Mikhail Krastanov

On the controllability of switching linear systems

This note presents a necessary and sufficient condition for small time controllability of a linear switching system (that is, a collection of linear time-invariant control systems, where a trajectory is any concatenation of trajectories of the individual systems). This result extends the controllability condition recently obtained for unconstrained linear switching systems to the case of control which is constrained in a cone.

An Euler--Newton Continuation Method for Tracking Solution Trajectories of Parametric Variational Inequalities

A finite-dimensional variational inequality parameterized by

Nonlinear Stabilizing Control of an Uncertain Bioprocess Model

t\in [0,1]

Brief paper: On the constrained small-time controllability of linear systems

is studied under the assumption that each point of the graph of its generally set-valued solution mapping is a point of strongly regularity. It is shown that there are finitely many Lipschitz continuous functions on

Forward invariant sets, homogeneity and small-time local controllability

[0,1]

A Pontryagin Maximum Principle for Infinite-Dimensional Problems

whose graphs do not intersect each other such that for each value of the parameter the set of values of the solution mapping is the union of the values of these functions. Moreover, the property of strong regularity is uniform with respect to the parameter along any such function graph. An Euler--Newton continuation method for tracking a solution trajectory is introduced and demonstrated to have

On the asymptotic stabilization of an uncertain bioprocess model

l^\infty

On the Existence of Solutions to Differential Inclusions with Nonconvex Right-Hand Sides

accuracy of order

Volterra series and numerical approximations of ODEs

O(h^4)

A Necessary Condition for Small Time Local Controllability

, thus generalizing a known error estimate for equations. Two examples of tracking economic equilibrium parametrically illustrate the theoretical results. (A correction is attached.)