Results 41 to 50 of about 34,677 (208)
Dichotomous Hamiltonians with Unbounded Entries and Solutions of Riccati Equations
An operator Riccati equation from systems theory is considered in the case that all entries of the associated Hamiltonian are unbounded. Using a certain dichotomy property of the Hamiltonian and its symmetry with respect to two different indefinite inner
C. R. Kuiper +16 more
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New Oscillation Theorems for Second-Order Differential Equations with Canonical and Non-Canonical Operator via Riccati Transformation [PDF]
Shyam Sundar Santra +4 more
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This paper presents a robust H∞ decentralised and centralised control approach for a microsurgical manipulator using Particle Swarm Optimisation and Gravitational Search Algorithm (PSOGSA). The proposed fixed‐structure Proportional‐Integral‐Derivative (PID)‐based controllers address implementation challenges of conventional high‐order H∞ controllers ...
Somyot Kaitwanidvilai +2 more
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Mean--field control and Riccati equations
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HERTY, Michael Matthias +2 more
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We show that the Riccati--Pad\'{e} method is suitable for the calculation of the complex eigenvalues of the Schr\"{o}dinger equation with a repulsive exponential potential.
Atabek +15 more
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ABSTRACT Off‐road path planning and navigation often struggle with complex challenges, such as diverse surface conditions that demand adaptability, stability‐sensitive vehicle dynamics on low‐adhesion terrain, and the persistent trade‐off between real‐time performance and path quality.
Jiang Song +3 more
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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
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Riccati-based solution to the optimal control of linear evolution equations with finite memory
Paolo Acquistapace, Francesca Bucci
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A low-rank solution method for Riccati equations with indefinite quadratic terms [PDF]
Peter Benner +2 more
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Convergence of Galerkin approximations for operator Riccati equations: A nonlinear evolution equation approach [PDF]
An approximation and convergence theory was developed for Galerkin approximations to infinite dimensional operator Riccati differential equations formulated in the space of Hilbert-Schmidt operators on a separable Hilbert space.
Rosen, I. G.
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