constant gain state feedback stabilization of stochastic hybrid systems with Wiener process.
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Displaying 1 – 20 of 1697
2-D polynomial equations
Michael Šebek (1983)
Kybernetika
2-Regularity and 2-Normality Conditions for Systems With Impulsive Controls
Natal'ya Pavlova (2007)
The Yugoslav Journal of Operations Research
A 2D system approach to the design of a robust modified repetitive-control system with a dynamic output-feedback controller
Lan Zhou, Jinhua She, Shaowu Zhou (2014)
International Journal of Applied Mathematics and Computer Science
This paper is concerned with the problem of designing a robust modified repetitive-control system with a dynamic outputfeedback controller for a class of strictly proper plants. Employing the continuous lifting technique, a continuous-discrete two-dimensional (2D) model is built that accurately describes the features of repetitive control. The 2D control input contains the direct sum of the effects of control and learning, which allows us to adjust control and learning preferentially. The singular-value...
A backstepping approach to ship course control
Anna Witkowska, Mirosław Tomera, Roman Smierzchalski (2007)
International Journal of Applied Mathematics and Computer Science
As an object of course control, the ship is characterised by a nonlinear function describing static manoeuvring characteristics that reflect the steady-state relation between the rudder deflection and the rate of turn of the hull. One of the methods which can be used for designing a nonlinear ship course controller is the backstepping method. It is used here for designing two configurations of nonlinear controllers, which are then applied to ship course control. The parameters of the obtained nonlinear...
A boundary-value problem for linear PDAEs
Wiesław Marszałek, Zdzisław Trzaska (2002)
International Journal of Applied Mathematics and Computer Science
We analyze a boundary-value problem for linear partial differential algebraic equations, or PDAEs, by using the method of the separation of variables. The analysis is based on the Kronecker-Weierstrass form of the matrix pencil[A,-λ_n B]. A new theorem is proved and two illustrative examples are given.
A Brauer’s theorem and related results
Rafael Bru, Rafael Cantó, Ricardo Soto, Ana Urbano (2012)
Open Mathematics
Given a square matrix A, a Brauer’s theorem [Brauer A., Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices, Duke Math. J., 1952, 19(1), 75–91] shows how to modify one single eigenvalue of A via a rank-one perturbation without changing any of the remaining eigenvalues. Older and newer results can be considered in the framework of the above theorem. In this paper, we present its application to stabilization of control systems, including the case when the system...
A classification of generalised state space reduction methods for linear multivariable systems
Nikolas P. Karampetakis, Antonis I. G. Vardulakis, Ashley Clive Pugh (1995)
Kybernetika
A classification of linear controllable systems
Pavol Brunovský (1970)
Kybernetika
A comparative analysis of recent identification approaches for discrete-event systems.
Estrada-Vargas, Ana Paula, López-Mellado, Ernesto, Lesage, Jean-Jacques (2010)
Mathematical Problems in Engineering
A computational method for reduced-order observers in linear systems
Vassilis L. Syrmos, Petr Zagalak (1996)
Kybernetika
A computationally efficient stable dual-mode type nonlinear predictive control algorithm
Maciej Ławryńczuk, Wojciech Tadej (2008)
Control and Cybernetics
A continuation method for motion-planning problems
Yacine Chitour (2006)
ESAIM: Control, Optimisation and Calculus of Variations
We apply the well-known homotopy continuation method to address the motion planning problem (MPP) for smooth driftless control-affine systems. The homotopy continuation method is a Newton-type procedure to effectively determine functions only defined implicitly. That approach requires first to characterize the singularities of a surjective map and next to prove global existence for the solution of an ordinary differential equation, the Wazewski equation. In the context of the MPP, the aforementioned...
A continuation method for motion-planning problems
Yacine Chitour (2005)
ESAIM: Control, Optimisation and Calculus of Variations
We apply the well-known homotopy continuation method to address the motion planning problem (MPP) for smooth driftless control-affine systems. The homotopy continuation method is a Newton-type procedure to effectively determine functions only defined implicitly. That approach requires first to characterize the singularities of a surjective map and next to prove global existence for the solution of an ordinary differential equation, the Wazewski equation. In the context of the MPP, the aforementioned...
A contribution to the parameter estimation of a certain class of dynamical systems
Miloslav Hájek (1972)
Kybernetika
A controllability result for the -D isentropic Euler equation
Olivier Glass (2005)
Journées Équations aux dérivées partielles
A decomposition-based control strategy for large, sparse dynamic systems.
Zečević, Aleksandar I., Šiljak, Dragoslav D. (2005)
Mathematical Problems in Engineering
A differential geometric setting for dynamic equivalence and dynamic linearization
Jean-Baptiste Pomet (1995)
Banach Center Publications
This paper presents an (infinite-dimensional) geometric framework for control systems, based on infinite jet bundles, where a system is represented by a single vector field and dynamic equivalence (to be precise: equivalence by endogenous dynamic feedback) is conjugation by diffeomorphisms. These diffeomorphisms are very much related to Lie-Bäcklund transformations. It is proved in this framework that dynamic equivalence of single-input systems is the same as static equivalence.
A direct approach to the Weiss conjecture for bounded analytic semigroups
Bounit Hamid, Driouich Adberrahim, El-Mennaoui Omar (2010)
Czechoslovak Mathematical Journal
We give a new proof of the Weiss conjecture for analytic semigroups. Our approach does not make any recourse to the bounded -calculus and is based on elementary analysis.
A double window state observer for detection and isolation of abrupt changes in parameters
Jędrzej Byrski, Witold Byrski (2016)
International Journal of Applied Mathematics and Computer Science
The paper presents a new method for diagnosis of a process fault which takes the form of an abrupt change in some real parameter of a time-continuous linear system. The abrupt fault in the process real parameter is reflected in step changes in many parameters of the input/output model as well as in step changes in canonical state variables of the system. Detection of these state changes will enable localization of the faulty parameter in the system. For detecting state changes, a special type of...
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