Generalized Filippov Solution Definition for Systems with Prescribed-Time Convergence

Activity: Talk or presentationInvited talkScience to science

Description

Dynamical systems with prescribed-time convergence often feature a right-hand side exhibiting a singularity at the prescribed convergence time instant. In an open neighborhood of this singularity, classical absolutely continuous Filippov solutions may fail to exist, possibly preventing indefinite continuation of such solutions beyond the singularity. This talk first analyzes the potential problems at the singularity by means of illustrative examples, and then proposes a new generalized Filippov solution definition. Existence conditions for such generalized Filippov solutions are discussed and it is shown that, for prescribed-time systems, in particular, the proposed generalized solutions may always be continued indefinitely beyond the singularity.
Period22 Mar 2023
Held atNational Autonomous University of Mexico, Mexico
Degree of RecognitionInternational