Control of oscillating systems with a single delay.
Control of Traveling Solutions in a Loop-Reactor
We consider the stabilization of a rotating temperature pulse traveling in a continuous asymptotic model of many connected chemical reactors organized in a loop with continuously switching the feed point synchronously with the motion of the pulse solution. We use the switch velocity as control parameter and design it to follow the pulse: the switch velocity is updated at every step on-line using the discrepancy between the temperature at the front...
Control problem for event-switched processes.
Control techniques for chaotic dynamical systems
Controllability and observability of time-invariant linear dynamic systems
In the paper, we unify and extend some basic properties for linear control systems as they appear in the continuous and discrete cases. In particular, we examine controllability, reachability, and observability for time-invariant systems and establish a duality principle.
Controllability, applications, and numerical simulations of cellular neural networks.
Controllability for impulsive semilinear functional differential inclusions with a non-compact evolution operator
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 part and...
Controllability indices of linear systems with delays
Controllability of a class of nonlinear systems with distributed delays in control
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.
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