Frequency domain analysis of linear time-invariant (LTI) systems in feedback with static nonlinearities is a classical and fruitful topic of nonlinear systems theory. We generalize this approach beyond equilibrium stability analysis with the aim of characterizing feedback systems whose asymptotic behavior is low dimensional. We illustrate the theory with a generalization of the circle criterion...

a new approach for pole placement of nonlinear systems using state feedback and fuzzy system is proposed. we use a new online fuzzy training method to identify and to obtain a fuzzy model for the unknown nonlinear system using only the system input and output. then, we linearized this identified model at each sampling time to have an approximate linear time varying system. in order to stabilize...

The quantum string emission by Black Holes is computed in the framework of the “string analogue model” (or thermodynamical approach), which is well suited to combine QFT and string theory in curved backgrounds (particulary here, as black holes and strings posses intrinsic thermal features and temperatures). The QFT-Hawking temperature TH is upper bounded by the string temperature TS in the blac...

This paper presents a new practical technique to design stabilizing locallyrobust nonlinear controllers using ideas from feedback linearization theory. The asymptotic stability of the nonlinear closed loop system is achieved by constructing outputs for the linearized plant at a given equilibrium point. A method is presented to locate transmission zeros of the linearized plant, so as to stabiliz...

We present a complete theory, which is a generalization of Bargmann's theory of factors for ray representations. We apply the theory to the generally covariant formulation of the Quantum Mechanics. In the standard Quantum Mechanics (QM) and the Quantum Field Theory (QFT) the spacetime coordinates are pretty classical variables. Therefore the question about the general covariance of QM and QFT e...

-There has been a great deal of excitement recently over the development of a theory for explicitly linearizing the input-output response of a nonlinear system using state feedback. One shortcoming of this theory is the inability to deal with non-minimum phase nonlinear systems. Highly maneuverable jet aircraft, such as the V/STOL Harrier, belong to an important class of a slightly non-minimum ...

This paper presents a detailed perspective of two constructive feedback strategies characterized by algebraic Riccati equations for solving continuous-time nonlinear deterministic optimal control problems. In each case, the system is first transformed into a linear-like, state-dependent structure. The first method is based on treating the adapted model as an instantaneously linear time-invarian...

Since Bohmian mechanics is explicitly nonlocal, it widely believed that very hard, if not impossible, to make compatible with relativistic quantum field theory (QFT). I explain, in simple terms, hard at all construct a lacks Lorentz covariance, but makes the same measurable predictions as QFT. All one has do QFT frame, because then standard itself guarantees those are invariant. first explain t...

Recently, locally semiconcave control Lyapunov functions (LS-CLFs) play important roles in nonlinear control theory. Many LS-CLF based stabilizing controllers are proposed. In this paper, we consider the locally asymptotic stabilization problem of the input affine nonlinear systems with convex input constraints. To design a stabilizing state feedback under the input constraints, we employ the L...