Overview
- Presents new approaches in stability analysis of various systems, which is still one of the most burning problems of control theory
- Deals with nonautonomous linear and nonlinear continuous finite dimensional systems
- Useful for researchers as well as graduate students in control and applied mathematics
Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 314)
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Table of contents (17 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Explicit Stability Conditions for Continuous Systems deals with non-autonomous linear and nonlinear continuous finite dimensional systems. Explicit conditions for the asymptotic, absolute, input-to-state and orbital stabilities are discussed. This monograph provides new tools for specialists in control system theory and stability theory of ordinary differential equations, with a special emphasis on the Aizerman problem. A systematic exposition of the approach to stability analysis based on estimates for matrix-valued functions is suggested and various classes of systems are investigated from a unified viewpoint.
Bibliographic Information
Book Title: Explicit Stability Conditions for Continuous Systems
Book Subtitle: A Functional Analytic Approach
Authors: Michael I. Gil’
Series Title: Lecture Notes in Control and Information Sciences
DOI: https://doi.org/10.1007/b99808
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2005
Softcover ISBN: 978-3-540-23984-0Published: 17 March 2005
eBook ISBN: 978-3-540-31637-4Published: 05 August 2005
Series ISSN: 0170-8643
Series E-ISSN: 1610-7411
Edition Number: 1
Number of Pages: X, 190
Topics: Control, Robotics, Mechatronics, Vibration, Dynamical Systems, Control, Systems Theory, Control, Complex Systems, Statistical Physics and Dynamical Systems