A number of robust stability problems take the following form: A polynomial has real coefficients which are multiaffine in real parameters that are confined to a box in parameter space. An efficient method is required for checking the stability of this set of polynomials. We prerent two sufficient conditions in this paper. They involve checking certain properties a t the corners and edges of th...

An investigation on the robustness of a torque vectoring control based on an inverse disturbance observer architecture for a rear wheel driven vehicle with electric single wheel drives is presented within this contribution. To ensure robust control parameters, specifications for eigenvalues (Γ-stability) and bounds on weighted sensitivity and complementary sensitivity functions in frequency dom...

Using the cavity method I derive the microscopic equations and their stability condition for learning in neural networks. Iterating the microscopic equations provides a general algorithm for network learning, supported by simulations in the maximally stable perceptron and the committee tree. Macroscopic results agree with the replica theory and the Almeida-Thouless stability condition. They are...

Position and attitude set-point regulation of autonomous underwater vehicles (AUVs) in 6 degrees of freedom (DOF) is presented. Euler parameters are used in the representation of global attitude. Three quaternion feedback controllers are derived based on vector quaternion, Euler rotation and Rodrigues parameter feedback, respectively. Global asymp-totic stability is proven in the rst and second...

Synthesis of gain scheduled controllers often requires that a parameter-varying controller be generated from a finite set of linear time-invariant controllers. We propose interpolation methods for this task with the property that stability of the linearized closed-loop system is preserved for each fixed value of the scheduling parameter. In addition, slow-variation arguments are presented that ...

A number of robust stability problems take the following form. A polynomial has real coefficients which are multilinear in real parameters that are confined to a rectangular axis-parallel box in parameter space. An efficient method is required for checking the stability of this set of polynomials. We present two sufficient conditions in this paper, which can be applied in many cases. They invol...

The stability analysis around equilibrium of a discrete-time predator prey system is considered in this paper. We obtain local stability conditions of the system near equilibrium points. The phase portraits are obtained for different sets of parameter values. Also limit cycles and bifurcation diagrams are provided for selective range of growth parameter. It is observed that prey and predator po...

Abstrm-A number of robust stability problems take the following farm. A polynomial has real coefficients which are multilinear in real parameters that are confined to a rectangular axis-parallel box in parameter space. An elftcient method is required for checking the stability of this set of polynomials. We present two sufficient conditions in this paper, which can be applied in many cases. The...

Dynamical control of biological systems is often restricted by the practical constraint of unidirectional parameter perturbations. We show that such a restriction introduces surprising complexity to the stability of one-dimensional map systems and can actually improve controllability. We present experimental cardiac control results that support these analyses. Finally, we develop new control al...

We consider linear deterministic systems on real Hilbert spaces which are subjected to a nite number (N) of stochastic, structured, Lipschitzian perturbations. A stability radius is deened and is completely characterized via an N-parameter minimization of the norm of a family of bounded operators. This is in contrast to the determin-istic case where the stability radius is determined by the-fun...