homogeneous systems
On Acceleration of a Class of Asymptotically Stable Homogeneous Systems
... of convergence for the closed-loop system. The proposed strategy consists in a proper decreasing the acceleration rate by parameter commutation till the normal one close to the origin. In the present work the following ...
7
Lyapunov-based Consistent Discretisation of Stable Homogeneous Systems
... nonlinear systems [23, 22, 1], it has been proven that they can be generally unsuitable for homogeneous systems since they do not preserve stability and convergence properties ...stable ...
25
Realization and Discretization of Asymptotically Stable Homogeneous Systems
... linear systems (the notion of A-stability) [4], [6], or for particular classes of nonlinear systems [7], ...of homogeneous stable dynamical systems [9], [10] (given without ...of ...
9
On State-dependent Discretization of Stable Homogeneous Systems
... • For any value of the discretization step, the implicit and explicit Euler methods provide a good approximation of the system solutions (Theorem 4). • For ν < 0 the explicit Euler method with a constant step (7) can ...
7
Stability and Stabilization of Homogeneous Systems Depending on a Parameter
... Terms—Homogeneous systems, nonlinear systems de- pending on a parameter, stability, ...nonlinear systems is a challenging and difficult subject in control ...nonlinear systems. There ...
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On the complexity of computing Gröbner bases for weighted homogeneous systems
... weighted homogeneous systems, with the complexity estimates ( 1 ) and ( 4 ...chain-divisible systems of weights), and as such lacked the precise description of Hilbert series required to obtain ...
44
Robustness of Homogeneous Systems with Respect to Time-Varying Perturbations
... N homogeneous time-invariant dynamical systems, the local and global behaviors are the same [1], and for stability/instability analysis, Lyapunov or Chetaev function of a homogeneous system can also ...
14
A note on delay robustness for homogeneous systems with negative degree
... for homogeneous systems with negative ...if homogeneous system with negative degree is globally asymptotically stable at the origin in the delay-free case then the system is globally asymptotically ...
10
Supervisory Acceleration of Convergence for Homogeneous Systems
... controlled systems are the main optimization criteria in ...closed-loop homogeneous systems [20], ...is homogeneous with a negative/zero/positive degree and asymptotically stable, then ...
15
Discretization of Asymptotically Stable Homogeneous Systems by Explicit and Implicit Euler Methods
... stable homogeneous systems are obtained for the explicit and implicit Euler integration ...of homogeneous systems with non-zero degrees, whereas the implicit Euler scheme ensures convergence ...
7
A Consistent Discretisation method for Stable Homogeneous Systems based on Lyapunov Function
... −µ m (¯ x(0)) −µαh . Theorem 10 requires the availability of a homogeneous Lyapunov function. Unfortunately there is no universal technique to compute it, nevertheless the existence of such a function is ...
7
On Galerkin Method for Homogeneous Infinite-Dimensional Systems
... The homogeneous Galerkin method Figure ...the homogeneous Galerkin projection in comparison with the classical Galerkin ...control systems analysis and design it is also important to know if some ...
23
Finite-time stabilization of homogeneous non-Lipschitz systems
... of homogeneous systems. Moreover, due to the use of a homogeneous approximation, only local finite-time stabilization results can be established for specific cases of nonlinear systems such as ...
14
On Homogeneous Distributed Parameter Systems
... of homogeneous systems can be enhanced by means of investigation of homogeneity degree of an asymptotically stable system, for example, the negative degree corresponds to finite-time stability [1], [10], ...
7
Optically induced homogeneous line narrowing
... simple optical pumping whereby the fast Rt relaxation ( = 4 msec) results in a transfer of population to the A2(+T) levels ( = 1-sec spin-lattice relaxation time). However, since the R2 [r] ...
4
Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space
... of homogeneous quasilinear hyperbolic systems with one side controls and with nonlinear boundary condition at the other ...hyperbolic systems with nonlinear, non-local boundary ...
25
Locally homogeneous aspherical Sasaki manifolds
... locally homogeneous aspherical Sasaki manifold is always quasi-regular, that is, Γ G/H is an S 1 -Seifert bundle over a locally homogeneous aspherical Kähler ...locally homogeneous aspherical ...
41
ON THE GROWTH OF SOLUTIONS OF HOMOGENEOUS AND NON-HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS
... where A 0 (z) 6≡ 0, A 1 (z) , · · · , A k−1 (z) and F (z) 6≡ 0 are meromorphic functions of finite iterated p−order. Several authors [3, 4, 7, 8, 16, 19] have investigated the growth of solutions of second order and ...
16
Lyapunov functions and finite time stabilization in optimal time for homogeneous linear and quasilinear hyperbolic systems
... where G : R n → R n is a suitable smooth vector field. Three approaches have been proposed to deal with ( 1.8 ). The first one is based on the characteristic method. This method was investigated in the framework of C 1 ...
22
Stabilization via homogeneous feedback controls
... possess very interesting properties which allow to re- strict their study to compact manifolds (see [8, Lemma 1]). In a second way, finding an homogeneous feedback control is often the first step when dealing with ...
6