Infinite-dimensional Lur'e systems with almost periodic forcing
DOI10.1007/s00498-020-00262-yzbMath1455.93097OpenAlexW3048619550MaRDI QIDQ2218171
Max E. Gilmore, Chris Guiver, Hartmut Logemann
Publication date: 14 January 2021
Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00498-020-00262-y
absolute stabilityalmost periodic functionsinfinite-dimensional systemscircle criterionLur'e systemssmall gainincremental input-to-state stability
Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Multivariable systems, multidimensional control systems (93C35) Input-output approaches in control theory (93D25) Almost and pseudo-almost periodic solutions to PDEs (35B15)
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Cites Work
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- Well-posed systems -- the LTI case and beyond
- Input to state stability and allied system properties
- Transfer functions of infinite-dimensional systems: positive realness and stabilization
- Input-to-state stability for PDEs
- Input-to-state stability of Lur'e systems
- On sums and products of periodic functions
- Destabilization by output feedback
- Almost periodic differential equations
- Characterizations of almost periodic strongly continuous groups and semigroups
- Regular linear systems with feedback
- Input-to-state stability for a class of Lur'e systems
- The matrix-inequality method in the theory of the stability of nonlinear control systems. I: The absolute stability of forced vibrations
- State-feedback stabilization of well-posed linear systems
- On the response of time-variable nonlinear systems to almost periodic signals
- Optimizability and Estimatability for Infinite-Dimensional Linear Systems
- The circle criterion and almost periodic inputs
- Mathematical Systems Theory I
- Almost Periodic Oscillations and Waves
- Input-to-State Stability of Differential Inclusions with Applications to Hysteretic and Quantized Feedback Systems
- The Weighted Pointwise Ergodic Theorem and the Individual Ergodic Theorem Along Subsequences
- Infinite Dimensional Linear Systems With Unbounded Control and Observation: A Functional Analytic Approach
- Compactness in Spaces of Vector Valued Continuous Functions and Asymptotic Almost Periodicity
- Realization theory in Hilbert space
- Criteria for the Response of Nonlinear Systems to be L-Asymptotically Periodic
- Transfer Functions of Regular Linear Systems. Part I: Characterizations of Regularity
- Stability Results of Popov-Type for Infinite-Dimensional Systems with Applications to Integral Control
- Transfer functions of regular linear systems Part II: The system operator and the Lax–Phillips semigroup
- The spectral coefficients of the response of nonlinear systems to asymptotically almost periodic inputs
- Low-Gain Integral Control for Multi-Input Multioutput Linear Systems With Input Nonlinearities
- Infinite-Dimensional Lur'e Systems: Input-To-State Stability and Convergence Properties
- Smooth stabilization implies coprime factorization
- A Lyapunov approach to incremental stability properties
- The Circle Criterion and Input-to-State Stability
- Some Results on the Theory of Physical Systems Governed Nonlinear Functional Equations
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