Results 61 to 70 of about 14,195 (209)
On the Synthesis of a Linear Quadratic Controller for a Quadcopter
This paper discusses about synthesizing a state-feedback controller for a quadcopter based on an optimal linear quadratic control method. The resulting flight control system enables the quadcopter to maintain stability and to track a reference input. The
Hendra Gunawan Harno
doaj +1 more source
Stochastic HJB Equations and Regular Singular Points [PDF]
IIn this paper we show that some HJB equations arising from both finite and infinite horizon stochastic optimal control problems have a regular singular point at the origin. This makes them amenable to solution by power series techniques.
Krener, Arthur J.
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A Subspace Shift Technique for Nonsymmetric Algebraic Riccati Equations
The worst situation in computing the minimal nonnegative solution of a nonsymmetric algebraic Riccati equation associated with an M-matrix occurs when the corresponding linearizing matrix has two very small eigenvalues, one with positive and one with ...
Berman +21 more
core +1 more source
On the generalized algebraic Riccati equations
Abstract Three hundred years have passed since Jacopo Francesco Riccati analyzed a quadratic differential equation that would have been of crucial importance in many fields of engineering and applied mathematics. Indeed, countless variations and generalizations of this equation have been considered as they proved to be the right mathematical tool to ...
Ferrante, A., Ntogramatzidis, Lorenzo
openaire +2 more sources
Numerical Solution of Projected Algebraic Riccati Equations [PDF]
We consider the numerical solution of projected algebraic Riccati equations using Newton's method. Such equations arise, for instance, in model reduction of descriptor systems based on positive real and bounded real balanced truncation. We also discuss the computation of low-rank Cholesky factors of the solutions of projected Riccati equations ...
Peter Benner, Tatjana Stykel
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Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley +1 more source
Unconditionnally stable scheme for Riccati equation
We present a numerical scheme for the resolution of matrix Riccati equation used in control problems. The scheme is unconditionnally stable and the solution is definite positive at each time step of the resolution.
Abdelkader Saïdi +3 more
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Macroscopic Market Making Games
ABSTRACT Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the others. We begin with the linear case.
Ivan Guo, Shijia Jin
wiley +1 more source
Adaptive Leader-Following Consensus of Multi-Agent Systems with Unknown Nonlinear Dynamics
This paper deals with the leader-following consensus of multi-agent systems with matched nonlinear dynamics. Compared with previous works, the major difficulty here is caused by the simultaneous existence of nonidentical agent dynamics and unknown system
Junwei Wang, Kairui Chen, Qinghua Ma
doaj +1 more source
Nonsymmetric generic matrix equations
Let $(A_i)_{0\leq i\leq k}$ be generic matrices over $\mathbb{Q}$, the field of rational numbers. Let $K=\mathbb{Q}(E)$, where $E$ denotes the entries of the $(A_i)_i$, and let $\overline{K}$ be the algebraic closure of $K$.
Bourgeois, Gerald
core +3 more sources

