Controllability of nonlinear systems with delays in both state and control variables
Controllability of nonlinear Volterra integrodifferential systems
Controllability of a class of perturbed nonlinear systems
Nonlinear perturbations of quasi-linear delay control systems
On the controllability of fractional dynamical systems
This paper is concerned with the controllability of linear and nonlinear fractional dynamical systems in finite dimensional spaces. Sufficient conditions for controllability are obtained using Schauder's fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function. Examples are given to illustrate the effectiveness of the theory.
Constrained controllability of nonlinear stochastic impulsive systems
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 of nonlinear implicit fractional integrodifferential systems
In this paper, we study the controllability of nonlinear fractional integrodifferential systems with implicit fractional derivative. Sufficient conditions for controllability results are obtained through the notion of the measure of noncompactness of a set and Darbo's fixed point theorem. Examples are included to verify the result.
Controllability of a class of nonlinear systems with distributed delays in control
Bang-bang control of a second-order non-linear stable plant with fourth- order nonlinearity
Controllability of nonlinear delay systems with delay depending on state variable
Controllability of semilinear delay systems
A note on controllability of nonlinear Volterra integrodifferential systems
Time optimal control of a second order nonlinear plant
Relative controllability of nonlinear systems with time varying delays in control
Optimal control of nonlinear delay systems with implicit derivative and quadratic performance
The existence of optimal control for nonlinear delay systems having an implicit derivative with quadratic performance criteria is proved. The results are established by an iterative technique and using the Darbo fixed point theorem.
Controllability of semilinear functional integrodifferential systems in Banach spaces
Sufficient conditions for controllability of semilinear functional integrodifferential systems in a Banach space are established. The results are obtained by using the Schaefer fixed-point theorem.
Controllability of nonlinear stochastic systems with multiple time-varying delays in control
This paper is concerned with the problem of controllability of semi-linear stochastic systems with time varying multiple delays in control in finite dimensional spaces. Sufficient conditions are established for the relative controllability of semilinear stochastic systems by using the Banach fixed point theorem. A numerical example is given to illustrate the application of the theoretical results. Some important comments are also presented on existing results for the stochastic controllability of...
Weak Solutions for Nonlinear Parabolic Equations with Variable Exponents
In this work, we study the existence and uniqueness of weak solutions of fourth-order degenerate parabolic equation with variable exponent using the difference and variation methods.
Controllability of functional differential systems of Sobolev type in Banach spaces
Sufficient conditions for controllability of partial functional differential systems of Sobolev type in Banach spaces are established. The results are obtained using compact semigroups and the Schauder fixed point theorem. An example is provided to illustrate the results.
Neutral functional integrodifferential control systems in Banach spaces
Sufficient conditions for controllability of neutral functional integrodifferential systems in Banach spaces with initial condition in the phase space are established. The results are obtained by using the Schauder fixed point theorem. An example is provided to illustrate the theory.
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