On the construction of quadratically stable switched linear systems with multiple component systems

We consider the stability of switched linear systems with multiple component systems of the n¡th order. Using ideas from dissipative dynamical systems we construct a set of LTI systems sharing a quadratic Lyapunov function. Switched systems composed of subsystems from this set are exponentially stable for arbitrary switching sequences. © Copyright 2008 IEEE – All Rights Reserved [accessed June 12, 2008