Controllability of impulsive quasi-linear fractional mixed Volterra-Fredholm-type integrodifferential equations in Banach spaces.
Controllability of impulsive semilinear functional differential inclusions with finite delay in Fréchet spaces
In this paper, we use the extrapolation method combined with a recent nonlinear alternative of Leray-Schauder type for multivalued admissible contractions in Fréchet spaces to study the existence of a mild solution for a class of first order semilinear impulsive functional differential inclusions with finite delay, and with operator of nondense domain in original space.
Controllability of Infinite Rime Horizon of Neutral Functional Differential and Integrodifferential Inclusions in Banach Spaces
Controllability of linear autonomous processes
Controllability of linear impulsive matrix Lyapunov differential systems with delays in the control function
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 (time-variant)...
Controllability of linear impulsive systems – an eigenvalue approach
This article considers a class of finite-dimensional linear impulsive time-varying systems for which various sufficient and necessary algebraic criteria for complete controllability, including matrix rank conditions are established. The obtained controllability results are further synthesised for the time-invariant case, and under some special conditions on the system parameters, we obtain a Popov-Belevitch-Hautus (PBH)-type rank condition which employs eigenvalues of the system matrix for the investigation...
Controllability of nonlinear delay systems with delay depending on state variable
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 nonlinear systems with delays in both state and control variables
Controllability of semilinear delay systems
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 semilinear integrodifferential equations with nonlocal conditions.
Controllability of semilinearstochastic delay evolution equations in Hilbert spaces.
Controllability of time-varying cellular neural networks.
Controllability on infinite time horizon for first and second order functional differential inclusions in Banach spaces
In this paper, we shall establish sufficient conditions for the controllability on semi-infinite intervals for first and second order functional differential inclusions in Banach spaces. We shall rely on a fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer's theorem. Moreover, by using the fixed point index arguments the implicit case is treated.
Controllability results for semilinear functional and neutral functional evolution equations with infinite delay.
Controllability theorem for nonlinear dynamical systems
Some sufficient conditions for controllability of nonlinear systems described by differential equation ẋ = f(t,x(t),u(t)) are given.
Controllable two dimensional neutral systems
Controlled functional differential equations : approximate and exact asymptotic tracking with prescribed transient performance
A tracking problem is considered in the context of a class of multi-input, multi-output, nonlinear systems modelled by controlled functional differential equations. The class contains, as a prototype, all finite-dimensional, linear, -input, -output, minimum-phase systems with sign-definite “high-frequency gain”. The first control objective is tracking of reference signals by the output of any system in : given , construct a feedback strategy which ensures that, for every (assumed bounded...
Controlled functional differential equations: approximate and exact asymptotic tracking with prescribed transient performance
A tracking problem is considered in the context of a class of multi-input, multi-output, nonlinear systems modelled by controlled functional differential equations. The class contains, as a prototype, all finite-dimensional, linear, m-input, m-output, minimum-phase systems with sign-definite “high-frequency gain". The first control objective is tracking of reference signals r by the output y of any system in : given , construct a feedback strategy which ensures that, for every r (assumed bounded with...