63 citations · 117 across the 6 of their papers we have counts for
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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…
Bounded-From-Below Solutions of the Hamilton-Jacobi Equation for Optimal Control Problems with Exit Times: Vanishing Lagrangians, Eikonal Equations, and Shape-From-Shading
Michael Malisoff
We study the Hamilton-Jacobi equation for undiscounted exit time control problems with general nonnegative Lagrangians using the dynamic programming approach. We prove theorems cha…
Global Asymptotic Controllability Implies Input to State Stabilization
Michael Malisoff, Ludovic Rifford, Eduardo Sontag
We study nonlinear systems with observation errors. The main problem addressed in this paper is the design of feedbacks for globally asymptotically controllable (GAC) control affin…