Energy functions for dissipativity-based balancing of discrete-time nonlinear systems
From MaRDI portal
Publication:850841
DOI10.1007/s00498-006-0007-zzbMath1106.93027OpenAlexW1975859123MaRDI QIDQ850841
Ricardo Lopezlena, Jacquelien M. A. Scherpen
Publication date: 6 November 2006
Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)
Full work available at URL: https://pure.rug.nl/ws/files/2853050/2006MathContSignsSystLopezlena.pdf
Controllability (93B05) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Observability (93B07)
Related Items (4)
A geometric approach to nonlinear dissipative balanced reduction. II: Internal isometries ⋮ A geometric approach to nonlinear dissipative balanced reduction. I: Exogenous signals ⋮ Dissipativity preserving balancing for nonlinear systems -- a Hankel operator approach ⋮ Strict dissipativity for discrete time discounted optimal control problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Balancing for nonlinear systems
- A behavioral approach to balanced representations of dynamical systems
- Observability functions for linear and nonlinear systems.
- L\(_2\) gain and passivity techniques in nonlinear control.
- Inversion method in the discrete-time nonlinear control systems synthesis problems
- Dissipative dynamical systems. I: General theory
- A Linear Algebraic Framework for the Analysis of Discrete-Time Nonlinear Systems
- All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
- Controllability of Nonlinear Discrete-Time Systems: A Lie-Algebraic Approach
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- Model reduction via balanced state space representations
- Observability of autonomous discrete time non-linear systems: a geometric approach
- Reversible linear and nonlinear discrete-time dynamics
- Normalized coprime factorizations and balancing for unstable nonlinear systems
- System-theoretic properties of sampled-data representations of nonlinear systems obtained via Taylor-Lie series
- H/sub ∞/-control of discrete-time nonlinear systems
- OnH∞-control of discrete-time nonlinear systems
- H∞ balancing for nonlinear systems
- Nonlinear input-normal realizations based on the differential eigenstructure of Hankel operators
This page was built for publication: Energy functions for dissipativity-based balancing of discrete-time nonlinear systems