scholarly journals Lyapunov Conditions for Input-to-State Stability of Hybrid Systems With Memory

2019 ◽  
Vol 64 (10) ◽  
pp. 4307-4313
Author(s):  
Wei Ren ◽  
Junlin Xiong
Keyword(s):  
Hybrid Systems ◽  
Systems With Memory ◽  
With Memory

scholarly journals Sensitivity Analysis for Hybrid Systems and Systems With Memory

2019 ◽  
Vol 14 (9) ◽  
Author(s):  
Radu Serban ◽  
Antonio Recuero
Keyword(s):  
Hybrid Systems ◽  
Exponential Model ◽  
Differential Algebraic Equations ◽  
Mode Switching ◽  
Continuous Systems ◽  
Algebraic Equations ◽  
Adjoint Sensitivity ◽  
Adjoint Systems ◽  
Systems With Memory ◽  
With Memory

We present an adjoint sensitivity method for hybrid discrete—continuous systems, extending previously published forward sensitivity methods (FSA). We treat ordinary differential equations (ODEs) and differential-algebraic equations (DAEs) of index up to two (Hessenberg) and provide sufficient solvability conditions for consistent initialization and state transfer at mode switching points, for both the sensitivity and adjoint systems. Furthermore, we extend the analysis to so-called hybrid systems with memory where the dynamics of any given mode depend explicitly on the states at the last mode transition point. We present and discuss several numerical examples, including a computational mechanics problem based on the so-called exponential model (EM) constitutive material law for steel reinforcement under cyclic loading.

A Matrosov theorem for hybrid systems with memory

2020 ◽  
pp. 1-1
Author(s):  
Kun-Zhi Liu ◽  
Andrew R. Teel ◽  
Jun Liu ◽  
Xi-Ming Sun ◽  
Xue-Fang Wang
Keyword(s):  
Hybrid Systems ◽  
Systems With Memory ◽  
With Memory

scholarly journals Parity-time symmetric systems with memory

2021 ◽  
Vol 3 (1) ◽  
Author(s):  
Zachary A. Cochran ◽  
Avadh Saxena ◽  
Yogesh N. Joglekar
Keyword(s):  
Systems With Memory ◽  
With Memory ◽  
Symmetric Systems
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