scholarly journals Input-to-state stability of continuous-time systems via finite-time Lyapunov functions

2020 ◽  
Vol 25 (3) ◽  
pp. 841-857
Author(s):  
Huijuan Li ◽  
◽  
Junxia Wang
Keyword(s):  
Continuous Time ◽  
Finite Time ◽  
Lyapunov Functions ◽  
Continuous Time Systems ◽  
Time Systems

scholarly journals Stochastic Finite-TimeH∞Performance Analysis of Continuous-Time Systems with Random Abrupt Changes

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Bing Wang
Keyword(s):  
Performance Analysis ◽  
Continuous Time ◽  
Finite Time ◽  
Sufficient Conditions ◽  
Time Interval ◽  
Control Performance ◽  
Continuous Time Systems ◽  
Abrupt Changes ◽  
Performance Problem ◽  
Time Systems

The problem ofH∞control performance analysis of continuous-time systems with random abrupt changes is concerned in this paper. By employing an augmented multiple mode-dependent Lyapunov-Krasovskii functional and using some integral inequalities, new sufficient conditions are obtained relating to finite-time bounded and anH∞performance index. The finite-timeH∞control performance problem is solved and desired controller is given to ensure the system trajectory stays within a prescribed bound during a given time interval. At last, two numerical examples are provided to show that our results are less conservative than the existing ones.

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