# Controlled and Conditioned Invariance

The controlled invariance Given in 3," the linear transformation A and the "controlling" subspace 3 , a subspace '3 is a controlled invari— ant underA with respect to 3' , or simply an 5A,:fZ-controlled invariant, if A?! s 3' + 3 .

Author: Giuseppe Basile

Publisher: Springer

ISBN: 9783709129531

Category: Computers

Page: 51

View: 921

Categories: Computers

# Controlled and Conditioned Invariant Subspaces in Linear System Theory

The concept of invariance of a subspace under a linear transformation is strongly connected with controllability and observability problems of linear dynamical systems.

Author: Giuseppe Basile

Publisher:

ISBN: OCLC:227500096

Category:

Page: 21

View: 618

The concept of invariance of a subspace under a linear transformation is strongly connected with controllability and observability problems of linear dynamical systems. In this paper we define 'controlled' and 'conditioned' invariant subspaces as a generalization of the simple invariants, for the purpose of investigating some further structural properties of linear systems. Moreover, we prove some fundamental theorems on which the computation of the above mentioned subspaces is based. Then we give two examples of practical application of the previously defined concepts concerning the determination of the constant output and perfect output controllability subspaces. (Author).
Categories:

# Controlled and Conditioned Invariants in Linear System Theory

Using a geometric approach to system theory, this work discusses controlled and conditioned invariance to geometrical analysis and design of multivariable control systems, presenting new mathematical theories, new approaches to standard ...

Author: Giuseppe Basile

Publisher:

ISBN: UOM:39015024980800

Category: Linear systems.

Page: 464

View: 477

Using a geometric approach to system theory, this work discusses controlled and conditioned invariance to geometrical analysis and design of multivariable control systems, presenting new mathematical theories, new approaches to standard problems and applied mathematics topics.
Categories: Linear systems.

# Systems Models and Feedback Theory and Applications

V C A is an (A, B)-controlled invariant if AV C V+B and that SC 3' is an (A, C)-conditioned invariant if A(SnC) C. S. The maximum (A, B)controlled invariant contained in a given subspace & C & will be denoted by max V(A, B, ...

Author: A. Isidori

Publisher: Springer Science & Business Media

ISBN: 9781475722048

Category: Science

Page: 404

View: 710

It is a great honor and privilege to have this opportunity of celebrating the 65th birthday of Professor Antonio Ruberti by holding an International Conference on Systems, Models and Feedback. The conference, and this volume which contains its proceedings, is a tribute to Professor Ruberti in acknowledgement of his major contributions to System Theory, at a time in which this area was emerging and consolidat ing as an independent discipline, his role as a leader of the Italian academic community, his activity in promoting and fostering close scientific relations between Italian and U.S. scholars in Systems and Control. The format of this conference is inspired by a series of seminars initi ated exactly twenty years ago under the direction of Professor Ruberti, in Italy, and Professor R. R. Mohler, in the U.S. By bringing together many authoritative talents from both countries, these seminars were instrumental in promoting the expansion of System Theory in new areas, notably that of Nonlinear Control, and were the key to successful scientific careers for many of the younger attendants.
Categories: Science

# The Control Handbook three volume set

( 2002 ) , with additional later results found in the newer books , for example , controlled and conditioned invariant subspaces and duality are treated in an organized fashion in the 2nd book and , in addition to the duality ...

Author: William S. Levine

Publisher: CRC Press

ISBN: 9781420073676

Category: Technology & Engineering

Page: 3526

View: 201

At publication, The Control Handbook immediately became the definitive resource that engineers working with modern control systems required. Among its many accolades, that first edition was cited by the AAP as the Best Engineering Handbook of 1996. Now, 15 years later, William Levine has once again compiled the most comprehensive and authoritative resource on control engineering. He has fully reorganized the text to reflect the technical advances achieved since the last edition and has expanded its contents to include the multidisciplinary perspective that is making control engineering a critical component in so many fields. Now expanded from one to three volumes, The Control Handbook, Second Edition brilliantly organizes cutting-edge contributions from more than 200 leading experts representing every corner of the globe. They cover everything from basic closed-loop systems to multi-agent adaptive systems and from the control of electric motors to the control of complex networks. Progressively organized, the three volume set includes: Control System Fundamentals Control System Applications Control System Advanced Methods Any practicing engineer, student, or researcher working in fields as diverse as electronics, aeronautics, or biomedicine will find this handbook to be a time-saving resource filled with invaluable formulas, models, methods, and innovative thinking. In fact, any physicist, biologist, mathematician, or researcher in any number of fields developing or improving products and systems will find the answers and ideas they need. As with the first edition, the new edition not only stands as a record of accomplishment in control engineering but provides researchers with the means to make further advances.
Categories: Technology & Engineering

# Nonlinear Dynamical Control Systems

In R.W. Brockett, R.S. Millman, and H.J. Sussmann, editors, Differential Geometric Control Theory, pages 209–225. Birkhäuser, Boston, 1983. G. Basile and G. Marro. Controlled and conditioned invariant subspaces in linear systems theory.

Author: Henk Nijmeijer

Publisher: Springer Science & Business Media

ISBN: 9781475721010

Category: Technology & Engineering

Page: 426

View: 142

This volume deals with controllability and observability properties of nonlinear systems, as well as various ways to obtain input-output representations. The emphasis is on fundamental notions as (controlled) invariant distributions and submanifolds, together with algorithms to compute the required feedbacks.
Categories: Technology & Engineering

# System Structure and Control 2004

G. and G. Marro ( 1973 ) , " Controlled and conditioned invariant subspaces in linear system theory " , J. Optim . Theory and Appl . 3 , 306316 . Emre , E. and M.L.J. Hautus ( 1980 ) , " A polynomial characterization of ( A ...

Author: Sabine Mondie

Publisher: Elsevier

ISBN: 0080441319

Category: Technology & Engineering

Page: 740

View: 436

Categories: Technology & Engineering

# Control and Dynamic Systems V53 High Performance Systems Techniques and Applications

The problem of estimating the state of a linear time invariant dynamical system subject to both known and unknown inputs (e.g. disturbances) has been considered by a number of authors [1 1-21]. Notions of controlled and conditioned ...

Author: C.T. Leonides

Publisher: Elsevier

ISBN: 9780323163170

Category: Technology & Engineering

Page: 540

View: 926

Control and Dynamic Systems: Advances in Theory and Applications, Volume 53: High Performance Systems Techniques and Applications covers the significant research works on the issues and applications of high performance control systems techniques. This book is divided into 11 chapters and starts with an examination of the contribution of computing power with advances in theory in global optimization. The next chapters present robust solution techniques for combined filtering and parameter estimation in discrete time and the design and analysis of model reference adaptive control techniques for both continuous and discrete time multivariable plants with additive and multiplicative unmodeled dynamics. These topics are followed by discussions of the decentralized adaptive control; robust recursive estimation of states and parameters of bilinear systems; the design of robust control systems under uncertainty cases; and the techniques for state estimation for linear stationary dynamic systems that are subject to unknown time varying plant and output disturbances. Other chapters deal with the sliding control algorithm, the techniques in robust broadband beamforming, and the different categories of robust robotic controllers. The final chapter looks into the problems and issues of performance and versatility of non-linear control and the application of artificial neural networks. This book is of great value to process, control, mechanical, and design engineers.
Categories: Technology & Engineering

# Symbolic Methods in Control System Analysis and Design

2 6 BASILE , G. , and MARRO , G .: ' Controlled and conditioned invariant subspaces in linear system theory ' ( Prentice Hall , 1969 ) 7 JAFFE , S. , and KARCANIAS , N .: Matrix pencil characteristation of almost ( A , B ) -invariant ...

Author: N. Munro

Publisher: IET

ISBN: 0852969430

Category: Technology & Engineering

Page: 393

View: 389

Fifteen contributions provide an up-to-date treatment of issues in system modeling, system analysis, design and synthesis methods, and nonlinear systems. Coverage includes the application of multidimensional Laplace transforms to the modeling of nonlinear elements, a survey of customized computer algebra modeling programs for multibody dynamical systems, robust control of linear systems using a new linear programming approach, the development and testing of a new branch-and-bound algorithm fir global optimization using symbolic algebra techniques, and dynamic sliding mode control design using symbolic algebra tools.
Categories: Technology & Engineering

# Linear Algebra in Signals Systems and Control

[ 2 ] KALMAN , R. E. , Mathematical Description of Optimal Control Systems , SIAM Journal of Control , Vol . ... [ 6 ] BASILE , G. and MARRO , G. , Controlled and Conditioned Invariant Subspaces in Lineary System Theory , Journal of ...

Author: Biswa Nath Datta

Publisher: SIAM

ISBN: 0898712238

Category: Technology & Engineering

Page: 667

View: 818

Categories: Technology & Engineering