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In this note, a superconducting Josephson junction represented by the perturbed sine-Gordon equation is considered. The boundedness of the voltage and the current of such a nonlinear junction is established by showing that an energy-like function corresponding to the junction is bounded for...
A rigorous performance analysis is dedicated to the distributed Kalman filtering fusion with feedback for distributed recursive state estimators of dynamic systems. It is shown that the Kalman filtering track fusion formula with feedback is, like the track fusion without feedback, exactly...
Homotopy methods are applied to the non-convex optimization problem that arises in prediction error estimation using ARMAX model structures. A concrete algorithm is proposed, and its performance is studied by Monte Carlo simulation.
During recent years, it has been shown that a number of problems in matrix theory are NP-hard, including robust nonsingularity, robust stability, robust positive semidefiniteness, robust bounded norm, state feedback stabilization with structural and norm constraints, etc. In this paper, we use...
Adaptive robust control (ARC) laws are developed for MIMO nonlinear systems transformable to two semi-strict feedback forms. The forms allow coupling and appearance of parametric uncertainties in the input matrix of each layer.
A fundamental part of a fault diagnosis system is the residual generator. Here a new method, the minimal polynomial basis approach , for design of residual generators for linear systems, is presented. The residual generation problem is transformed into a problem of finding polynomial bases for...
The problem of global decentralized robust stabilization for a class of large-scale interconnected nonlinear systems with parameter uncertainties is investigated. Subsystems are assumed to be in a nested structure with multiple inputs. Interconnections are bounded by higher-order polynomials in...
This paper is devoted to the problem of simultaneous stabilization of linear plants. It is shown that four given plants p i (s), i=1,2,3,4 are simultaneously stabilizable if and only if there exist four stable polynomials H i (s), i=1,2,3,4 which simultaneously satisfy two polynomial equations....
New and improved stability results are obtained for PWM feedback systems through the use of quadratic Lyapunov functions and optimization procedures.
In this paper, the relationship between the decomposition of (linear, time-invariant, differential) behaviors and the solvability of certain two-sided diophantine equations is explored. The possibility of expressing a behavior as the sum of two sub-behaviors, endowed with a finite dimensional...
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