On Ψ-boundedness and Ψ-stability of matrix Lyapunov systems

被引：16
作者：
Murty M.S.N. [1 ]
Suresh Kumar G. [1 ]
机构：
[1] Department of Applied Mathematics, Acharya Nagarjuna University Post Graduate Centre, Nuzvid
来源：
Journal of Applied Mathematics and Computing | 2008年 / 26卷 / 1-2期
关键词：
Fundamental matrix; Kronecker product; Lebesgue Ψ-integrable function; Lyapunov system; Ψ-(uniform) stability; Ψ-bounded;
D O I：
10.1007/s12190-007-0007-2
中图分类号：
学科分类号：
摘要：
In this paper we obtain a necessary and sufficient condition for the existence of at least one Ψ-bounded solution and also obtained sufficient conditions for Ψ-(uniform) stability of the Kronecker product system associated with the matrix Lyapunov system X'(t)=A(t)X(t)+X(t)B(t)+F(t). © 2007 KSCAM and Springer-Verlag.
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页码：67 / 84
页数：17
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