On the Stabilizability of Control Constrained Linear Systems (2008)
Mikhail Krastanov, Vladimir Veliov, X Ax U
Abstract. We study the problem of stabilization of time-invariant linear systems with controls which are constrained in a cone. Under small-time local controllability conditions we propose a simple...
On the Strong Invariance Property for Non-Lipschitz Dynamics ∗ (2008)
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 lieu of the usual...
The intrinsic mountain pass principle (2007)
Nadezhda Ribarska, Tsvetomir Tsachev, Mikhail Krastanov
Abstract-- In this note we present a general mountain pass principle dropping any smoothness or even continuity assumptions on the functional. As a corollary, we prove existence of a point with an...
On the Strong Invariance Property for Non-Lipschitz Dynamics (2004)
Krastanov, Mikhail, Malisoff, Michael, Wolenski, Peter
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 lieu of the usual...