نتایج جستجو برای: stochastic differential inclusions

تعداد نتایج: 413023  

Journal: :SIAM Journal on Control and Optimization 1992

2004
Lev B. Rapoport

New constructive criteria of asymptotic stability of selector-linear differential inclusions are established. The wellknown absolute stability problem is also considered as a particular case of the above problem. Asymptotically stable inclusions are very similar in properties to linear stable time-invariant systems. This similarity concerns the wide range of dynamic properties. In particular, a...

Journal: :Journal of Mathematical Analysis and Applications 2001

Journal: :SIAM Journal on Optimization 2007
Robert Baier Ilyes Aïssa Chahma Frank Lempio

A discrete stability theorem for set-valued Euler’s method with state constraints is proven. This theorem is combined with known stability results for differential inclusions with so-called smooth state constraints. As a consequence, order of convergence equal to 1 is proven for set-valued Euler’s method, applied to state-constrained differential inclusions.

2005
B. Dacorogna G. PISANTE

We discuss the existence of solutions, u ∈ φ+W 1,∞ 0 (Ω;R), for differential inclusions of the form Du(x) ∈ E, a.e. in Ω . 1 – Introduction In this article we discuss the existence of solutions, u ∈ W 1,∞(Ω;Rm), for the Dirichlet problem involving differential inclusions of the form

2004
TZANKO DONCHEV

In the paper we study the continuity properties of the solution set of upper semicontinuous differential inclusions in both regularly and singularly perturbed case. Using a kind of dissipative type of conditions introduced in [1] we obtain lower semicontinuous dependence of the solution sets. Moreover new existence result for lower semicontinuous differential inclusions is proved.

Journal: :journal of linear and topological algebra (jlta) 2012
h. r. rezazadeh m maghasedi b shojaee

in this paper, we intend to solve special kind of ordinary differential equations which is called heun equations, by converting to a corresponding stochastic differential equation(s.d.e.). so, we construct a stochastic linear equation system from this equation which its solution is based on computing fundamental matrix of this system and then, this s.d.e. is solved by numerically methods. mo...

2014
Boris S. Mordukhovich Lianwen Wang LIANWEN WANG

This paper concerns constrained dynamic optimization problems governed by delayed differentialalgebraic systems. Dynamic constraints in such systems, which are particularly important for engineering applications, are described by interconnected delay-differential inclusions and algebraic equations. We pursue a two-hold goal: to study variational stability of such control systems with respect to...

2012
Bruno Gaujal Nicolas Gast

In this paper, we study deterministic limits of Markov processes having discontinuous drifts. While most results assume that the limiting dynamics is continuous, we show that these conditions are not necessary to prove convergence to a deterministic system. More precisely, we show that under mild assumptions, the stochastic system is a stochastic approximation algorithm with constant step size ...

2011
Elimhan N. Mahmudov Murat E. Unal

This paper is dedicated to optimization of socalled first order differential (PC) inclusions in gradient form on a square domain. As a supplementary problem, discreteapproximation problem is considered. In the Euler-Lagrange form, necessary and sufficient conditions are derived for partial differential inclusions (PC). The results obtained are based on a new concept of locally adjoint mappings.

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