Results 31 to 40 of about 5,734,057 (175)
Sliding Motions on Non‐Euclidean State Spaces: A Differential‐Geometric Perspective
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper extends sliding‐mode control theory to nonlinear systems evolving on smooth manifolds. Building on differential geometric methods, we reformulate Filippov's notion of solutions, characterize well‐defined vector fields on quotient spaces, and provide a consistent geometric definition of higher‐order sliding modes.
Fernando Castaños
wiley +1 more source
Warped Product Submanifolds of LP-Sasakian Manifolds [PDF]
, 2012 We study of warped product submanifolds, especially warped product hemi-slant submanifolds of LP-Sasakian manifolds. We obtain the results on the nonexistance or existence of warped product hemi-slant submanifolds and give some examples of LP-Sasakian ...
S. K. Hui +3 more
core +1 more source
Spectral Submanifolds of Delay Systems: Control in Continuous and Discrete Time
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper presents both continuous‐time and discretization‐based approaches for constructing spectral submanifolds (SSMs) for time delay systems. The continuous‐time approach built upon sun–star calculus, reformulates the governing delay differential equation (DDE) as an operator differential equation (OpDE).
Bence Szaksz +2 more
wiley +1 more source
Screen Cauchy Riemann lightlike submanifolds
, 2005 We introduce a new class of lightlike submanifolds, namely, Screen Cauchy Riemann (SCR) lightlike submanifolds of indefinite Kaehler manifolds. Contrary to CR-lightlike submanifolds, we show that SCR-lightlike submanifolds include invariant (complex) and
Duggal, KL +3 more
core +1 more source
Submanifolds of Almost-Complex Metallic Manifolds
, 2023 Our paper aims to study the geometry of submanifolds of an almost-complex metallic manifold. We give an example of this type of manifold, and reveal the fundamental properties of structure induced on submanifolds.
Ayşe Torun +3 more
core +1 more source
Orbital Stabilization of Hybrid Mechanical Systems—A Port‐Hamiltonian Approach
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In this article, we address the problem of stabilizing hybrid periodic orbits in mechanical systems characterized by both continuous and discrete dynamics. We introduce a total energy shaping controller, formulated in the port‐Hamiltonian framework, that guarantees asymptotic orbital stability of a prescribed hybrid periodic orbit.
Thomas O'Brien +2 more
wiley +1 more source
The symplectic geometry of p-form gauge fields
Journal of High Energy PhysicsWe formulate interacting antisymmetric tensor gauge theory in a configuration space consisting of a pair of dual field strengths which has a natural symplectic structure. The field equations are formulated as the intersection of a pair of submanifolds of
Chris Hull, Maxim Zabzine
doaj +1 more source
Deformation of Surfaces in Lie Sphere Geometry [PDF]
, 2006 The theory of surfaces in Euclidean space can be naturally formulated in the more general context of Legendre surfaces into the space of contact elements. We address the question of deformability of Legendre surfaces with respect to the symmetry group of
Musso, Emilio, Nicolodi, L., NICOLODI L.
core
Calibrating Bayesian inference
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Bayesian statistics has gained popularity in psychological research due to its intuitive uncertainty quantification and convenient information‐updating rules. In many applications, however, prior distributions are introduced merely as instruments to facilitate computation, rather than as representations of genuine subjective belief ...
Yang Liu +2 more
wiley +1 more source
On totally real minimal submanifolds in complex projective space [PDF]
, 2005 summary:In this paper, we obtain some pinching theorems for totally real minimal submanifolds in complex projective ...
Chao, Xiaoli, Li, Yaowen
core +1 more source