Electronic mail address: (2009)
Matthew Scott, Brian P. Ingalls, Matthew Scott, Brian Ingalls
reaction networks
Control and Dynamical Systems (2008)
Brian P. Ingalls, Eduardo D. Sontag
Consider the system with two output maps ˙x(t) = f(x(t), u(t)) (1) y(t) = h(x(t)), w(t) = g(x(t)), with state x ∈ R and controls u measurable essentially bounded functions into R m. Assume that...
The stoichiometry matrix is typically a redundant description of a metabolic network. It is shown that steady-state analysis of the network depends only on the form of these redundancies and so for...
Brian P. Ingalls, Eduardo D. Sontag, Yuan Wang
Abstract The fundamental Filippov-Wa^zwski Relaxation Theorem states that the solution set of a initial value problem for a locally Lipschitz inclusion is dense in the solution set of the same...
Detectability of Nonlinear Systems under Singular Perturbations (2008)
Leonard P. Vu, Brian P. Ingalls
Abstract — This note addresses system stability under singular perturbations. Specifically, detectability for nonlinear systems is considered. We address a notion of detectability which has been...
A relaxation theorem for differential inclusions with applications to stability properties (2007)
Brian P. Ingalls, Eduardo D. Sontag, Yuan Wang
The fundamental Filippov–Waˇzwski 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 same initial...
A relaxation theorem for differential inclusions with applications to stability properties (2007)
Brian P. Ingalls, Eduardo D. Sontag, Yuan Wang
The fundamental Filippov–Waˇzwski 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 same initial...
Measurement to error stability: a notion of partial detectability for nonlinear systems (2007)
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 output is to be kept...
Autonomously oscillating biochemical systems: parametric sensitivity of extrema and period (2004)
This work addresses sensitivity analysis of autonomously oscillating biochemical systems. Building on results from the engineering literature, a general analysis is presented which addresses key...
A frequency domain approach to sensitivity analysis of biochemical systems (2004)
Steady state sensitivity analysis, as exemplified by work in Metabolic Control Analysis and Biochemical Systems Theory, has proved a potent tool in the analysis of biochemical networks. A limitation...
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 primarily with system...
A Relaxation Theorem for Differential Inclusions with Applications to Stability Properties (2002)
Ingalls, Brian P., Sontag, Eduardo D., Wang, Yuan
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 same initial value...
Ingalls, Brian P., Sauro, Herbert M.
A sensitivity analysis of general stoichiometric networks is considered. The results are presented as a generalization of Metabolic Control Analysis, which has been concerned primarily with system...
Measurement to Error Stability: a Notion of Partial Detectability for Nonlinear Systems (2002)
Ingalls, Brian P., Sontag, Eduardo D., Wang, Yuan
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 output is to be kept...