者：
Aleksandrov, Alexander [1 ,2 ]
Efimov, Denis [3 ]
Dashkovskiy, Sergey [4 ]
机构：
[1] St Petersburg State Univ, 7-9 Univ Skaya nab, St Petersburg 199034, Russia
[2] Russian Acad Sci, Inst Problems Mech Engn, St Petersburg 199178, Russia
[3] Univ Lille, Inria, CNRS, UMR 9189,CRIStAL, F-59000 Lille, France
[4] Univ Wurzburg, Inst Math, Emil Fischer Str 40, D-97074 Wurzburg, Germany
来源：
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2023年 / 35卷 / 01期
关键词：
Input-to-state stability; Finite-time Stability; Mechanical Systems; STATE STABILITY; STABILIZATION; FEEDBACK; INPUT;
D O I：
10.1007/s00498-022-00338-x
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
For a canonical form of mechanical systems defined through gradients of potential energy and dissipative terms, the conditions of finite-time and fixed-time (integral) input-to-state stability are derived by finding suitable Lyapunov functions. The proposed stability conditions are constructive, which is demonstrated in several applications.
引用
收藏
页码：215 / 235
页数：21
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