This paper analyzes the controllable set (stability region) of a linear time-invariant open-loop unstable system with constrained input. In particular, we apply the Lyapunov descent criterion and Kuhn-Tucker Theorem to the case when the input is allowed to saturate. We demonstrate our approach by a real submarine case, and find the 3D controllable set for the case.

For any controllable linear system it is clear that the minimum control energy must increase unboundedly as the available time for exact control decreases to 0. This is made precise, obtaining asymptotically O(T−(K+1/2) behavior for the norm of the control operator where K is the order of the ‘least controllable’ modes (the minimal exponent for the rank condition).

Workspace analysis is one of the most important issues in the robotic parallel manipulator design. ‎However, ‎the unidirectional constraint imposed by cables causes this analysis more challenging in the cabledriven redundant parallel manipulators. Controllable workspace is one of the general workspace in the cabledriven redundant parallel manipulators due to the dependency on geometry parameter...

We describe a method for computing the controllable subspace of a linear periodic discrete time system. The method is based on the ordered periodic Schur form 1] by reducing the state equation to a convenient form in which the controllable/uncontrollable states are clearly displayed. Its attractive features are simplicity, numerical accuracy and stability.

A novel method of parallel switching power with different capacity in a controllable current sharing method is presented in this paper. It achieves proportional current sharing and stable output DC voltage by using controllable current sharing modes which output assignable feedback signals to the paralleling buck DC-DC converters. The validity and effectiveness are verified through comprehensiv...

lack of forest management plan and forest road network caused that the traditional tree felling and processing was developed in hyrcanian forest. in this system, trees are felled, limbed and topped motor-manually. felled trees are processed with chainsaws into lumber and/or pulpwood. in order to evaluate this system, lumber processing was studied in two compartments of namkhaneh district in khe...

Continuous homogeneous controllers are utilized in a full state feedback setting for the uniform finite time stabilization of a perturbed double integrator in the presence of uniformly decaying piecewise continuous disturbances. Semiglobal strong C1 Lyapunov functions are identified to establish uniform asymptotic stability of the closed-loop planar system. Uniform finite time stability is then...