TY - JOUR
T1 - Asymptotic solution of singularly perturbed hybrid dynamical systems
AU - WU, Limeng
AU - ZHANG, Juan
AU - NI, Mingkang
AU - LU, Haibo
N1 - Publisher Copyright:
© 2016 Wuhan Institute of Physics and Mathematics
PY - 2016/9/1
Y1 - 2016/9/1
N2 - In this paper, we consider a class of optimal control problem for the singularly perturbed hybrid dynamical systems. By means of variational method, we obtain the necessary conditions of the hybrid dynamical systems. Meanwhile, the existence of solution for the hybrid dynamical system is proved by the sewing method and the uniformly valid asymptotic expansion of the optimal trajectory is constructed by the boundary function method. Finally, an example is presented to illustrate the result.
AB - In this paper, we consider a class of optimal control problem for the singularly perturbed hybrid dynamical systems. By means of variational method, we obtain the necessary conditions of the hybrid dynamical systems. Meanwhile, the existence of solution for the hybrid dynamical system is proved by the sewing method and the uniformly valid asymptotic expansion of the optimal trajectory is constructed by the boundary function method. Finally, an example is presented to illustrate the result.
KW - hybrid dynamical system
KW - optimal control
KW - singular perturbation
UR - https://www.scopus.com/pages/publications/85002697858
U2 - 10.1016/S0252-9602(16)30081-9
DO - 10.1016/S0252-9602(16)30081-9
M3 - 文章
AN - SCOPUS:85002697858
SN - 0252-9602
VL - 36
SP - 1457
EP - 1466
JO - Acta Mathematica Scientia
JF - Acta Mathematica Scientia
IS - 5
ER -