[PDF] Top 20 15. Exact Controllability of Semilinear Systems with Impulses

... Our aim in the remainder of this paper is to consider whether the system (1.1) can inherit the controllability property when (2.13) is controllable, or, to consider whether the system (1.1) can possess the ... See full document

... of controllability for deterministic control systems, described by first or- der differential equations in infinite dimensional spaces, has been adequately examined for more than half of decade by many ... See full document

... The controllability of the system ...the exact/approximate controllability of the system ...the controllability of systems governed by partial/ordinary differential equations; see [–] ... See full document

... the controllability of such evolution equations (Rabah and Karrakchou ...[11]). Controllability of nonlinear stochastic systems has been a well-known problem and frequently discussed in the ... See full document

... We consider a semilinear integro differential system with random impulses of the form x ′ (t) = Ax(t) + (Bu)(t) + , , ) , t ≠ ! , (2.1) x( ! ) = " ( ! )x( ! # ), k = 1,2, ...., (2.2) $ = φ , (2.3) where ... See full document

... [10] R. K. George, D. N. Chalishajar and A. K. Nandakumaran, “Exact Controllability of the Nonlinear Third-Order Dis- persion Equation,” Journal of Mathematical Analysis and Applications, Vol. 332, No. 2, ... See full document

... Notice we are dealing with quasi-optimal assumptions: recall again that, for f (s) = |s| r −1 s (r > 1), systems (1) and (3) are not null controllable in general; also, recall that blow-up may occur for f (s) = ... See full document

... approximate controllability problem for semilinear ab- stract systems in Banach spaces has not been investigated ...approximate controllability of semilinear abstract systems in ... See full document

... in an arbitrary Banach space with the linear positive operators A(t) is considered. The well-posedness of this problem is established in Banach spaces C 0 β,γ (E) of all continuous functions E-valued functions φ(t) on ... See full document

... approximate controllability of semilinear delay control systems in which the nonlinear terms depend on both state function and control function under the assumption that the corresponding linear ... See full document

... dynamical systems have an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution ...the exact controllability of a nonlinear ordinary differential equation with ... See full document

... The controllability of impulsive evolution equations has been studied recently by several authors, but most of them study the exact controllability ...the exact controllability of ... See full document

... non-linear systems represented by ordinary differential equa- tions in finite dimensional space has been extensively ...dimensional systems represented by the evolution equations with bounded operators in ... See full document

... of controllability has been widely devel- oped since the sixties ...regional controllability was introduced by El Jai [3,4], and in- teresting results have been obtained, in particular, the possibility to ... See full document

... of controllability (introduced by Kalman 1960) plays an important role in many areas of applied ...the controllability of linear and nonlinear deterministic systems ... See full document

... AVM for time-domain TLM was then developed and extended to handle a variety of practical EM design problems. In [8], and [9], the AVM was adapted to handle problems with dispersive boundaries using the wideband Johns ... See full document

... where the semigroup {S(t) t≥0 } is compact and the linear operator A is independent of t. The existence results were obtained by using the fixed point theorems. Now, many re- searchers are studying the fractional ... See full document

... In this paper, we study the existence of solutions for systems of random semilinear impulsive differential equations. The existence results are established by means of a new version of Perov’s, a nonlinear ... See full document

... following controllability problem: Given L > 0 (the lenght of the domain) T > 0 (the final time), y 0 , y T ∈ L 2 (0 , L ), does it exist a control function h ∈ L 2 (0 , T ) ... See full document

... In this paper, the existence and uniqueness of mild solutions for the semilinear fractional order functional integrodifferential equations with impulses are discussed by using phase space ax- ioms. We ... See full document