摘要
本文发展了微分代数系统的稳定性理论 ,讨论了微分代数系统在平衡点近旁的正则性问题 ,给出其在平衡点处的受限形式 ,建立了受限系统Lyapunov稳定性的基本定理 ,得到了微分代数系统平凡解渐近稳定的判别准则 .
In this paper we consider the problem of stability of the differential algebraic system. First of all, we discuss the regularization in equilibrium for nonlinear differential algebraic systems. Lyapunov stability theory for conventional system in a natural way to nonlinear constrained systems, and some stability theorems for nonlinear constrained systems are given. By making use of the regularization results of the nonlinear differential algebraic systems and stability theorems of nonlinear constrained systems. we have obtained some stability results for nonlinear differential algebraic systems
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2000年第1期40-44,共5页
Control Theory & Applications
关键词
微分代数系统
正则性
稳定性
非线性
differential algebraic system
regularization
constrained systems
stability
