Title :
On the existence and uniqueness of solutions for nonsmooth systems
Author :
Venkatasubramanian, Vaithianathan ; Mantri, Ravi ; Saberi, Ali
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA
Abstract :
This paper develops weaker conditions for guaranteeing the existence/uniqueness properties of solutions to ordinary differential equations by exploiting a novel notion of solutions called “order-r solutions” that was proposed recently. The conditions could form the basis for designing nonsmooth controls involving non-integer exponents
Keywords :
control system analysis; control systems; differential equations; initial value problems; Lipschitz condition; initial value problem; noninteger exponent; nonsmooth control; nonsmooth systems; ordinary differential equations; uniqueness; Computer science; Differential equations; Neural networks; Power system modeling; Sufficient conditions; System identification;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.531197
