نتایج جستجو برای: riccati differential equation

تعداد نتایج: 482283  

Journal: :Information and Control 1968
Brian D. O. Anderson John B. Moore

The problem is examined of estimating the state of a linear dy namical system in the presence of high measurement noise. It is coneluded that optimal filter design maybe simplified to the extent that it need not depend on the solution of a matrix Riccati differential equation )butonly onthesolutionof amatrix linear differential equation. For a related problem, that of estimating a signal s(t) g...

Journal: : 2022

In this paper, we consider three already known perturbation estimates of the solution to symmetric matrix Riccati differential equation. The aim paper is analyse experimentally effectiveness bounds considered, compare their sharpness for problems with increasing conditioning, and specify area application analysed. analytical scalar equation one experimental models proved in theorem. results sug...

2011
Amol Sasane

Let R be a commutative complex unital semisimple Banach algebra with the involution ·⋆. Sufficient conditions are given for the existence of a stabilizing solution to the H ∞ Riccati equation when the matricial data has entries from R. Applications to spatially distributed systems are discussed.

2013
Irena Lasiecka Roberto Triggiani Jing Zhang

We present the salient features of a min-max game theory developed in the context of coupled PDE's with an interface. Canonical applications include linear fluid-structure interaction problem modeled by Oseen's equations coupled with elastic waves. We shall consider two models for the structures: elastic and visco-elastic. Control and disturbance are allowed to act at the interface between the ...

2005
BRIAN D. O ANDERSON

Absbact. It is shown that the eigeovalues and eigenfunctions for the class of "separable" or "semidegenerate" kernels can be determined from the solution of a linear differential equation, which is usually more amenable to machine solution. The theory is extended to solve a simultaneous diagonalization problem for two separable kernels. Finally, some new connections are obtained between Riccati...

2007
Andrey M. Ghulchak

In this paper the state-space solution to H optimization problem for linear time-invariant infinite-horizon differential equation in Hilbert space and sign-indefinite cost function is proposed. The necessary and sufficient conditions as well as the parametrization of all admissible controllers are derived in terms of the stabilizing solutions of two Riccati equations

Journal: :computational methods for differential equations 0
ahmad neirameh gonbad kavous university saeid shokooh gonbad kavous university mostafa eslami mazandaran university

some preliminaries about the integrable families of riccati equations and solutions structure of these equations in several cases are presented in this paper, then by using of definitions for fractional derivative we apply the new extended of tanh method to the perturbed nonlinear fractional schrodinger equation with the kerr law nonlinearity. finally by using of this method and solutions of ri...

1984
F. KAPPEL D. SALAMON

The purpose of this paper is to introduce a new spline approximation scheme for retarded functional differential equations. The special feature of this approximation scheme is that it preserves the product space structure of retarded systems and approximates the adjoint semigroup in a strong sense. These facts guarantee the convergence of the solution operators for the differential Riccati equa...

2002
Mei-Ling Chen Didier Georges Laurent Lefevre

In this paper, we consider the regulation of water level in open-channel hydraulic systems. We consider a LQ control problem for linear symmetric infinitedimensional systems. A state feedback control law is obtained part from the solution of a three-dimensional partial differential Riccati equation. The effectiveness of this control law is demonstrated in simulation when applied to the nonlinea...

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