63 citations · 88 across the 5 of their papers we have counts for
5 papers
A Small-Gain Theorem for Monotone Systems with Multi-Valued Input-State Characteristics
Michael Malisoff, Patrick de Leenheer
We provide a new global small-gain theorem for feedback interconnections of monotone input-output systems with multi-valued input-state characteristics. This extends a recent small…
Further Remarks on Strict Input-to-State Stable Lyapunov Functions for Time-Varying Systems
Michael Malisoff, Frederic Mazenc
We study the stability properties of a class of time-varying nonlinear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given a…
Infinitesimal Characterizations for Strong Invariance and Monotonicity for Non-Lipschitz Control Systems
Michael Malisoff
We provide new infinitesimal characterizations for strong invariance of multifunctions in terms of Hamiltonian inequalities and tangent cones. In lieu of the standard local Lipschi…
On the Strong Invariance Property for Non-Lipschitz Dynamics
Mikhail Krastanov, Michael Malisoff, Peter Wolenski
We provide a new sufficient condition for strong invariance for differential inclusions, under very general conditions on the dynamics, in terms of a Hamiltonian inequality. In lie…
Further Results on Lyapunov Functions and Domains of Attraction for Perturbed Asymptotically Stable Systems
Michael Malisoff
We present new theorems characterizing robust Lyapunov functions and infinite horizon value functions in optimal control as unique viscosity solutions of partial differential equat…