This paper is concerned with a class of continuoustime uncertain systems which satisfy a certain Integral Quadratic Constraint. The problems of robust filtering, robust prediction, and robust smoothing for such systems are defined, and nonconservative solutions are given in terms of Riccati differential equations. This paper also addresses a problem of robust observability for this class of unc...

The paper considers a model validation problem for a class of uncertain systems in which the uncertainty is described by an integral quadratic constraint and the uncertain system has zero initial condition. This leads to a method for model validation which is based around a robust Kalman filter type structure.

The equivalence between integral-chain differentiator and usual high-gain differentiator is given under suitable coordinate transformation. Integral-chain differentiator can restrain noises more thoroughly than usual high-gain linear differentiator. In integral-chain differentiator, disturbances only exist in the last differential equation and can be restrained through each layer of integrator....

The theory of integral quadratic constraints is used for performance analysis of nonlinear and uncertain systems. Periodic oscillations induced by sinusodal excitation are studied in particular.

Stability analysis and controller design for uncertain nonlinear systems is open problem now(Vidyasagar, 1986). So far numerous design methodologies exist for the controller design of nonlinear systems(Kokotovic & Arcak, 2001). These include any of a huge number of linear design techniques(Anderson & More, 1990; Horowitz, 1991) used in conjuction with gain scheduling(Rugh & Shamma, 200); nonlin...

The ergodicity and the output-controllability of stochastic reaction networks have been shown to be essential properties fulfill enable their control using, for instance, antithetic integral (Briat, Gupta, Khammash, “Antithetic feedback ensures robust perfect adaptation in noisy biomolecular networks,” Cell Syst., vol. 2, pp. 17-28, 2016). We propose here extend those case uncertain networks. T...