Overcoming the dissipation obstacle with Bicomplex Port-Hamiltonian Mechanics
نویسندگان
چکیده
منابع مشابه
Bicomplex Quantum Mechanics: II. The Hilbert Space
Using the bicomplex numbers T which is a commutative ring with zero divisors defined by T = {w0+w1i1+w2i2+ w3j | w0, w1, w2, w3 ∈ R} where i21 = −1, i22 = −1, j = 1, i1i2 = j = i2i1, we construct hyperbolic and bicomplex Hilbert spaces. Linear functionals and dual spaces are considered on these spaces and properties of linear operators are obtain; in particular it is established that the eigenv...
متن کاملBicomplex quantum mechanics: I. The generalized Schrödinger equation
We introduce the set of bicomplex numbers T which is a commutative ring with zero divisors defined by T = {w0 + w1i1 + w2i2 + w3j| w0, w1, w2, w3 ∈ R} where i21 = −1, i22 = −1, j = 1, i1i2 = j = i2i1. We present the conjugates and the moduli associated with the bicomplex numbers. Then we study the bicomplex Schrödinger equation and found the continuity equations. The discrete symmetries of the ...
متن کاملDiscrete port-Hamiltonian systems
Either from a control theoretic viewpoint or from an analysis viewpoint it is necessary to convert smooth systems to discrete systems, which can then be implemented on computers for numerical simulations. Discrete models can be obtained either by discretizing a smooth model, or by directly modeling at the discrete level itself. One of the goals of this paper is to model port-Hamiltonian systems...
متن کاملHamiltonian Mechanics with Geometric Calculus
Hamiltonian mechanics is given an invariant formulation in terms of Geometric Calculus, a general differential and integral calculus with the structure of Clifford algebra. Advantages over formulations in terms of differential forms are explained.
متن کاملOvercoming the Obstacle of High Relative Degree
Promulgated by some with religious-like fervor, viewed with skepticism by others, adaptive control has for almost forty years been one of the most alluring, intriguing, and often misunderstood areas within the eld of automatic control. In truth, despite its present shortcomings fe.g., its failure to adequately address performance issuesg adaptive control has come quite a long way since rst conc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IFAC-PapersOnLine
سال: 2020
ISSN: 2405-8963
DOI: 10.1016/j.ifacol.2020.12.1569