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Discretetime Riccati type equations and the tracking problem
 ICIC Express Letters
"... Abstract. This paper is an addendum of [6]. Sufficient conditions for the existence of the minimal solution and the stabilizing solution of a class of discretetime coupled Riccati type equations are given. As an application we provide the solution to a tracking problem in the case of discretetime ..."
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Abstract. This paper is an addendum of [6]. Sufficient conditions for the existence of the minimal solution and the stabilizing solution of a class of discretetime coupled Riccati type equations are given. As an application we provide the solution to a tracking problem in the case of discrete
New results in linear filtering and prediction theory
 Trans. ASME, Ser. D, J. Basic Eng
, 1961
"... A nonlinear differential equation of the Riccati type is derived for the covariance matrix of the optimal filtering error. The solution of this "variance equation " completely specifies the optimal filter for either finite or infinite smoothing intervals and stationary or nonstationary sta ..."
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Cited by 585 (0 self)
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A nonlinear differential equation of the Riccati type is derived for the covariance matrix of the optimal filtering error. The solution of this "variance equation " completely specifies the optimal filter for either finite or infinite smoothing intervals and stationary or nonstationary
NonBlowUp Conditions for Riccatitype Matrix Differential and Difference Equations
"... We present several methods to obtain global existence results for solutions of nonsymmetric Riccati matrix differential equations and for generalized or perturbed symmetric Riccati differential equations. One approach is to derive sufficient conditions ensuring that the spectral norm of the solutio ..."
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Cited by 6 (2 self)
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of an appropriate Lyapunovtype function we obtain sufficient conditions guaranteeing that no escape finite time can occur. This method also applies to nonsymmetric matrix Riccati difference equations. These results, among others, can then be applied to control problems like H∞control, Markovian Jump Linear
A Few Exactly Solvable Models For Riccati Type Equations
, 2003
"... We consider the Ricatti equation in the context of population dynamics,quantum scattering and a more general context.We examine some exactly solvable cases of real life interest. 1 ..."
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We consider the Ricatti equation in the context of population dynamics,quantum scattering and a more general context.We examine some exactly solvable cases of real life interest. 1
Nonlinear differential equations of Riccati type on ordered Banach spaces ∗
"... , V. Dragan In this paper we consider a general class of timevarying nonlinear differential equations on infinite dimensional ordered Banach spaces, which includes as special cases many known differential Riccati equations of optimal control. Using a linear matrix inequalities (LMIs) approach we pr ..."
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, V. Dragan In this paper we consider a general class of timevarying nonlinear differential equations on infinite dimensional ordered Banach spaces, which includes as special cases many known differential Riccati equations of optimal control. Using a linear matrix inequalities (LMIs) approach we
LEGENDRE, JACOBI, AND RICCATI TYPE CONDITIONS FOR TIME SCALE VARIATIONAL PROBLEM WITH APPLICATION
"... ABSTRACT. A time scale quadratic problem J with piecewise rightdense continuous coecients and one varying endpoint is considered. Such problems are \hybrid", since they include mixing of continuous and discretetime problems. A new notion of a generalized conjugate point involving \dynamic &q ..."
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" (hybrid) systems and comprising as special cases those known for the continuous and discretetime settings is introduced. A type of a strengthened Legendre condition is identied and used to establish characterizations of the nonnegativity and positivity of J in terms of (i) the nonexistence
Constrained model predictive control: Stability and optimality
 AUTOMATICA
, 2000
"... Model predictive control is a form of control in which the current control action is obtained by solving, at each sampling instant, a finite horizon openloop optimal control problem, using the current state of the plant as the initial state; the optimization yields an optimal control sequence and t ..."
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Cited by 696 (15 self)
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and the first control in this sequence is applied to the plant. An important advantage of this type of control is its ability to cope with hard constraints on controls and states. It has, therefore, been widely applied in petrochemical and related industries where satisfaction of constraints is particularly
On a qdifference Painlevé III equation. I: Derivation, symmetry and Riccati type solutions
, 2003
"... A qdifference analogue of the Painlevé III equation is considered. Its derivations, affine Weyl group symmetry, and two kinds of special function type solutions are discussed. 1 ..."
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Cited by 14 (4 self)
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A qdifference analogue of the Painlevé III equation is considered. Its derivations, affine Weyl group symmetry, and two kinds of special function type solutions are discussed. 1
Numerical Solutions of the Euler Equations by Finite Volume Methods Using RungeKutta TimeStepping Schemes
, 1981
"... A new combination of a finite volume discretization in conjunction with carefully designed dissipative terms of third order, and a Runge Kutta time stepping scheme, is shown to yield an effective method for solving the Euler equations in arbitrary geometric domains. The method has been used to deter ..."
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Cited by 456 (78 self)
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A new combination of a finite volume discretization in conjunction with carefully designed dissipative terms of third order, and a Runge Kutta time stepping scheme, is shown to yield an effective method for solving the Euler equations in arbitrary geometric domains. The method has been used to determine the steady transonic flow past an airfoil using an O mesh. Convergence to a steady state is accelerated by the use of a variable time step determined by the local Courant member, and the introduction of a forcing term proportional to the difference between the local total enthalpy and its free stream value.
Results 1  10
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