O diferenciální rovnici
O Diracově funkci v nelineárních diferenciálních rovnicích
O jistých řešeních funkční rovnice
O nejednoznačnosti řešení soustavy diferenciálních rovnic
O nekim osobinama rešenja jednačina
O některých nelineárních diferenciálních rovnicích třetího řádu
O některých vlastnostech homogenní lineární diferenciální rovnice čtvrtého řádu
O některých vlastnostech lineárních diferenciálních rovnic
O niektorých vlastnostiach riešení diferenciálnej rovnice tvaru
O polynomických řešeních homogenní lineární diferenciální rovnice druhého řádu
O локализации собственных чисел одной спектральной задачи.
O периодических решениях систем дифференциальных уравнений второго порядка
Oblique boundary value problems for nonlinear parabolic equations
Observer design for systems with unknown inputs
Design procedures are proposed for two different classes of observers for systems with unknown inputs. In the first approach, the state of the observed system is decomposed into known and unknown components. The unknown component is a projection, not necessarily orthogonal, of the whole state along the subspace in which the available state component resides. Then, a dynamical system to estimate the unknown component is constructed. Combining the output of the dynamical system, which estimates the...
Observer-based adaptive sliding mode fault-tolerant control for the underactuated space robot with joint actuator gain faults
An adaptive sliding mode fault-tolerant controller based on fault observer is proposed for the space robots with joint actuator gain faults. Firstly, the dynamic model of the underactuated space robot is deduced combining conservation law of linear momentum with Lagrange method. Then, the dynamic model of the manipulator joints is obtained by using the mathematical operation of the block matrices, hence the measurement of the angular acceleration of the base attitude can be omitted. Subsequently,...
Observers for Canonic Models of Neural Oscillators
We consider the problem of state and parameter estimation for a class of nonlinear oscillators defined as a system of coupled nonlinear ordinary differential equations. Observable variables are limited to a few components of state vector and an input signal. This class of systems describes a set of canonic models governing the dynamics of evoked potential in neural membranes, including Hodgkin-Huxley, Hindmarsh-Rose, FitzHugh-Nagumo, and Morris-Lecar...
Obyčejné diferenciální rovnice [Book]
Omogeneizzazione di un'equazione differenziale ordinaria avente struttura a scacchiera
Si studia l'omogeneizzazione periodica di una particolare equazione differenziale ordinaria. Si studiano alcune proprietà dell'equazione omogeneizzata e in certi casi se ne trova la formula esplicita.
On 1-regular ordinary differential operators
Solutions to singular linear ordinary differential equations with analytic coefficients are found in the form of Laplace type integrals.
On a bifurcation problem arising in cholesteric liquid crystal theory
In a cholesteric liquid crystal the director field tends to form a right-angle helicoid around a twist axis in order to minimize the internal energy; however, a fixed alignment of the director field at the boundary (strong anchoring) can give rise to distorted configurations of the director field, as oblique helicoid, in order to save energy. The transition to this distorted configurations depend on the boundary conditions and on the geometry of the liquid crystal, and it is known as Freedericksz...