Converse Theorems for Final-stability

This paper deals with the converse theory for some aspects offinal-stability, for which a general qualitative theory wasfirst presented by the author in 1970. The theory of final-stabilityis concerned with the behaviour of the trajectories of a systemof differential equations with respect to two arbitrary setsand a finite interval of time.     

Final-stability with some Applications

This paper discusses the behaviour of the trajectories of asystem of differential equations with respect to two arbitrarysets and on a finite interval of time. The theory is an extensionof known work on finite-time stability using Liapunov techniquesbut allows controllability to be included as a special typeof stability. A number of examples illustrate the applicationof the theorems.