Second-order counterexamples to the discrete-time Kalman conjecture

• William Paul Heath ^[1] ; Joaquin Carrasco ^[1] ; Manuel de la Sen ^[2]
  1. [1] University of Manchester

     University of Manchester

     Reino Unido

     
  2. [2] Universidad del País Vasco/Euskal Herriko Unibertsitatea

     Universidad del País Vasco/Euskal Herriko Unibertsitatea

     Leioa, España

     
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 60, 2015, págs. 140-144
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • The Kalman conjecture is known to be true for third-order continuous-time systems. We show that it is false in general for second-order discrete-time systems by construction of counterexamples with stable periodic solutions. We discuss a class of second-order discrete-time systems for which it is true provided the nonlinearity is odd, but false in general. This has strong implications for the analysis of saturated systems.