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| Author | : O.L.V. Costa |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 287 |
| Release | : 2006-03-30 |
| Genre | : Mathematics |
| ISBN | : 1846280826 |
This will be the most up-to-date book in the area (the closest competition was published in 1990) This book takes a new slant and is in discrete rather than continuous time
| Author | : Lixian Zhang |
| Publisher | : Springer |
| Total Pages | : 258 |
| Release | : 2016-01-19 |
| Genre | : Technology & Engineering |
| ISBN | : 3319288504 |
This book focuses on the basic control and filtering synthesis problems for discrete-time switched linear systems under time-dependent switching signals. Chapter 1, as an introduction of the book, gives the backgrounds and motivations of switched systems, the definitions of the typical time-dependent switching signals, the differences and links to other types of systems with hybrid characteristics and a literature review mainly on the control and filtering for the underlying systems. By summarizing the multiple Lyapunov-like functions (MLFs) approach in which different requirements on comparisons of Lyapunov function values at switching instants, a series of methodologies are developed for the issues on stability and stabilization, and l2-gain performance or tube-based robustness for l∞ disturbance, respectively, in Chapters 2 and 3. Chapters 4 and 5 are devoted to the control and filtering problems for the time-dependent switched linear systems with either polytopic uncertainties or measurable time-varying parameters in different sense of disturbances. The asynchronous switching problem, where there is time lag between the switching of the currently activated system mode and the controller/filter to be designed, is investigated in Chapter 6. The systems with various time delays under typical time-dependent switching signals are addressed in Chapter 7.
| Author | : Guoxiang Gu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 459 |
| Release | : 2012-02-14 |
| Genre | : Technology & Engineering |
| ISBN | : 1461422817 |
Discrete-Time Linear Systems: Theory and Design with Applications combines system theory and design in order to show the importance of system theory and its role in system design. The book focuses on system theory (including optimal state feedback and optimal state estimation) and system design (with applications to feedback control systems and wireless transceivers, plus system identification and channel estimation).
| Author | : Zoran M. Buchevats |
| Publisher | : CRC Press |
| Total Pages | : 454 |
| Release | : 2017-11-22 |
| Genre | : Technology & Engineering |
| ISBN | : 1351707590 |
This book covers crucial lacunae of the linear discrete-time time-invariant dynamical systems and introduces the reader to their treatment, while functioning under real, natural conditions, in forced regimes with arbitrary initial conditions. It provides novel theoretical tools necessary for the analysis and design of the systems operating in stated conditions. The text completely covers two well-known systems, IO and ISO, along with a new system, IIO. It discovers the concept of the full transfer function matrix F(z) in the z-complex domain, which incorporates the Z-transform of the system, input and another variable, vectors, all with arbitrary initial conditions. Consequently, it addresses the full system matrix P(z) and the full block diagram technique based on the use of F(z), which incorporates the Z-transform of the system, input and another variable, vectors, all with arbitrary initial conditions. The book explores the direct relationship between the system full transfer function matrix F(z) and the Lyapunov stability concept, definitions, and conditions, as well as with the BI stability concept, definitions, and conditions. The goal of the book is to unify the study and applications of all three classes of the linear discrete-time time-invariant system, for short systems.
| Author | : Robert J. Mayhan |
| Publisher | : Addison Wesley Publishing Company |
| Total Pages | : 682 |
| Release | : 1984 |
| Genre | : Science |
| ISBN | : |
| Author | : Aristide Halanay |
| Publisher | : Birkhäuser |
| Total Pages | : 237 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034884990 |
Discrete-time systems arise as a matter of course in modelling biological or economic processes. For systems and control theory they are of major importance, particularly in connection with digital control applications. If sampling is performed in order to control periodic processes, almost periodic systems are obtained. This is a strong motivation to investigate the discrete-time systems with time-varying coefficients. This research monograph contains a study of discrete-time nodes, the discrete counterpart of the theory elaborated by Bart, Gohberg and Kaashoek for the continuous case, discrete-time Lyapunov and Riccati equations, discrete-time Hamiltonian systems in connection with input-output operators and associated Hankel and Toeplitz operators. All these tools aim to solve the problems of stabilization and attenuation of disturbances in the framework of H2- and H-control theory. The book is the first of its kind to be devoted to these topics and consists mainly of original, recently obtained results.
| Author | : Alan V. Oppenheim |
| Publisher | : Pearson Educación |
| Total Pages | : 994 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : 9789701701164 |
1. Señales y sistemas 2. Sistemas lineales invariantes en el tiempo 3. Representación de señales periódicas en series de Fourier 4. La transformada contínua de Fourier 5. La transformada de Fourier de tiempo discreto 6. Caracterización en tiempo y frecuencia de señales y sistemas 7. Muestreo 8. Sistemas de comunicación 9. La transformada de Laplace 10. La transformada z 11. Sistemas lineales retroalimentados.
| Author | : Christiaan Heij |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 169 |
| Release | : 2006-12-18 |
| Genre | : Science |
| ISBN | : 3764375493 |
This book provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and engineering; the focus is on discrete time systems. The subjects treated are among the central topics of deterministic linear system theory: controllability, observability, realization theory, stability and stabilization by feedback, LQ-optimal control theory. Kalman filtering and LQC-control of stochastic systems are also discussed, as are modeling, time series analysis and model specification, along with model validation.
| Author | : Torsten Söderström |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 387 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1447101014 |
This comprehensive introduction to the estimation and control of dynamic stochastic systems provides complete derivations of key results. The second edition includes improved and updated material, and a new presentation of polynomial control and new derivation of linear-quadratic-Gaussian control.
| Author | : Vasile Dragan |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 349 |
| Release | : 2009-11-10 |
| Genre | : Mathematics |
| ISBN | : 1441906304 |
In this monograph the authors develop a theory for the robust control of discrete-time stochastic systems, subjected to both independent random perturbations and to Markov chains. Such systems are widely used to provide mathematical models for real processes in fields such as aerospace engineering, communications, manufacturing, finance and economy. The theory is a continuation of the authors’ work presented in their previous book entitled "Mathematical Methods in Robust Control of Linear Stochastic Systems" published by Springer in 2006. Key features: - Provides a common unifying framework for discrete-time stochastic systems corrupted with both independent random perturbations and with Markovian jumps which are usually treated separately in the control literature; - Covers preliminary material on probability theory, independent random variables, conditional expectation and Markov chains; - Proposes new numerical algorithms to solve coupled matrix algebraic Riccati equations; - Leads the reader in a natural way to the original results through a systematic presentation; - Presents new theoretical results with detailed numerical examples. The monograph is geared to researchers and graduate students in advanced control engineering, applied mathematics, mathematical systems theory and finance. It is also accessible to undergraduate students with a fundamental knowledge in the theory of stochastic systems.
