Equilibrium Points of Second-Order Linear Systems with Single Saturated Input

  • Shuli Guo
  • Lina Han


This chapter is dedicated to presenting equilibrium points for second-order differential systems with single saturated input. The focus of this chapter is on the so-called 0–1 algebra-geometry type structure equations and their equilibrium points under many cases. The chapter attempts to provide constructive qualitative methods on equilibrium points for second-order linear systems with saturated inputs. By defining new equilibrium points, the relationship between equilibrium points is discussed for second-order linear systems with a single saturated input. Moreover, many interesting examples, including their corresponding stability and possible limited cycles, are effectively shown to illustrate the above results.



This work is Supported by National Key Research and Development Program of China (2017YFF0207400).


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© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Key Laboratory of Complex System Intelligent Control and Decision, School of AutomationBeijing Institute of TechnologyBeijingChina
  2. 2.Department of Cardiovascular Internal Medicine of Nanlou Branch, National Clinical Research Center for Geriatric DiseasesChinese PLA General HospitalBeijingChina

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