Technical communique: Closed-form solution for a class of continuous-time algebraic Riccati equations

  • Authors:

  • Alejandro J. Rojas

  • Affiliations:

  • ARC Centre of Excellence for Complex Dynamic Systems and Control, The University of Newcastle, Newcastle, NSW 2308, Australia

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2010

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Abstract

In the present paper we obtain a closed-form solution for a class of continuous-time algebraic Riccati equations (AREs) with vanishing state weight. The ARE in such a class solves a minimum energy control problem. The obtained closed-form solution is used to prove a link between two independent fundamental limitation results in control over networks.