Deadbeat Robust Model Predictive Control: Robustness Without Computing Robust Invariant Sets
ABSTRACT Deadbeat Robust Model Predictive Control (DRMPC) is introduced as a new approach of Robust Model Predictive Control (RMPC) for linear systems with additive disturbances. Its main idea is to completely extinguish the effect of the disturbances in the predictions within a small number of time steps, called the deadbeat horizon.
Georg Schildbach
wiley +1 more source
Oscillatory Criteria for Higher Order Functional Differential Equations with Damping
We investigate a class of higher order functional differential equations with damping. By using a generalized Riccati transformation and integral averaging technique, some oscillation criteria for the differential equations are established.
Peiguang Wang, Hai Cai
doaj +1 more source
On Hilbert-Schmidt norm convergence of Galerkin approximation for operator Riccati equations [PDF]
An abstract approximation framework for the solution of operator algebraic Riccati equations is developed. The approach taken is based on a formulation of the Riccati equation as an abstract nonlinear operator equation on the space of Hilbert-Schmidt ...
Rosen, I. G.
core +1 more source
Riccati differential equations with elliptic coefficients. II
In this paper, the authors consider the Riccati differential equation \[ w'+w^2+a\wp(z)=0, \] where \(\wp(z)\) is the Weierstrass \(\wp\)-function satisfying \[ (\wp')^2 = 4\wp^3 - b, b \neq 0 \] and \[ a = (1 - m^2)/4, m \geq 2, m \neq 6n. \] They show under these conditions that all solutions to the Riccati differential equation are meromorphic and ...
Ishizaki, Katsuya +3 more
openaire +2 more sources
Oscillation criteria for perturbed half-linear differential equations
Oscillatory properties of perturbed half-linear differential equations are investigated. We make use of the modified Riccati technique. A certain linear differential equation associated with the modified Riccati equation plays an important part. Improved
Manabu Naito
doaj +1 more source
On the relations between some well-known methods and the projective Riccati equations
Solving nonlinear evolution equations is an important issue in the mathematical and physical sciences. Therefore, traditional methods, such as the method of characteristics, are used to solve nonlinear partial differential equations. A general method for
Akçağıl Şamil
doaj +1 more source
Lie and Riccati Linearization of a Class of Liénard Type Equations
We construct a linearizing Riccati transformation by using an ansatz and a linearizing point transformation utilizing the Lie point symmetry generators for a three-parameter class of Liénard type nonlinear second-order ordinary differential equations ...
A. G. Johnpillai +2 more
doaj +1 more source
Oscillation of third-order neutral differential equations with damping and distributed delay
The present paper focuses on the oscillation of the third-order nonlinear neutral differential equations with damping and distributed delay. The oscillation of the third-order damped equations is often discussed by reducing the equations to the second ...
Meihua Wei, Cuimei Jiang, Tongxing Li
doaj +1 more source
A geometric approach to integrability conditions for Riccati equations
Several instances of integrable Riccati equations are analyzed from the geometric perspective of the theory of Lie systems.
Cariñena, Jose F. +2 more
core +3 more sources
Chandrasekhar equations for infinite dimensional systems [PDF]
Chandrasekhar equations are derived for linear time invariant systems defined on Hilbert spaces using a functional analytic technique. An important consequence of this is that the solution to the evolutional Riccati equation is strongly differentiable in
Ito, K., Powers, R. K.
core +1 more source

