Monotonicity and Parametric Riccati Equation

  • Hongjiu Yang
  • Yuanqing Xia
  • Qing Geng
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 193)


Estimation of the DoA is a key of control systems with actuator saturation which is applicable to various literatures [2, 26]. Ellipsoids are usually used as a shape of the DoA [93, 145]. Researches on the DoA have been given for uncertain polynomial continuous-time systems in [19]. Analytical approximation of a maximal invariant ellipsoid has been discussed for discrete-time systems with bounded controls [199]. The DoA has been given for linear time-invariant systems subject to disturbances and state constraints [133]. Monotonicity of a maximal invariant ellipsoid has been analyzed for a linear system with actuator saturation [197].


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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • Hongjiu Yang
    • 1
  • Yuanqing Xia
    • 2
  • Qing Geng
    • 3
  1. 1.School of Electrical and Information EngineeringTianjin UniversityTianjinChina
  2. 2.School of AutomationBeijing Institute of TechnologyBeijingChina
  3. 3.Institute of Electrical EngineeringYanshan UniversityQinhuangdaoChina

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