Mild Solution and Exact Controllability of Semilinear Singular Distributed Parameter Systems

DOI

10.2991/acta-14.2014.27How to use a DOI?

Keywords

mild solution; exact controllability; semilinear singular distributed parameter system; generalized operator semigroup.

Abstract

Mild solution and exact controllability of semilinear singular distributed parameter system are discussed in Hilbert space, some results are obtained by functional analysis and generalized operator semigroup. First, we study the classical solution concerning the homogeneous linear singular distributed parameter system by generalized operator semigroup. Second, the existence and uniqueness for the mild solution of semilinear singular distributed parameter system is proved. Third, a new result concerning the exact controllability of linear singular distributed parameter system is obtained. At last, the exact controllability for the semilinear singular distributed parameter system is discussed. This research is theoretical important for studying the controllability of nonlinear singular distributed parameter systems.

Copyright

© 2014, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Ge Zhaoqiang
PY  - 2014/06
DA  - 2014/06
TI  - Mild Solution and Exact Controllability of Semilinear Singular Distributed Parameter Systems
BT  - 2014 International Conference on Automatic Control Theory and Application
PB  - Atlantis Press
SP  - 109
EP  - 114
SN  - 2352-5398
UR  - https://doi.org/10.2991/acta-14.2014.27
DO  - 10.2991/acta-14.2014.27
ID  - Zhaoqiang2014/06
ER  -