The classical Cayley-Hamilton theorem is extended to nonlinear time-varying systems with square and rectangular system matrices. It is shown that in both cases system matrices satisfy many equations with coefficients being the coefficients of characteristic polynomials of suitable square matrices. The proposed theorems are illustrated with numerical examples
Basic results of the oscillation and transformation theories of linear Hamiltonian dynamic systems o...
10.1007/s11432-007-0041-6Science in China, Series F: Information Sciences505671-68
A simple proof of the Cayley-Hamilton theorem for the case of two-dimensional systems is presented. ...
gular. New extension of the classical Cayley-Hamilton theo-rem for rectangular matrices, block matri...
A definition is given for the characteristic equation of anN-partitioned matrix. It is then proved t...
The classical Cayley-Hamilton theorem is extended to Drazin inverse matrices and to standard inverse...
The statement of Cayley-Hamilton theorem is that every square matrix satisfies its own characteristi...
The classical Cayley–Hamilton theorem is extended to fractional different order linear systems. The ...
SIGLEAvailable from British Library Document Supply Centre- DSC:7673.7004(85/25) / BLDSC - British L...
Cayley-Hamilton is one of the well-known theorems that is formulated and proved in linear algebra on...
Abstract. We review some of the current research in multiparameter spectral theory. We prove a versi...
The Cayley-Hamilton theorem is an important theorem of linear algebra which is well known and used i...
We discuss implicit systems of ordinary linear differential equations with (time-) variable coeffici...
The main goal of this thesis is to examine linear dynamical systems, both in the continuous- and dis...
We extend the technique of the evolution operator to matrix differential equations. Itis shown that ...
Basic results of the oscillation and transformation theories of linear Hamiltonian dynamic systems o...
10.1007/s11432-007-0041-6Science in China, Series F: Information Sciences505671-68
A simple proof of the Cayley-Hamilton theorem for the case of two-dimensional systems is presented. ...
gular. New extension of the classical Cayley-Hamilton theo-rem for rectangular matrices, block matri...
A definition is given for the characteristic equation of anN-partitioned matrix. It is then proved t...
The classical Cayley-Hamilton theorem is extended to Drazin inverse matrices and to standard inverse...
The statement of Cayley-Hamilton theorem is that every square matrix satisfies its own characteristi...
The classical Cayley–Hamilton theorem is extended to fractional different order linear systems. The ...
SIGLEAvailable from British Library Document Supply Centre- DSC:7673.7004(85/25) / BLDSC - British L...
Cayley-Hamilton is one of the well-known theorems that is formulated and proved in linear algebra on...
Abstract. We review some of the current research in multiparameter spectral theory. We prove a versi...
The Cayley-Hamilton theorem is an important theorem of linear algebra which is well known and used i...
We discuss implicit systems of ordinary linear differential equations with (time-) variable coeffici...
The main goal of this thesis is to examine linear dynamical systems, both in the continuous- and dis...
We extend the technique of the evolution operator to matrix differential equations. Itis shown that ...
Basic results of the oscillation and transformation theories of linear Hamiltonian dynamic systems o...
10.1007/s11432-007-0041-6Science in China, Series F: Information Sciences505671-68
A simple proof of the Cayley-Hamilton theorem for the case of two-dimensional systems is presented. ...