Temat: Lyapunov function - Prolib Integro

Skocz do pozycji: 1.

Tytuł:: On the stability of continuous-time positive switched systems with rank one difference
Autorzy:: Fornasini, E.
Valcher, M. E.
Tematy:: switched system
positive linear system
asymptotic stability
linear copositive Lyapunov function quadratic Lyapunov function; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Powiązania:: https://bibliotekanauki.pl/articles/971053.pdf Link otwiera się w nowym oknie
Opis:: Continuous-time positive systems, switching among p subsystems whose matrices differ by a rank one matrix, are introduced, and a complete characterization of the existence of a common linear copositive Lyapunov function for all the subsystems is provided. Also, for this class of systems it is proved that a well-known necessary condition for asymptotic stability, namely the fact that All convex combinations of the system matrices are Hurwitz, becomes equivalent to the generally weaker condition that the systems matrices are Hurwitz. In the special case of two-dimensional systems, this allows for drawing a complete characterization of asymptotic stability. Finally, the case when there are only two subsystems, possibly with commuting matrices, is investigated.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Some constructions of Lyapunov function for linear extensions of dynamical systems
Autorzy:: Kulik, V.
Tkocz-Piszczek, E.
Tematy:: Lyapunov function
invariant manifold
invariant torus; Pokaż więcej
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Powiązania:: https://bibliotekanauki.pl/articles/255758.pdf Link otwiera się w nowym oknie
Opis:: In this note we consider some sets of linear extensions of dynamical systems and research regularity by means of the sign-changing Lyapunov function. We examine some constructions of Lyapunov functions for given systems.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Lyapunov function for cosmological dynamical system
Autorzy:: Szydłowski, Marek
Krawiec, Adam
Opis:: We prove the asymptotic global stability of the de Sitter solution in the Friedmann-Robertson-Walker conservative and dissipative cosmology. In the proof we construct a Lyapunov function in an exact form and establish its relationship with the first integral of dynamical system determining evolution of the flat Universe. Our result is that de-Sitter solution is asymptotically stable solution for general form of equation of state p = (ρ, H), where dependence on the Hubble function H means that the effect of dissipation are included.
Dostawca treści:: Repozytorium Uniwersytetu Jagiellońskiego

Artykuł

Skocz do pozycji: 4.

Tytuł:: Control design of fin roll stabilization in beam seas based on Lyapunov’s direct method
Autorzy:: Karakas, Safak C.
Ucer, Erdem
Pesman, Emre
Tematy:: fin stabilizers
Lyapunov function
roll motion
white noise; Pokaż więcej
Wydawca:: Politechnika Gdańska. Wydział Inżynierii Mechanicznej i Okrętownictwa
Powiązania:: https://bibliotekanauki.pl/articles/258999.pdf Link otwiera się w nowym oknie
Opis:: The aim of this study is to design a controller based on Lyapunov’s direct method for fin roll stabilization systems for ships in beam seas. A third order mathematical model consisting of uncoupled roll motion of a ship and fin hydraulic system dynamics is considered. In the model, random wind force is defined by Gaussian white noise. Both controlled and uncontrolled roll motions are presented considering stall effect by roll-time history and safe basin graphics. It is observed from the results that fin control system is successful to reduce erosion percentages of safe basins and roll amplitudes.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: Feedback Stabilization of Continuous Systems by Adding an Integrator
Autorzy:: Outbib, R.
Aggoune, W.
Tematy:: feedback stabilization
nonlinear systems
continuous systems
Lyapunov function; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Powiązania:: https://bibliotekanauki.pl/articles/908264.pdf Link otwiera się w nowym oknie
Opis:: This note is devoted to the problem of global stabilization of continuous systems by adding an integrator. The goal is to prove that if a continuous non-linear system dot x =f(x,u) is globally asymptotically stable at the origin for u equiv 0, then the augmented system obtained by adding an integrator is stabilizable by means of a continuous feedback.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 6.

Tytuł:: A constructive method for solving stabilization problems
Autorzy:: Azhmyakov, Vadim
Tematy:: differential inclusions
difference inclusions
Lyapunov function
asymptotic stability; Pokaż więcej
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Powiązania:: https://bibliotekanauki.pl/articles/729257.pdf Link otwiera się w nowym oknie
Opis:: The problem of asymptotic stabilization for a class of differential inclusions is considered. The problem of choosing the Lyapunov functions from the parametric class of polynomials for differential inclusions is reduced to that of searching saddle points of a suitable function. A numerical algorithm is used for this purpose. All the results thus obtained can be extended to cover the discrete systems described by difference inclusions.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 7.

Tytuł:: Stability and controllability of switched systems
Autorzy:: Klamka, J.
Czornik, A.
Niezabitowski, M.
Tematy:: hybrid systems
stability
Lyapunov function
characteristic exponents
controllability; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:: https://bibliotekanauki.pl/articles/200548.pdf Link otwiera się w nowym oknie
Opis:: The study of properties of switched and hybrid systems gives rise to a number of interesting and challenging mathematical problems. This paper aims to briefly survey recent results on stability and controllability of switched linear systems. First, the stability analysis for switched systems is reviewed. We focus on the stability analysis for switched linear systems under arbitrary switching, and we highlight necessary and sufficient conditions for asymptotic stability. After that, we review the controllability results.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 8.

Tytuł:: A proof of convergence of general stochastic search for global minimum
Autorzy:: Ombach, Jerzy
Dostawca treści:: Repozytorium Uniwersytetu Jagiellońskiego

Artykuł

Skocz do pozycji: 9.

Artykuł

Skocz do pozycji: 10.

Artykuł

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