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摘要: 回顾了控制理论的发展, 并讨论了线性系统、单平衡位置系统的本质特征. 重点介绍了多平衡点非线性系统的本质非线性特征, 复杂多彩的动态特性, 包括自振、混沌、同宿轨、异宿轨, 特别是讨论了高阶系统的复杂性. 进一步讨论了控制介入到本质非线性系统后可能的发展前景与挑战.Abstract: This paper reviews the development of control theory and the characteristics of linear systems and systems with unique equilibrium. Intrinsic nonlinear characteristics and complex dynamical behaviors are discussed for nonlinear systems with multiple equilibria, including self-oscillation, chaos, homoclinicorbit and heteroclinic orbit, especially for higher order systems. Further, challenges and opportunities are discussed when control is involved with intrinsic nonlinear characteristics.
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Key words:
- Intrinsic nonlinearity /
- multiple equilibria /
- global properties
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