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Consider a controllable linear fractional control system of the form.
Many real-world control systems are flat, including all controllable linear systems as well as all feedback linearizable systems.
Our principal purpose in this paper is to judge whether, and understand better how, an approximately controllable linear system preserves its approximate controllability when it is subject to Lipschitz perturbations.
In this paper we studied the influence of a Lipschitz perturbation on an approximately controllable linear system.
Then the system (1.1) is approximately controllable in time T. The system (1.1) can be viewed as a nonlinear perturbation of the above approximately controllable linear system (3.1).
State feedback is a modern control technique that, amongst diverse applications, is distinguished by its arbitrary pole-placement of a controllable, linear time-invariant system.
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In the article, an alternative elementary method for steering a controllable fractional linear control system with open-loop control is presented.
In this note, we propose to design state-feedback path-wise switching laws and control laws for stability of controllable switched linear systems.
The purpose of this paper is to model and analyze the signal transduction networks in biological systems and transform the mathematical model from the uncontrollable and nonlinear form to a controllable and linear form.
In addition to this complexity, the drillstring dynamics are not linearly controllable and thus linear control methods are not suitable for suppressing the coupled torsional and lateral vibrations of a rotating drillstring.
Recall that the least amount of control energy needed to drive a linear controllable system from any initial condition on the unit sphere to the origin is upper-bounded by the inverse of the smallest eigenvalue of the associated controllability Gramian, and moreover, the upper-bound is sharp.
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