The minimum principle for time-varying hybrid systems with state switching and jumps

2011 ◽  
Author(s):  
Benjamin Passenberg ◽  
Marion Leibold ◽  
Olaf Stursberg ◽  
Martin Buss
Keyword(s):  
Hybrid Systems ◽  
Minimum Principle ◽  
Time Varying ◽  
State Switching

Bounding Linear Time Varying Hybrid Systems with Time Events 1

2004 ◽  
Vol 37 (9) ◽  
pp. 245-250
Author(s):  
Cha Kun Lee ◽  
Paul I. Barton
Keyword(s):  
Hybrid Systems ◽  
Linear Time ◽  
Time Varying

scholarly journals Stability Criteria for Singular Stochastic Hybrid Systems with Mode-Dependent Time-Varying Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Ming Zhao ◽  
Yueying Wang ◽  
Pingfang Zhou ◽  
Dengping Duan
Keyword(s):  
Hybrid Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequality ◽  
Stability Criteria ◽  
Stochastic Hybrid Systems ◽  
Time Varying Delay ◽  
Exponentially Stable ◽  
Delay Dependent ◽  
Varying Delay

This paper provides a delay-dependent criterion for a class of singular stochastic hybrid systems with mode-dependent time-varying delay. In order to reduce conservatism, a new Lyapunov-Krasovskii functional is constructed by decomposing the delay interval into multiple subintervals. Based on the new functional, a stability criterion is derived in terms of strict linear matrix inequality (LMI), which guarantees that the considered system is regular, impulse-free, and mean-square exponentially stable. Numerical examples are presented to illustrate the effectiveness of proposed method.

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