Mathematical description of linear dynamical systems

RE Kalman - Journal of the Society for Industrial and Applied …, 1963 - SIAM
… the linear dynamical system which generated it? We propose to call any such system a …
of any linear dynamical system. As a immediate consequence of this theorem, we find that a …

[書籍][B] Optimization and dynamical systems

U Helmke, JB Moore - 2012 - books.google.com
… is in fact a discrete-time dynamical system on a complex projective space CPn-1, where the
n-dimensional complex projective space CP" is the set of all one dimensional complex linear

Discontinuous dynamical systems

J Cortes - IEEE Control systems magazine, 2008 - ieeexplore.ieee.org
… The dynamical system is thus discontinuous along the bisector line. In optimization [9], [10],
continuous-time algorithms that perform generalized gradient descent, which is a …

[書籍][B] An introduction to dynamical systems

DK Arrowsmith, CM Place - 1990 - books.google.com
… Two main types of dynamical system are encountered in applications: those for which the …
is discrete (teZ or N) and those for which it is continuous (teR). Discrete dynamical systems can …

Hybrid dynamical systems

R Goebel, RG Sanfelice, AR Teel - IEEE control systems …, 2009 - ieeexplore.ieee.org
… A typical model of a discrete-time dynamical system is the first-order equation x1 5 g1x2, …
a hybrid dynamical system requires a description of the continuous-time dynamics, the discrete

[書籍][B] Discrete-time Markov jump linear systems

OLV Costa, MD Fragoso, RP Marques - 2006 - books.google.com
… It defines what we call a discrete-time homogeneous linear time-invariant system. For more
information on dynamic systems or proofs of the results presented in this section, the reader …

[書籍][B] Digital control of dynamic systems

GF Franklin, JD Powell, ML Workman - 1998 - academia.edu
… of the dynamic response of discrete systems. A … a linear, dynamic control component.
Needless to say, digital computers can do many things other than control linear, dynamic systems; it …

[書籍][B] Nonlinear dynamical systems and Carleman linearization

K Kowalski, W Steeb - 1991 - books.google.com
… study of nonlinear dynamical systems called the Carleman … description of nonlinear dynamical
systems. Applications of the … integrals for nonlinear dynamical systems are investigated in …

[書籍][B] Finite dimensional linear systems

RW Brockett - 2015 - SIAM
This book is based on a one-semester course on dynamical systems given in … systems. My
objective in this course is to provide a solid foundation for learning about dynamical systems

[書籍][B] An introduction to hybrid dynamical systems

AJ Van Der Schaft, H Schumacher - 2007 - books.google.com
dynamical systems that are" hybrid" in the sense that they contain both continuous and
discrete … in the study of the interaction between discrete and continuous dynamics. The present …