5 citations · 9 across the 2 of their papers we have counts for
6 papers
A Relaxation Theorem for Differential Inclusions with Applications to Stability Properties
Brian P. Ingalls, Eduardo D. Sontag, Yuan Wang
The fundamental Filippov-Wazwski Relaxation Theorem states that the solution set of an initial value problem for a locally Lipschitz inclusion is dense in the solution set of the s…
Sensitivity Analysis of Stoichiometric Networks: An Extension of Metabolic Control Analysis to Non-equilibrium Trajectories
Brian P. Ingalls, Herbert M. Sauro
A sensitivity analysis of general stoichiometric networks is considered. The results are presented as a generalization of Metabolic Control Analysis, which has been concerned prima…
Measurement to Error Stability: a Notion of Partial Detectability for Nonlinear Systems
Brian P. Ingalls, Eduardo D. Sontag, Yuan Wang
In previous work the notion of input to state stability (ISS) has been generalized to systems with outputs, yielding a number of useful concepts. When considering a system whose ou…
A Small-Gain Theorem with Applications to Input/Output Systems, Incremental Stability, Detectability, and Interconnections
Brian Ingalls, Eduardo D. Sontag
A general ISS-type small-gain result is presented. It specializes to a small-gain theorem for ISS operators, and it also recovers the classical statement for ISS systems in state-s…
Integral-Input-Output to State Stability
Brian Ingalls
A notion of detectability for nonlinear systems is discussed. Within the framework of ``input to state stability'' (ISS), a dual notion of ``output to state stability'' (OSS), and…
An Infinite-Time Relaxation Theorem for Differential Inclusions
Brian Ingalls, Eduardo D. Sontag, Yuan Wang
The fundamental relaxation result for Lipschitz differential inclusions is the Filippov-Wazewski Relaxation Theorem, which provides approximations of trajectories of a relaxed incl…