Tracking invariant manifolds without differential forms.
Tracking with prescribed transient behaviour
Universal tracking control is investigated in the context of a class of -input, -output dynamical systems modelled by functional differential equations. The class encompasses a wide variety of nonlinear and infinite-dimensional systems and contains – as a prototype subclass – all finite-dimensional linear single-input single-output minimum-phase systems with positive high-frequency gain. The control objective is to ensure that, for an arbitrary -valued reference signal of class (absolutely...
Tracking with prescribed transient behaviour
Universal tracking control is investigated in the context of a class S of M-input, M-output dynamical systems modelled by functional differential equations. The class encompasses a wide variety of nonlinear and infinite-dimensional systems and contains – as a prototype subclass – all finite-dimensional linear single-input single-output minimum-phase systems with positive high-frequency gain. The control objective is to ensure that, for an arbitrary -valued reference signal r of class W1,∞ (absolutely...
Trajectory sensitivity method and master-slave synchronization to estimate parameters of nonlinear systems.
Transfer of boundary conditions for Poisson's equation on a circle
The method of transfer of boundary conditions yields a universal frame into which most methods for solving boundary value problems for ordinary differential equations can be included. The purpose of this paper is to show a possibility to extend the idea of transfer of conditions to a particular twodimensional problem.
Transfer of boundary conditions for two-dimensional problems
Transfer of conditions for singular boundary value problems
Numerical solution of linear boundary value problems for ordinary differential equations by the method of transfer of conditions consists in replacing the problem under consideration by a sequence of initial value problems. The method of transfer for systems of equations of the first order with Lebesque integrable coefficients was studied by one of the authors before. The purpose of this paper is to extend the idea of the transfer of conditions to singular boundary value problems for a linear second-order...
Transfer of connection problems for first level solutions of merimorphic differential equations, and associated Laplace transforms.
Transformation der Lösungen der Systeme von vier linearen Differentialgleichungen 1. Ordnung
Transformation groups on real plane and their differential invariants.
Transformation methods for differential-algebraic equations
Transformation of ordinary second-order linear diferential equations
Transformation of spaces of vector functions of scalar argument
Transformation operators and asymptotic formulas for the eigenvalues of a polynomial pencil of Sturm--Liouville operators.
Transformation theory of linear ordinary differential equations -- from local to global investigations
A survey of investigations of linear differential equations from the point of view of transformations is described. These investigations started in the middle of the last century and continued till the present time. Essential step was done in the fifties by O. Borvka, who started global investigations of the second order equations.
Transformation to Liénard form.
Transformationen der Lösungen von Systemen mit gegebenem Element der Matrix
Transformations and factorisation of ordinary nonlinear differential equations
Transformations and oscillatory properties of linear Hamiltonian systems -- continuous versus discret
Transformations of differential equations