MA representation of 2D systems
Matricial decomposition of systems over rings.
Matrix quadratic equations column/row reduced factorizations and an inertia theorem for matrix polynomials
It is shown that a certain Bezout operator provides a bijective correspondence between the solutions of the matrix quadratic equation and factorizatons of a certain matrix polynomial (which is a specification of a Popov-type function) into a product of row and column reduced polynomials. Special attention is paid to the symmetric case, i.e. to the Algebraic Riccati Equation. In particular, it is shown that extremal solutions of such equations correspond to spectral factorizations of . The proof...
Maxwell strata in sub-Riemannian problem on the group of motions of a plane
The left-invariant sub-Riemannian problem on the group of motions of a plane is considered. Sub-Riemannian geodesics are parameterized by Jacobi's functions. Discrete symmetries of the problem generated by reflections of pendulum are described. The corresponding Maxwell points are characterized, on this basis an upper bound on the cut time is obtained.
Measures of controllability.
Measuring and maintaining consistency: a hybrid FTF algorithm
Due to the versatility as well as its ease of implementation, the Fast Transversal Filters algorithm is attractive for many adaptive filtering applications. However, it is not widely used because of its undesirable tendency to diverge when operating in finite precision arithmetic. To compensate, modifications to the algorithm have been introduced that are either occasional (performed when a predefined condition(s) is violated) or structured as part of the normal update iteration. However, in neither...
Mechanical and thermal null controllability of thermoelastic plates and singularity of the associated mimimal energy function
Meromorphic observer-based pole assignment in time delay systems
The paper deals with a novel method of control system design which applies meromorphic transfer functions as models for retarded linear time delay systems. After introducing an auxiliary state model a finite-spectrum observer is designed to close a stabilizing state feedback. The observer finite spectrum is the key to implement a state feedback stabilization scheme and to apply the affine parametrization in controller design. On the basis of the so- called RQ-meromorphic functions an algebraic solution...
Mesures semi-classiques et mesures de défaut
Minimal degree solutions for the Bezout equation
Minimal nilpotent bases for Goursat distributions of coranks not exceeding six.
Minimal positive realizations: a survey of recent results and open problems
In this survey paper some recent results on the minimality problem for positive realizations are discussed. In particular, it is firstly shown, by means of some examples, that the minimal dimension of a positive realization of a given transfer function, may be much “larger” than its McMillan degree. Then, necessary and sufficient conditions for the minimality of a given positive realization in terms of positive factorization of the Hankel matrix are given. Finally, necessary and sufficient conditions...
Minimal realization for positive multivariable linear systems with delay
The realization problem for positive multivariable discrete-time systems with one time delay is formulated and solved. Conditions for the solvability of the realization problem are established. A procedure for the computation of a minimal positive realization of a proper rational matrix is presented and illustrated by an example.
Minimal realizations of the inverse of a polynomial matrix using finite and infinite Jordan pairs
Minimal-time delay feedback
Minimax LQG control
This paper presents an overview of some recent results concerning the emerging theory of minimax LQG control for uncertain systems with a relative entropy constraint uncertainty description. This is an important new robust control system design methodology providing minimax optimal performance in terms of a quadratic cost functional. The paper first considers some standard uncertainty descriptions to motivate the relative entropy constraint uncertainty description. The minimax LQG problem under...
Minimum energy control of fractional descriptor positive discrete-time linear systems
Minimum principle and controllability for multiparameter discrete inclusions via derived cones.
Minimum variance control of discrete-time and continuous-time LTI MIMO systems - a new unified framework
Miss analysis in Lambert interceptions with application to a new guidance law.