Existence of Solutions of Riccati Differential Equations


KILIÇASLAN S. , Banks S. P.

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, cilt.134, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 134 Konu: 3
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1115/1.4005496
  • Dergi Adı: JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME

Özet

A necessary condition for the existence of the solution of the Riccati differential equation for both linear, time varying systems and nonlinear systems is introduced. First, a necessary condition for the existence of the solution of the Riccati differential equation for linear, time varying systems is proposed. Then, the sufficient conditions to satisfy the necessary condition are given. After that, the existence of the solution of the Riccati differential equation is generalized for nonlinear systems. [DOI: 10.1115/1.4005496]