Generalized weighted homogeneity and state dependent time scale for linear controllable systems

Keywords

Sigma, Homogeneity (statistics), Physics, Positive-definite matrix, Combinatorics

References

• Homogeneous Lyapunov function for homogeneous continuous vector fieldLionel Rosier — 1992
• Nilpotent and High-Order Approximations of Vector Field SystemsHenry Hermes — 1991

Cited by

• Contributions à la planification et à la commande pour les robots mobiles coopératifsMichaël Defoort — 2007
• Une contribution à l'étude de la stabilité en temps fini et de la stabilisationEmmanuel Moulay — 2005
• On the equivalence between asymptotic and exponential stability, and between ISS and finite H/sub /spl infin// gainLars Grüne, Eduardo D. Sontag, Fabian Wirth — 1999
• Sliding mode control design for MIMO systems: Implicit Lyapunov Function approachAndrey Polyakov, Denis Efimov, Wilfrid Perruquetti — 2014
• Robust finite-time output feedback stabilisation of the double integratorEmmanuel Bernuau, Wilfrid Perruquetti, Denis Efimov — 2015
• On homogeneity and its application in sliding mode controlEmmanuel Bernuau, Denis Efimov, Wilfrid Perruquetti — 2014
• GLOBAL ROBUST SERVOMECHANISM OF A CLASS OF NONLINEAR SYSTEMS USING OUTPUT FEEDBACKZhiyong Chen, Jie Huang — 2007
• Generalized State Scaling and Applications to Feedback, Feedforward, and Nontriangular Nonlinear SystemsP. Krishnamurthy, Farshad Khorrami — 2007
• CONTINUOUS FINITE TIME OBSERVER FOR CHAOTIC SYNCHRONIZATIONWilfrid Perruquetti, Thierry Floquet — 2006
• Finite time convergent control using terminal sliding modeYiguang Hong, Guowu Yang, Daizhan Cheng — 2004
• Asymptotic stability equals exponential stability, and ISS equals finite energy gain---if you twist your eyesLars Grüne, Eduardo D. Sontag, Fabian Wirth — 1998
• Global output feedback stabilisation of nonlinear systems with a unifying linear controller structureXu Zhang, Yan Lin — 2014
• Finite-time stabilization and stabilizability of a class of controllable systemsYiguang Hong — 2002
• Global output feedback stabilization for uncertain nonlinear systems with output dependent incremental rateZhiyong Chen, Jie Huang — 2004
• Global finite-time stabilization: from state feedback to output feedbackYiguang Hong, Guowu Yang, Linda Bushnell — 2000
• Homogeneous finite time observer for nonlinear systems with linearizable error dynamicsWilfrid Perruquetti, Thierry Floquet — 2007
• On an extension of homogeneity notion for differential inclusionsEmmanuel Bernuau, Denis Efimov, Wilfrid Perruquetti — 2013
• To Sample or not to Sample: Self-Triggered Control for Nonlinear SystemsAdolfo Anta, Paulo Tabuada — 2008
• Space-time scaling laws for self-triggered controlAdolfo Anta, Paulo Tabuada — 2008
• Homogeneous continuous finite-time observer for the triple integratorEmmanuel Bernuau, Denis Efimov, Emmanuel Moulay — 2015

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