Simple germs of corank one affine distributions
Some new results in state space decoupling of multivariable systems. I. A link between geometric approach and matrix methods
Some new results in state space decoupling of multivariable systems. II. Extensions to decoupling of systems with and output feedback decoupling
Some remarks on the Brunovsky canonical form
Structural properties of inverse linear systems
Structure at infinity, model matching and disturbance rejection for linear systems with delays
Structure of linear systems: Geometric and transfer matrix approaches
The technique of splitting operators in perturbation control theory
The paper presents the technique of splitting operators, intended for perturbation analysis of control problems involving unitary matrices. Combined with the technique of Lyapunov majorants and the application of the Banach or Schauder fixed point principles, it allows to obtain rigorous non-local perturbation bounds for a set of sensitivity analysis problems. Among them are the reduction of linear systems into orthogonal canonical forms, the general feedback synthesis problem, and the pole assignment...
The topology of a moduli space for linear dynamical systems.
Toward a notion of canonical form for nonlinear systems
Transformation of nonlinear state equations into the observer form: Necessary and sufficient conditions in terms of one-forms
Necessary and sufficient conditions are given for the existence of state and output transformations, that bring single-input single-output nonlinear state equations into the observer form. The conditions are formulated in terms of differential one-forms, associated with an input-output equation of the system. An algorithm for transformation of the state equations into the observer form is presented and illustrated by an example.
Weak structure at infinity and row-by-row decoupling for linear delay systems
We consider the row-by-row decoupling problem for linear delay systems and show some close connections between the design of a decoupling controller and some particular structures of delay systems, namely the so-called weak structure at infinity. The realization by static state feedback of decoupling precompensators is studied, in particular, generalized state feedback laws which may incorporate derivatives of the delayed new reference.
Weighting function and state equations of linear discrete-time-varying system
Well-formed dynamics under quasi-static state feedback
Well-formed dynamics are a generalization of classical dynamics, to which they are equivalent by a quasi-static state feedback. In case such a dynamics is flat, i.e., equivalent by an endogenous feedback to a linear controllable dynamics, there exists a Brunovský type canonical form with respect to a quasi-static state feedback.
К теории канонических форм систем управления с запаздыванием
Оптимальное быстродействие и степенная проблема моментов