Abstract

In this paper we derive algebraic conditions that are both necessary and sufficient for a pair of stable third order linear time-invariant (LTI) systems to have a common quadratic Lyapunov function (CQLF). We also show how these results can be extended to derive necessary and sufficient conditions for the existence of a CQLF for pairs of LTI systems of arbitrary order.

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Topics from this Paper

  • Linear Time-invariant Systems
  • Common Quadratic Lyapunov Function
  • Linear Time-invariant
  • Stable Linear Time-invariant Systems
  • Common Lyapunov
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