December 2007
Systems Science;2007, Vol. 33 Issue 4, p5
Academic Journal
The notion of positive continuous-time time-varying Lyapunov system is introduced. Necessary and sufficient conditions ibr the positivity and the asymptotic stability of the systems are established. Sufficient conditions for reachability are given and the Cayley-Hamilton theorem is extended for time-varying Lyapunov systems. The considerations are illustrated by numerical examples.


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