1,721,011 research outputs found
Efficient algorithms for geometric control of systems over rings
No full textThe computational algebra techniques described in this paper constitute a tool, efficient and easy to implement using the freely available software CoCoA. They open the way to an effective use of the geometric approach in dealing with dynamical systems over rings. Systems with coefficients in a ring can be used to model several interesting classes of dynamical systems such as parameter dependent systems or delay differential systems. The paper describes in detail, how the algorithms contained in the package "control.cpkg can be used to practically solve decoupling problems for delay differential systems
Accelerazione del metodo del gradiente coniugato per l' autovalore e l' autovettore minimo di matrici sparse simmetriche
No full textAutovalori di matrici sparse simmetriche con un metodo accelerato del gradiente coniugato
No full textUnknown-input state observers for switching linear structured systems
No full textThis work deals with the problem of designing state observers in the presence of unknown inputs for switching linear structured systems – i.e., dynamical systems which consist of a finite indexed family of linear structured systems and a switching signal indicating the active system at each time instant. Switching linear structured systems lend themselves to be described both by families of parametric state space models and by families of directed graphs, in addition to the signal ruling the switching from one mode to another. Hence, the approach adopted herein is blended. It leverages on structural notions stemmed from the geometric approach and it exploits interpretations grounded on the graph theory. The notions of switching conditioned invariant subset and switching essential output injection play a key role in the derivation of the main result, a constructive necessary and sufficient condition for solvability of the unknown-input state observation problem. The methodological discussion is illustrated by two examples
Minimal eigenvalue of large sparse matrices by an efficient reverse power conjugate gradient scheme
No full textMeasurable disturbance decoupling for impulsive switching linear systems
No full textThis work deals with the problem of annihilating the effect of a disturbance accessible for measurement on the output of an impulsive
switching linear system: namely, a hybrid system whose state is subject to abrupt discontinuities at the same times when its dynamics are subject to switches. Jumping and switching are assumed to be instantaneously detectable and to satisfy a minimum dwell time requisite. The better exploitation of the information available on the disturbance is achieved through feedforward compensation. A necessary and sufficient condition for the solvability of the problem is proven. In particular, the proof of sufficiency is constructive, since it outlines the synthesis procedure for the sought compensator
The Autonomous Regulator Problem for Linear, Time-Delay Systems: A Geometric Approach
No full textThe aim of this paper is to show the applicability of geometric techniques to a regulation problem for linear, time-delay systems. Given a plant whose dynamics equations include delays, the problem we consider consists in finding a feedback regulator which guarantees asymptotic stability of the regulation loop and asymptotic command following of the reference signal generated by an exosystem, for any initial condition of the overall system. By associating to the time-delay plant a corresponding abstract system with coefficients in a ring, it is possible to place our investigation in a finite dimensional algebraic context, where intuition and results obtained in the classical case, that is without delays, may be exploited
A geometric approach to the general autonomous regulator problem in the time-delay framework
No full textThe aim of this paper is to show the applicability of geometric techniques to a regulation problem for linear, time-delay systems. Given a plant whose dynamics equations include delays and an exosystem that generates a reference signal, the problem we consider consists in finding a feedback regulator which guarantees asymptotic stability of the regulation loop and asymptotic command following of the reference signal, for any initial condition of the overall system in the presence of disturbances. By associating to the time-delay plant a corresponding abstract system with coefficients in a ring, it is possible to place our investigation in a finite dimensional algebraic context, where intuition and results obtained in the classical case, that is without delays, may be exploited. In particular, using tools and methods of the geometric approach to systems with coefficients in a ring, sufficient conditions for the solvability of the considered problem are found and a constructive procedure, which works under specific hypotheses, is given
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