Continuous Stabilizing of First Order Single Input Nonlinear Systems

• 作者: Aref Shahmansoorian
• 来源期刊: 智能控制与自动化(英文)
• 学科: 数学
• 关键词: Control LYAPUNOV Function INVERSE OPTIMALITY Sontag’s FORMULA
• 年，卷（期）: znkzyzdhyw_2011,（3）
• 页码范围: 182-185
• 页数: 4页
• 分类号: O1

摘要

In this paper, stabilizability of first order nonlinear systems by a smooth control law is investigated. The main results are presented by the examples and finally summarized in a lemma. The proof for the lemma is according to Sontag’s formula. In addition, it is explained that using weak control Lyapunov functions in Sontag’s formula generates (possibly nonsmooth) the control law, which globally stabilizes the system-globally asymptotic stability needs more investigation.