The article focuses on the mathematical equations for the stability of a particular class of
controllable systems. It mentions several methods used for the smooth nonlinear system's …

Utilizing the method of Lyapunov functions and matrix calculus, design of a nonlinear stable
invariant system of automatic control is implemented. Sufficient conditions of invariance with …

The necessary and sufficient conditions of the absolute stability of certain controlled systems
with many nonlinear elements have been obtained. It is shown that the problem of MA …

(1) where x∈ n is the phase vector of the system; y, u∈ l are the output and input vectors,
respectively (we assume that the dimensions of y and u coincide, ie, the system is square); …

The problem of synthesizing stable linear control systems is considered. The possibility of
constructing a regulator stabilizing a system which contains unknown parameters is …

Consideration was given to the problem of stabilization for one class of systems that are
nonlinear and uncontrollable in the first approximation. The stabilization problem was solved …

We consider mechatronic systems with nonlinear geometric constraints, cyclic coordinates
and one or more electric drives with DC motors. It is assumed that control is carried out by …

The article discusses the construction of common stabilizer mathematical model of linear
nonstationary systems. It mentions that simultaneous stabilization was done to establish a …

The problem of stabilization of linear nonstationary systems containing a linear delay is
solved. The right-hand side of these systems is proportional to a small positive parameter. A …

The paper deals with the problem of stabilizing the equilibrium states of a family of non-
linear non-autonomous systems. It is assumed that the nominal system is a linear controlled …