36 citations · 104 across the 27 of their papers we have counts for
7 papers · 2 filters
Remarks regarding the gap between continuous, Lipschitz, and differentiable storage functions for dissipation inequalities appearing in control
Lionel Rosier, Eduardo D. Sontag
This paper deals with the regularity of solutions of the Hamilton-Jacobi Inequality which arises in H-infinity control. It shows by explicit counterexamples that there are gaps bet…
Input-Output-to-State Stability
Mikhail Krichman, Eduardo D. Sontag, Yuan Wang
This work explores Lyapunov characterizations of the input-output-to-state stability (IOSS) property for nonlinear systems. The notion of IOSS is a natural generalization of the st…
Further equivalences and semiglobal versions of integral input to state stability
David Angeli, Eduardo Sontag, Yuan Wang
This paper continues the study of the integral input-to-state stability (IISS) property. It is shown that the IISS property is equivalent to one which arises from the consideration…
Stability and stabilization: Discontinuities and the effect of disturbances
Eduardo D. Sontag
In this expository paper, which covers material presented at the NATO Advanced Study Institute "Nonlinear Analysis, Differential Equations, and Control" (Montreal, Jul/Aug 1998), w…
Lyapunov Characterizations of Input to Output Stability
Eduardo D. Sontag, Y. Wang
This paper presents necessary and sufficient characterizations of several notions of input to output stability. Similar Lyapunov characterizations have been found to play a key rol…
Further results on controllability of recurrent neural networks
Eduardo D. Sontag, Y. Qiao
This paper studies controllability properties of recurrent neural networks. The new contributions are: (1) an extension of the result in the previous paper "Complete controllabilit…