A Note on Controllability of Impulsive Systems

George, Roger K.; Nandakumaran, A. K.; Arapostathis, Ari

doi:10.1006/jmaa.1999.6632

Cited by 100 publications

(55 citation statements)

References 2 publications

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“…The controllability for deterministic impulsive systems has been studied in [59,60]. The authors of [61] investigated the complete controllability of hybrid impulsive integrodifferential systems.…”

Section: Introductionmentioning

confidence: 99%

Banach fixed-point theorem in semilinear controllability problems – a survey

Klamka

Babiarz

Niezabitowski

2016

Bulletin of the Polish Academy of Sciences Technical Sciences

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Abstract. The main aim of this article is to review the existing state of art concerning the complete controllability of semilinear dynamical systems. The study focus on obtaining the sufficient conditions for the complete controllability for various systems using the Banach fixedpoint theorem. We describe the results for stochastic semilinear functional integro-differential system, stochastic partial differential equations with finite delays, semilinear functional equations, a stochastic semilinear system, a impulsive stochastic integro-differential system, semilinear stochastic impulsive systems, an impulsive neutral functional evolution integro-differential system and a nonlinear stochastic neutral impulsive system. Finally, two examples are presented.

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Section: Introductionmentioning

confidence: 99%

Banach fixed-point theorem in semilinear controllability problems – a survey

Klamka

Babiarz

Niezabitowski

2016

Bulletin of the Polish Academy of Sciences Technical Sciences

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“…Theory of impulsive differential equations has been motivated by a number of applied problems. We point out the names of a few representative examples: control theory [1][2] , population dynamics [3] , chemotherapeutic treatment in medicine [4] , and some physics problems [5] . A significant development has been made in the mathematicl theory of impulsive differential equations in the last two decades; see the monographs [6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Boundary value problems for nonlinear second-order difference equations with impulse

Bereketoğlu

Huseynov

2009

Appl. Math. Mech.-Engl. Ed.

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“…Controllability of linear and nonlinear impulsive systems in finite dimensional space has been discussed by many authors ( [13], [14], [22]). Li et al ([16]) and Chang ([9]) extended the results to impulsive functional differential systems in Banach spaces by using compact semigroup and the Schaefer fixed point theorem.…”

Section: Introductionmentioning

confidence: 99%

Controllability of nonlocal impulsive functional integrodifferential evolution systems

Radhakrishnan¹,

Balachandran²

2011

J. Nonlinear Sci. Appl.

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Abstract. In this paper, we establish a set of sufficient conditions for the controllability of nonlocal impulsive functional integrodifferential evolution systems with finite delay. The controllability results are obtained with out assuming the compactness condition on the evolution operator by using the semigroup theory and applying the fixed point approach. An example is provided to illustrate the theory.

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A Note on Controllability of Impulsive Systems

Cited by 100 publications

References 2 publications

Banach fixed-point theorem in semilinear controllability problems – a survey

Banach fixed-point theorem in semilinear controllability problems – a survey

Boundary value problems for nonlinear second-order difference equations with impulse

Controllability of nonlocal impulsive functional integrodifferential evolution systems

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