The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “On exact controllability of first-order impulsive differential equations.”

Controllability of linear impulsive matrix Lyapunov differential systems with delays in the control function

Vijayakumar S. Muni, Raju K. George (2018)

Kybernetika

Similarity:

In this paper, we establish the controllability conditions for a finite-dimensional dynamical control system modelled by a linear impulsive matrix Lyapunov ordinary differential equations having multiple constant time-delays in control for certain classes of admissible control functions. We characterize the controllability property of the system in terms of matrix rank conditions and are easy to verify. The obtained results are applicable for both autonomous (time-invariant) and non-autonomous...

Schauder's fixed-point theorem in approximate controllability problems

Artur Babiarz, Jerzy Klamka, Michał Niezabitowski (2016)

International Journal of Applied Mathematics and Computer Science

Similarity:

The main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces. The presented investigation focuses on obtaining sufficient conditions for approximate controllability of various types of dynamic systems using Schauder's fixed-point theorem. We describe the results of approximate controllability for nonlinear impulsive neutral fuzzy stochastic differential equations with nonlocal conditions,...

On the constrained controllability of dynamical systems with multiple delays in the state

Beata Sikora (2003)

International Journal of Applied Mathematics and Computer Science

Similarity:

Linear stationary dynamical systems with multiple constant delays in the state are studied. Their relative and approximate controllability properties with constrained controls are discussed. Definitions of various types of controllability with constrained controls for systems with delays in the state are introduced. Some theorems concerning the relative and the approximate relative controllability with constrained controls for dynamical systems with delays in the state are established....

Constrained controllability of nonlinear stochastic impulsive systems

Shanmugasundaram Karthikeyan, Krishnan Balachandran (2011)

International Journal of Applied Mathematics and Computer Science

Similarity:

This paper is concerned with complete controllability of a class of nonlinear stochastic systems involving impulsive effects in a finite time interval by means of controls whose initial and final values can be assigned in advance. The result is achieved by using a fixed-point argument.

Controllability for impulsive semilinear functional differential inclusions with a non-compact evolution operator

Irene Benedetti, Valeri Obukhovskii, Pietro Zecca (2011)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

Similarity:

We study a controllability problem for a system governed by a semilinear functional differential inclusion in a Banach space in the presence of impulse effects and delay. Assuming a regularity of the multivalued non-linearity in terms of the Hausdorff measure of noncompactness we do not require the compactness of the evolution operator generated by the linear part of inclusion. We find existence results for mild solutions of this problem under various growth conditions on the nonlinear...

Controllability, observability and optimal control of continuous-time 2-D systems

Gerhard Jank (2002)

International Journal of Applied Mathematics and Computer Science

Similarity:

We consider linear 2-D systems of Fornasini-Marchesini type in the continuous-time case with non-constant coefficients. Using an explicit representation of the solutions by utilizing the Riemann-kernel of the equation under consideration, we obtain controllability and observability criteria in the case of the inhomogeneous equation, where control is obtained by choosing the inhomogeneity appropriately, but also for the homogeneous equation, where control is obtained by steering with...

On constrained controllability of dynamical systems with multiple delays in control

Beata Sikora (2005)

Applicationes Mathematicae

Similarity:

Linear, continuous dynamical systems with multiple delays in control are studied. Their relative and absolute controllability with constrained control is discussed. Definitions of various types of constrained relative and absolute controllability for linear systems with delays in control are introduced. Criteria of relative and absolute controllability with constrained control are established. Constraints on control values are considered. Mutual implications between constrained relative...