An output stabilization of second order semilinear systems

被引:0
作者
Ezzaki, Lahcen [1 ]
Zerrik, El Hassan [2 ]
机构
[1] Ibn Zohr Univ, Higher Sch Educ & Training, Agadir, Morocco
[2] Moulay Ismail Univ, Fac Sci, MACS Lab, Meknes, Morocco
关键词
Distributed systems; Second order systems; Semilinear systems; Regional stabilization;
D O I
10.1016/j.ifacol.2020.12.1638
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper considers regional stabilization for a class of second order semilinear systems on a subregion of the system evolution domain. Then under sufficient conditions we give controls that ensure regional exponential and strong stabilization. Copyright (C) 2020 The Authors.
引用
收藏
页码:5889 / 5894
页数:6
相关论文
共 17 条
[1]   SHARP SUFFICIENT CONDITIONS FOR THE OBSERVATION, CONTROL, AND STABILIZATION OF WAVES FROM THE BOUNDARY [J].
BARDOS, C ;
LEBEAU, G ;
RAUCH, J .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1992, 30 (05) :1024-1065
[2]   EXPONENTIAL DECAY OF ENERGY OF EVOLUTION-EQUATIONS WITH LOCALLY DISTRIBUTED DAMPING [J].
CHEN, G ;
FULLING, SA ;
NARCOWICH, FJ ;
SUN, S .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1991, 51 (01) :266-301
[3]   STRONG STABILIZATION OF CONTROLLED VIBRATING SYSTEMS [J].
Couchouron, Jean-Francois .
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2011, 17 (04) :1144-1157
[4]   Stabilisation of second-order bilinear and semilinear systems [J].
Ezzaki, Lahcen ;
Zerrik, El Hassan .
INTERNATIONAL JOURNAL OF CONTROL, 2021, 94 (12) :3483-3490
[6]  
Haraux A., 1989, Portugaliae Mathematica, V46, P245
[7]  
KOMORNIK V, 2005, SPRINGER MG MATH, P1
[8]   Stabilization of the wave equations with potential and indefinite damping [J].
Liu, KS ;
Rao, BP ;
Zhang, X .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 269 (02) :747-769
[9]  
Martinez P., 2000, PORT MATH, V57
[10]  
Pazy A., 2012, Semigroups of linear operators and applications to partial differential equations, V44, DOI DOI 10.1007/978-1-4612-5561-1